Výsledky vyhledávání - Integration with respect to measures and other set functions

Some improvements of McShane and Hölder-type inequalities via superquadratic functions

Autoři: Shumaila Rani Rabia Bibi

Zdroj: Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-13 (2024)

Témata: superquadratic functions, Time-scale calculus, Hölder's inequality, 01 natural sciences, Superquadratic functions, Dynamic equations on time scales or measure chains, McShane's inequality, time-scale calculus, QA1-939, Inequalities for sums, series and integrals, positive linear functionals, Positive linear functionals, 0101 mathematics, Integration with respect to measures and other set functions, Mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://doaj.org/article/4a9ac2d569884f28882e676d093df4a5

Coarea inequality for monotone functions on metric surfaces

Autoři: Ikonen, Toni Rajala Kai a další

Zdroj: Transactions of the American Mathematical Society.

Témata: Length, area, volume, other geometric measure theory, ta111, Metric Geometry (math.MG), Inequalities in metric spaces, metriset avaruudet, 01 natural sciences, integraaliyhtälöt, Hausdorff and packing measures, Mathematics - Metric Geometry, 28A25, 28A75, 28A78, 30L10, 30L15, Quasiconformal mappings in metric spaces, FOS: Mathematics, Matematiikka, mittateoria, 0101 mathematics, epäyhtälöt, Integration with respect to measures and other set functions, Mathematics

Popis souboru: application/xml; application/pdf; fulltext

Přístupová URL adresa: http://arxiv.org/abs/2208.06185
http://juuli.fi/Record/0677160623
https://doi.org/10.1090/tran/8998
http://urn.fi/URN:NBN:fi:jyu-202402222061

On the Measurability of Functions with Respect to Certain Classes of Measures: On the measurability of functions with respect to certain classes of measures

Autoři: Alexander Kharazishvili A. Kirtadze

Zdroj: gmj. 11:489-494

Témata: Vitali partition, absolutely nonmeasurable function, Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets, Contents, measures, outer measures, capacities, 0101 mathematics, Measure-preserving transformations, extension of measure, Integration with respect to measures and other set functions, generalized Luzin set, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://www.heldermann-verlag.de/gmj/gmj11/gmj11042.pdf
https://zbmath.org/2114273
https://www.degruyter.com/dg/viewarticle.layout.displayshoppingcartlink:shoppingcartinfolink?format=INT&t:ac=j$002fgmj.2004.11.issue-3$002fgmj.2004.489$002fgmj.2004.489.xml
http://www.heldermann-verlag.de/gmj/gmj11/gmj11042.pdf

Measure and Integration: Comparison of old and new procedures: Measure and integration: Comparison of old and new procedures

Autoři: Heinz König

Zdroj: Measure and Integration ISBN: 9783034803816

Témata: Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures, regularity, 9. Industry and infrastructure, 4. Education, 0103 physical sciences, Contents, measures, outer measures, capacities, outer and inner extension theories, 0101 mathematics, Set functions and measures on topological spaces (regularity of measures, etc.), 16. Peace & justice, Integration with respect to measures and other set functions, 01 natural sciences, Daniell-Stone theorem

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1295491
https://rd.springer.com/chapter/10.1007/978-3-0348-0382-3_5
https://link.springer.com/article/10.1007/s000130050322
https://link.springer.com/content/pdf/10.1007%2F978-3-0348-0382-3_5.pdf

Measure and Integration: Integral representations of isotone functionals: Measure and integration: Integral representations of isotone functionals

Autoři: Heinz König

Zdroj: Measure and Integration ISBN: 9783034803816

Témata: Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures, Stonean functional, supermodular measure, Contents, measures, outer measures, capacities, Choquet type integral, Set functions and measures on topological spaces (regularity of measures, etc.), Stonean lattice, Integration with respect to measures and other set functions, submodular measure

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1269742
https://rd.springer.com/chapter/10.1007/978-3-0348-0382-3_4
https://link.springer.com/chapter/10.1007/978-3-0348-0382-3_4
https://link.springer.com/content/pdf/10.1007%2F978-3-0348-0382-3_4.pdf

A measure theoretic perspective on the space of Feynman diagrams

Autoři: Ali Shojaei-Fard

Zdroj: Boletín de la Sociedad Matemática Mexicana. 24:507-533

Témata: measure theory, Infinite graphs, 0103 physical sciences, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc, operational calculus, 0101 mathematics, Integration with respect to measures and other set functions, Green's functions for elliptic equations, quantum field theory, 01 natural sciences, Feynman diagrams, graphons, Nonperturbative methods of renormalization applied to problems in quantum field theory

