Suchergebnisse - "Abstract differentiation theory, differentiation of set functions"

Differentiation of measures on an arbitrary measurable space

Autoren: Oleksii Mostovyi Pietro Siorpaes

Quelle: Journal of Mathematical Analysis and Applications. 528:127438

Schlagwörter: Abstract differentiation theory, differentiation of set functions, net, conditional Jensen inequality, convergence, measure, closed martingale, Radon-Nikodym derivative

Dateibeschreibung: application/xml

On the Strong Differentiation of Multiple Integrals along Different Frames: On the strong differentiation of multiple integrals along different frames. II.

Autoren: Giorgi Oniani

Quelle: gmj. 12:349-368

Schlagwörter: differentiation basis, Abstract differentiation theory, differentiation of set functions, basis, strong differentiation, measurable functions, strong differentiability, Continuity and differentiation questions, rectangular frames, 0101 mathematics, integrals, 01 natural sciences, diffentiation basis

Dateibeschreibung: application/xml

Zugangs-URL: http://www.heldermann-verlag.de/gmj/gmj12/gmj12033.pdf
https://zbmath.org/1900153
https://zbmath.org/2014429
https://zbmath.org/2015792
http://www.heldermann-verlag.de/gmj/gmj12/gmj12033.pdf
http://www.degruyter.com/downloadpdf/j/gmj.2005.12.issue-2/gmj.2005.349/gmj.2005.349.xml

A characterization of parallelepipeds related to weak derivatives

Autoren: H. Weisshaupt

Quelle: Acta Mathematica Hungarica. 107:319-328

Schlagwörter: Abstract differentiation theory, differentiation of set functions, parallelepipeds, characterization, weak derivatives, convex bodies, 0101 mathematics, Convex sets in \(n\) dimensions (including convex hypersurfaces), Set-valued functions, 01 natural sciences, Length, area, volume and convex sets (aspects of convex geometry), convex-valued functions

Dateibeschreibung: application/xml

Zugangs-URL: http://alexandria.tue.nl/repository/books/567776.pdf
https://link.springer.com/article/10.1007/s10474-005-0199-6
http://www.eurandom.nl/reports/2003/013-abstract.pdf
https://www.eurandom.tue.nl/reports/2003/013-report.pdf
https://link.springer.com/content/pdf/10.1007/s10474-005-0199-6.pdf
https://pure.tue.nl/ws/files/3199088/567776.pdf

An Alexsandrov type theorem fork-convex functions: An Alexandrov type theorem for \(k\)-convex functions

Autoren: Chaudhuri, Nirmalendu Trudinger, Neil

Quelle: Bulletin of the Australian Mathematical Society. 71:305-314

Schlagwörter: functions, generalized convexity, 4. Education, convex, Nonsmooth analysis, Continuity and differentiation questions, type, Science and Technology Studies, 01 natural sciences, Operations with distributions and generalized functions, Abstract differentiation theory, differentiation of set functions, Engineering, theorem, twice differentiability, alexsandrov, Alexandrov theorem, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, Convexity of real functions of several variables, generalizations

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/393868A2D0C0AA71CEBF652C4D420FF6/S0004972700038260a.pdf/div-class-title-an-alexsandrov-type-theorem-for-span-class-italic-k-span-convex-functions-div.pdf
https://openresearch-repository.anu.edu.au/handle/1885/79857
https://digitalcollections.anu.edu.au/handle/1885/79857
http://www.journals.cambridge.org/abstract_S0004972700038260
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/393868A2D0C0AA71CEBF652C4D420FF6/S0004972700038260a.pdf/div-class-title-an-alexsandrov-type-theorem-for-span-class-italic-k-span-convex-functions-div.pdf
https://ro.uow.edu.au/eispapers/2479/
https://ro.uow.edu.au/cgi/viewcontent.cgi?article=3488&context=eispapers

HESSIAN MEASURES OF CONVEX FUNCTIONS AND APPLICATIONS TO AREA MEASURES: Hessian measures of convex functions and applications to area measures