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007/s40590-017-0166-6
https://dialnet.unirioja.es/servlet/articulo?codigo=6767195

Dense Sets in Spaces of Integrable Functions: Dense sets in spaces of integrable functions

Autoři: P. Rolicz

Zdroj: Journal of Mathematical Analysis and Applications. 192:16-30

Témata: Approximation by polynomials, approximation of \(L^ p\)-functions, Luzin theorem, Applied Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Stone-Weierstrass theorem, Lebesgue dominated convergence theorem, 02 engineering and technology, Integration with respect to measures and other set functions, Approximation by other special function classes, Analysis, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/786116
https://doi.org/10.1006/jmaa.1995.1157
https://core.ac.uk/display/82419151
https://www.sciencedirect.com/science/article/pii/S0022247X85711572
https://www.sciencedirect.com/science/article/abs/pii/S0022247X85711572

Integration with respect to orthogonally scattered measures

Autoři: SAMBUCINI, Anna Rita ISIDORI M. C. MARTELLOTTI, Anna

Témata: orthogonally scattered measure, monotone integral, Hilbert space, orthogonally scattered dilation, Stone transform, Vector-valued set functions, measures and integrals, 0101 mathematics, Vector-valued measures and integration, Hilbert-space-valued additive measures, Bochner integral, 01 natural sciences, Integration with respect to measures and other set functions

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1444494
https://hdl.handle.net/11391/109361
http://dml.cz/dmlcz/129895

Measure and Integration: An attempt at unified systematization: Measure and integration: an attempt at unified systematization

Autoři: König, Heinz

Zdroj: Measure and Integration ISBN: 9783034803816

Témata: set function, extension, Radon measure, 0211 other engineering and technologies, Research exposition (monographs, survey articles) pertaining to measure and integration, 02 engineering and technology, Set functions and measures on topological spaces (regularity of measures, etc.), 01 natural sciences, Measures and integrals in product spaces, Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures, integral representation of functionals, outer regular, inner regular, Choquet integral, Contents, measures, outer measures, capacities, 0101 mathematics, Integration with respect to measures and other set functions

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://www.math.uni-sb.de/service/preprints/preprint42.pdf
https://zbmath.org/2064686
https://www.openstarts.units.it/bitstream/10077/4204/1/KonigRendMat34.pdf
https://rd.springer.com/chapter/10.1007/978-3-0348-0382-3_10
https://link.springer.com/chapter/10.1007%2F978-3-0348-0382-3_10
https://www.openstarts.units.it/handle/10077/4204
http://scidok.sulb.uni-saarland.de/volltexte/2011/4361/pdf/preprint_42_01.pdf
https://link.springer.com/content/pdf/10.1007%2F978-3-0348-0382-3_10.pdf
https://hdl.handle.net/10077/4204

Finitely additive Radon-Nikodým theorem and concentration function of a probability with respect to a probability

Autoři: BERTI P. REGAZZINI, EUGENIO RIGO, PIETRO a další

Přispěvatelé: BERTI P. REGAZZINI, EUGENIO RIGO, PIETRO a další

Zdroj: Proceedings of the American Mathematical Society. 114:1069-1078

Témata: 0301 basic medicine, extension, finitely additive probabilities, Measures on Boolean rings, measure algebras, 01 natural sciences, finitely-additive probability, 03 medical and health sciences, Radon-Nikodym theorem, concentration function, existence of a density, Radon-Nikodym theorem for finitely additive probabilities, Probabilistic measure theory, 0101 mathematics, Integration with respect to measures and other set functions, Concentration function

Popis souboru: application/xml; STAMPA

Přístupová URL adresa: https://www.ams.org/proc/1992-114-04/S0002-9939-1992-1045586-7/S0002-9939-1992-1045586-7.pdf
https://www.ams.org/proc/1992-114-04/S0002-9939-1992-1045586-7/S0002-9939-1992-1045586-7.pdf
https://www.jstor.org/stable/2159630
https://www.ams.org/journals/proc/1992-114-04/S0002-9939-1992-1045586-7/home.html

Integration of compact set-valued functions

Autoři: Artstein, Zvi Burns, John A.

Zdroj: Pacific J. Math. 58, no. 2 (1975), 297-307

Témata: Set functions, measures and integrals with values in ordered spaces, 28A45, 0101 mathematics, Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence, Integration with respect to measures and other set functions, 01 natural sciences, 46G10

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://msp.org/pjm/1975/58-2/pjm-v58-n2-p01-s.pdf
https://zbmath.org/3507045
https://doi.org/10.2140/pjm.1975.58.297
https://projecteuclid.org/DPubS?verb=Display&version=1.0&service=UI&handle=euclid.pjm/1102905661&page=record
https://msp.org/pjm/1975/58-2/p01.xhtml
https://msp.org/pjm/1975/58-2/pjm-v58-n2-p01-s.pdf
https://projecteuclid.org/download/pdf_1/euclid.pjm/1102905661
http://projecteuclid.org/euclid.pjm/1102905661

On the role of L-Baire functions in abstract measure and integration: On the role of L-Baire functions in abstract measures and integration

Autoři: Melvin J. Maron

Zdroj: Glasgow Mathematical Journal. 16:61-67

Témata: 0301 basic medicine, 0303 health sciences, 03 medical and health sciences, Classification of real functions, Baire classification of sets and functions, Real- or complex-valued set functions, Integration with respect to measures and other set functions

Popis souboru: application/xml

Přístupová URL adresa: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/3169DB3435A55A4F04F64FDFC67C2D5B/S0017089500002524a.pdf/div-class-title-on-the-role-of-span-class-italic-l-span-baire-functions-in-abstract-measure-and-integration-div.pdf
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0017089500002524
http://journals.cambridge.org/article_S0017089500002524

Perturbed Evolution Problems with Continuous Bounded Variation in Time and Applications: Perturbed evolution problems with continuous bounded variation in time and applications

Autoři: Dalila Azzam-Laouir Charles Castaing M. D. P. Monteiro Marques

Zdroj: Set-Valued and Variational Analysis. 26:693-728

Témata: Functional-differential inclusions, pseudo-distance, Skorokhod problem, Evolution inclusions, perturbation, 0211 other engineering and technologies, 02 engineering and technology, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, maximal monotone operator, 01 natural sciences, control theory, Stochastic ordinary differential equations (aspects of stochastic analysis), Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.), bounded variation, Lipschitz, 0101 mathematics, Integration with respect to measures and other set functions, Ordinary differential inclusions, Control problems involving ordinary differential equations, existence and uniqueness

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/6936449
https://doi.org/10.1007/s11228-017-0432-9
https://link.springer.com/article/10.1007/s11228-017-0432-9

Weakly compact operators and u-additive measures: Weakly compact operators and U-additive measures

Autoři: Miguel Nova-Yañez José Aguayo-Garrido

Zdroj: Annales mathématiques Blaise Pascal. 7:1-11

Témata: completely regular Hausdorff space, Spaces of measures, convergence of measures, 01 natural sciences, General theory of locally convex spaces, Linear operators defined by compactness properties, U-additive measures, Topological linear spaces of continuous, differentiable or analytic functions, Vector-valued measures and integration, weakly compact operators, real locally convex Hausdorff spaces, 0101 mathematics, Integration with respect to measures and other set functions, Spaces of measures, Representation theory of linear operators

Popis souboru: application/xml

Přístupová URL adresa: http://archive.numdam.org/article/AMBP_2000__7_2_1_0.pdf
https://zbmath.org/1587413
https://doi.org/10.5802/ambp.127
http://www.numdam.org/item/AMBP_2000__7_2_1_0.pdf
https://eudml.org/doc/79222
http://ambp.cedram.org/item?id=AMBP_2000__7_2_1_0
http://www.numdam.org/item/AMBP_2000__7_2_1_0/

A Domain-Theoretic Approach to Integration in Hausdorff Spaces: A domain-theoretic approach to integration in Hausdorff spaces

Autoři: J. D. Howroyd

Zdroj: LMS Journal of Computation and Mathematics. 3:229-273

Témata: Probability measures on topological spaces, partially ordered set, Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures, domain-theoretic integral, Hausdorff spaces, Continuous lattices and posets, applications, Ordered topological structures, 0102 computer and information sciences, 0101 mathematics, Integration with respect to measures and other set functions, 01 natural sciences, rounded ideal completion

Popis souboru: application/xml

Přístupová URL adresa: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/EB8823433F006C1B8BAB74F73DC252F7/S1461157000000292a.pdf/div-class-title-a-domain-theoretic-approach-to-integration-in-hausdorff-spaces-div.pdf
https://zbmath.org/1509492
https://doi.org/10.1112/s1461157000000292
https://www.cambridge.org/core/journals/lms-journal-of-computation-and-mathematics/article/domaintheoretic-approach-to-integration-in-hausdorff-spaces/EB8823433F006C1B8BAB74F73DC252F7