Autoren: COLESANTI, ANDREA D. HUG

Quelle: Journal of the London Mathematical Society. 71:221-235

Schlagwörter: Length, area, volume, other geometric measure theory, Abstract differentiation theory, differentiation of set functions, convex function, convex functions, \(j\)-extreme point, Convex functions and convex programs in convex geometry, Hausdorff and packing measures, Hessian measure, 0101 mathematics, Convex sets in \(n\) dimensions (including convex hypersurfaces), Radon-Nikodym derivative, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: http://journals.cambridge.org/production/action/cjoGetFulltext?fulltextid=280427
https://documat.unirioja.es/servlet/articulo?codigo=2206367
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610704005915
https://dialnet.unirioja.es/servlet/articulo?codigo=2206367
https://academic.oup.com/jlms/article/71/1/221/932659
https://www.uni-due.de/~hm0045/Pub.collection/33.pdf
https://hdl.handle.net/2158/251065

Probability Gradient Estimation by Set-Valued Calculus and Applications in Network Design: Probability gradient estimation by set-valued calculus and applications in network design

Autoren: Heinz Weisshaupt Georg Ch. Pflug

Quelle: SIAM Journal on Optimization. 15:898-914

Schlagwörter: Abstract differentiation theory, differentiation of set functions, sensitivity analysis, set-valued optimization, Sensitivity, stability, parametric optimization, 0211 other engineering and technologies, Stochastic programming, Monte Carlo methods, 02 engineering and technology, derivative estimation, Monte Carlo simulation, Set-valued and variational analysis, \(n\)-dimensional polytopes

Dateibeschreibung: application/xml

Zugangs-URL: http://www.weiszhaupt.at/publications/netzopt72.pdf
https://epubs.siam.org/doi/abs/10.1137/S1052623403431639
https://homepage.univie.ac.at/georg.pflug/science/technicalreports/netzopt72.pdf
https://dblp.uni-trier.de/db/journals/siamjo/siamjo15.html#PflugW05
https://dl.acm.org/doi/10.1137/S1052623403431639

On Possible Values of Upper and Lower Derivatives with Respect to Convex Differential Bases: On the possible values of upper and lower derivatives with respect to convex differential bases.

Autoren: G. G. Oniani

Quelle: Mathematical Notes. 76:711-722

Schlagwörter: Abstract differentiation theory, differentiation of set functions, Maximal functions, Littlewood-Paley theory, Continuity and differentiation questions, differentiation of integrals, 0101 mathematics, 01 natural sciences, Besicovitch basis

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2177683
https://doi.org/10.1023/b:matn.0000049670.36842.71
https://link.springer.com/article/10.1023/B:MATN.0000049670.36842.71
https://link.springer.com/content/pdf/10.1023/B:MATN.0000049670.36842.71.pdf

The Stepanov differentiability theorem in metric measure spaces

Autoren: Balogh, Zoltán Rogovin, Kevin Zürcher, Thomas

Quelle: Balogh, Zoltán M.; Rogovin, Kevin; Zürcher, Thomas (2004). The Stepanov differentiability theorem in metric measure spaces. Journal of geometric analysis, 14(3), pp. 405-422. Springer-Verlag 10.1007/BF02922098 <http://dx.doi.org/10.1007/BF02922098>

Schlagwörter: Abstract differentiation theory, differentiation of set functions, Length, area, volume, other geometric measure theory, 510 Mathematics, Sobolev function, Poincaré inequality, metric space, Continuity and differentiation questions, 0101 mathematics, 01 natural sciences, differentiability

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: http://doc.rero.ch/record/315166/files/12220_2008_Article_BF02922098.pdf
https://link.springer.com/article/10.1007/BF02922098
https://boris.unibe.ch/118056/
https://boris.unibe.ch/118056/

Absolute continuity results for superdiffusions with applications to differential equations

Autoren: E. B. Dynkin

Quelle: Comptes Rendus. Mathématique. 338:605-610

Schlagwörter: Abstract differentiation theory, differentiation of set functions, Branching processes (Galton-Watson, birth-and-death, etc.), Nonlinear elliptic equations, 0101 mathematics, Classical measure theory, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/abs/pii/S1631073X04000652
https://www.sciencedirect.com/science/article/pii/S1631073X04000652

On the measure of non‐compactness of maximal operators: On the measure of non-compactness of maximal operators.