Domains, integration and ‘positive analysis’: Domains, integration and `positive analysis'

Autoři: Jimmie Lawson

Zdroj: Mathematical Structures in Computer Science. 14:815-832

Témata: Other connections with logic and set theory, S-integral, 0102 computer and information sciences, Riemann-Edalat integral, 01 natural sciences, Continuous lattices and posets, applications, continuous domain, survey, Contents, measures, outer measures, capacities, horizontal integral, 0101 mathematics, Integration with respect to measures and other set functions, valuation, Constructive real analysis, Constructive and recursive analysis

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2147881
https://doi.org/10.1017/s0960129504004372
https://digitalcommons.lsu.edu/mathematics_pubs/623/
https://dblp.uni-trier.de/db/journals/mscs/mscs14.html#Lawson04
http://dblp.uni-trier.de/db/journals/mscs/mscs14.html#Lawson04
https://dialnet.unirioja.es/servlet/articulo?codigo=1053897
http://journals.cambridge.org/abstract_S0960129504004372
https://www.cambridge.org/core/journals/mathematical-structures-in-computer-science/article/domains-integration-and-positive-analysis/973D2767FC698A51EFD5A6C4C27403AA

Riemann and Edalat integration on domains: Riemann and Edalat integration on domains.

Autoři: Jimmie Lawson Bin Lu

Zdroj: Theoretical Computer Science. 305:259-275

Témata: domain theory, Continuous domain, Theory of computing, 0102 computer and information sciences, Integrals of Riemann, Stieltjes and Lebesgue type, Algebra of sets, 01 natural sciences, Valuation, Theoretical Computer Science, Riemann integral, Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures, continuous domain, Finitely additive measure, algebra of sets, Contents, measures, outer measures, capacities, 0101 mathematics, Integration with respect to measures and other set functions, valuation, finitely additive measure, Computer Science(all)

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2055976
https://doi.org/10.1016/s0304-3975(02)00696-5
https://dblp.uni-trier.de/db/journals/tcs/tcs305.html#LawsonL03
https://www.sciencedirect.com/science/article/pii/S0304397502006965
https://digitalcommons.lsu.edu/mathematics_pubs/624/
http://www.sciencedirect.com/science/article/pii/S0304397502006965

Representability of Analytic Functions in Terms of Their Boundary Values: Representability of analytic functions in terms of their boundary values

Autoři: Rashid A. Aliev

Zdroj: Mathematical Notes. 73:8-20

Témata: complex Borel measure, Hölder continuity, Lebesgue measure, Cauchy integral, 0103 physical sciences, Integral representations, integral operators, integral equations methods in two dimensions, 0101 mathematics, Poisson integral, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, Integration with respect to measures and other set functions, 01 natural sciences, analytic function

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1928357
https://doi.org/10.1023/a:1022113831759
https://link.springer.com/article/10.1023/A:1022113831759

Integration of real functions with respect to a \(\oplus\)-measure

Autoři: Kolesárová, Anna

Témata: fuzzy measure, Fuzzy measure theory, Lebesgue integral, integration theory, direct sum-measure, Integration with respect to measures and other set functions

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/907926

Toeplitz eigenvalues for Radon measures

Autoři: Eugene E. Tyrtyshnikov N. L. Zamarashkin

Zdroj: Linear Algebra and its Applications. :345-354

Témata: Numerical computation of eigenvalues and eigenvectors of matrices, Numerical Analysis, Eigenvalues, singular values, and eigenvectors, Szegő formulas, Algebra and Number Theory, eigenvalues, Eigenvalues, 01 natural sciences, Fourier coefficients, Fourier series of functions with special properties, special Fourier series, Toeplitz matrices, Singular values, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Discrete Mathematics and Combinatorics, Szegö formulas, Hermitian, skew-Hermitian, and related matrices, Radon measures, asymptotic behavior, Geometry and Topology, 0101 mathematics, Integration with respect to measures and other set functions

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1741668
https://doi.org/10.1016/s0024-3795(01)00345-7
https://doi.org/10.22028/d291-26167
https://publikationen.sulb.uni-saarland.de/handle/20.500.11880/26223
https://www.sciencedirect.com/science/article/pii/S0024379501003457
https://publikationen.sulb.uni-saarland.de/bitstream/20.500.11880/26223/1/preprint_09_00.pdf
https://www.sciencedirect.com/science/article/abs/pii/S0024379501003457
http://scidok.sulb.uni-saarland.de/volltexte/2011/4288/pdf/preprint_09_00.pdf