Autoren: Georgi G. Oniani

Quelle: Journal of Function Spaces and Applications, Vol 2, Iss 2, Pp 217-225 (2004)

Schlagwörter: Abstract differentiation theory, differentiation of set functions, measurable basis, symmetric space, QA1-939, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc, 0101 mathematics, maximal operator, 01 natural sciences, Mathematics, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Dateibeschreibung: application/xml

Zugangs-URL: https://doaj.org/article/ee8d9e8c5e3a4ffbbbdff05de99690d9
https://downloads.hindawi.com/journals/jfs/2004/786419.pdf
https://www.hindawi.com/journals/jfs/2004/786419/
https://core.ac.uk/display/43863924
http://downloads.hindawi.com/journals/jfs/2004/786419.pdf

Vitali Lemma approach to differentiation on a time scale: Vitali lemma approach to differentiation on a time scale

Autoren: Chuan Jen Chyan Andrzej Fryszkowski

Quelle: Studia Mathematica. 162:161-173

Schlagwörter: Abstract differentiation theory, differentiation of set functions, Vitali lemma, time scale, Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems, increasing function, differentiation, 0101 mathematics, General theory of difference equations, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.impan.pl/shop/publication/transaction/download/product/90228?download.pdf
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm162-2-4
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/162/2/90228/vitali-lemma-approach-to-differentiation-on-a-time-scale
http://journals.impan.pl/cgi-bin/doi?sm162-2-4
https://www.impan.pl/en/publishing-house/journals-and-series/studia-mathematica/all/162/2/90228/vitali-lemma-approach-to-differentiation-on-a-time-scale

Luzin’s theorem for charges: Luzin's theorem for charges

Autoren: Washek F. Pfeffer Eric J. Howard

Quelle: Proceedings of the American Mathematical Society. 132:857-863

Schlagwörter: Abstract differentiation theory, differentiation of set functions, BV sets, Functions of bounded variation, generalizations, derivatives, charges, Contents, measures, outer measures, capacities, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.ams.org/proc/2004-132-03/S0002-9939-03-07276-9/S0002-9939-03-07276-9.pdf
https://www.ams.org/proc/2004-132-03/S0002-9939-03-07276-9/S0002-9939-03-07276-9.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=810963
https://www.jstor.org/stable/1194708
https://www.ams.org/journals/proc/2004-132-03/S0002-9939-03-07276-9/home.html

On a criterion of Riemannian distance for singularity and absolute continuity of probability measures: On a criterion of Riemannian distance for singularity and absolute continuity of probability measures.

Autoren: Kee-Won Lee Yoon Tae Kim

Quelle: Statistics & Probability Letters. 63:185-195

Schlagwörter: Abstract differentiation theory, differentiation of set functions, Riemannian distance, Exponential map, Geodesic, Diffusion processes and stochastic analysis on manifolds, Singularity, Riemannian metric, Spaces of measures, convergence of measures, Convergence of probability measures, Absolute continuity, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2041656
https://doi.org/10.1016/s0167-7152(03)00082-8
https://EconPapers.repec.org/RePEc:eee:stapro:v:63:y:2003:i:2:p:185-195
https://www.sciencedirect.com/science/article/pii/S0167715203000828
https://ideas.repec.org/a/eee/stapro/v63y2003i2p185-195.html

On the $\sigma $-finiteness of a variational measure: On the \(\sigma \)-finiteness of a variational measure

Autoren: Diana Caponetti

Quelle: Mathematica Bohemica. 128:137-146

Schlagwörter: Abstract differentiation theory, differentiation of set functions, \(H\)-differentiability, Functions of bounded variation, generalizations, Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems, variational measure, Denjoy and Perron integrals, other special integrals, \(H\)-density

Dateibeschreibung: application/xml

Zugangs-URL: http://dml.cz/bitstream/handle/10338.dmlcz/134037/MathBohem_128-2003-2_3.pdf
https://eudml.org/doc/249229

Rectangular differentiation of integrals of Besov functions: Rectangular differentiation of integrals of Besov functions.

Autoren: Aimar, Hugo Alejandro Forzani, Liliana Maria Naibo, Virginia

Quelle: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas

Schlagwörter: Abstract differentiation theory, differentiation of set functions, differentiation basis, Maximal functions, Littlewood-Paley theory, Besov spaces, differentation, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, Function spaces arising in harmonic analysis, Besov space, maximal functions

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: http://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2002/0009/0002/MRL-2002-0009-0002-a004.pdf
https://zbmath.org/1804046
https://doi.org/10.4310/mrl.2002.v9.n2.a4
https://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0009/0002/a004/
https://documat.unirioja.es/servlet/articulo?codigo=678678
https://dialnet.unirioja.es/servlet/articulo?codigo=678678
https://ri.conicet.gov.ar/handle/11336/100591
https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2002/0009/0002/MRL-2002-0009-0002-a004.pdf
https://notablesdelaciencia.conicet.gov.ar/handle/11336/100591
http://hdl.handle.net/11336/100591

A Measure-Valued Approach to Convex Set-Valued Dynamics: A measure-valued approach to convex set-valued dynamics

Autoren: H. Weisshaupt

Quelle: Set-Valued Analysis. 9:337-373

Schlagwörter: Abstract differentiation theory, differentiation of set functions, Differential equations in abstract spaces, convex-valued dynamics, differentiable multifunction, dynamical systems, 0101 mathematics, Mixed volumes and related topics in convex geometry, Nonparametric hypothesis testing, 01 natural sciences, Set-valued maps in general topology, constraint optimization

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1023/A:1012699213888
http://www.weiszhaupt.at/publications/SVAN_convex-dynamics.pdf

a measure valued approach to convex set valued dynamics: A measure-valued approach to convex set-valued dynamics

Autoren: H. Weisshaupt

Quelle: Set-valued Analysis. 9(4):337-373

Schlagwörter: Abstract differentiation theory, differentiation of set functions, Differential equations in abstract spaces, convex-valued dynamics, differentiable multifunction, dynamical systems, Mixed volumes and related topics in convex geometry, Nonparametric hypothesis testing, Set-valued maps in general topology, constraint optimization

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1023/A:1012699213888
http://www.weiszhaupt.at/publications/SVAN_convex-dynamics.pdf

Second Order Hadamard Differentiability in Statistical Applications: Second order Hadamard differentiability in statistical applications.

Autoren: Pranab Kumar Sen Jian-Jian Ren

Quelle: Journal of Multivariate Analysis. 77:187-228

Schlagwörter: Statistics and Probability, Cramér-von Mises statistic, Numerical Analysis, Cramér–von Mises statistic, Linear regression, mixed models, statistical functionals, Asymptotic distribution theory in statistics, Hadamard differentiability, \(M\)-estimator, M-estimator, 01 natural sciences, Abstract differentiation theory, differentiation of set functions, uniform asymptotic linearity, goodness of fit test, weighted empirical processes, linear models, Statistics, Probability and Uncertainty, 0101 mathematics, Nonparametric hypothesis testing, limiting distribution

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1647696
https://doi.org/10.1006/jmva.2000.1926
https://core.ac.uk/display/82115101
http://www2.math.umd.edu/~jjren/PDFS/JMVA01.pdf
https://cdr.lib.unc.edu/concern/articles/cj82kh83c
https://www.math.umd.edu/~jjren/PDFS/JMVA01.pdf
https://ideas.repec.org/a/eee/jmvana/v77y2001i2p187-228.html
https://dl.acm.org/doi/10.1006/jmva.2000.1926

A Generalization of the Lagrange Mean Value Theorem to the Case of Vector-Valued Mappings: A~generalization of the Lagrange mean value theorem to the case of vector-valued mappings

Autoren: M. V. Korobkov

Quelle: Siberian Mathematical Journal. 42:297-300

Schlagwörter: Abstract differentiation theory, differentiation of set functions, Lagrange mean value theorem, Darboux theorem, Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems, vector-valued mapping, 0102 computer and information sciences, 0101 mathematics, Set-valued functions, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1023/A:1004889013835
https://eudml.org/doc/121311
https://link.springer.com/content/pdf/10.1023/A:1004889013835.pdf

Distinguishing Between Symmetric Spaces and L ∞ by a Differential Basis: Distinguishing between symmetric spaces and \(L^\infty\) by a differential basis

Autoren: A. A. Perfil'ev E. I. Berezhnoi

Quelle: Mathematical Notes. 69:467-474

Schlagwörter: Abstract differentiation theory, differentiation of set functions, symmetric space, fundamental function, Lorentz space, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences, differential basis, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1023/A%3A1010204113120
https://link.springer.com/content/pdf/10.1023/A:1010204113120.pdf