Search Results - "Absolutely continuous real functions in one variable"

Lipschitzian superposition operators on metric semigroups and abstract convex cones of mappings of finite Λ-variation: Lipschitzian superposition operators on metric semigroups and abstract convex cones of mappings of finite \(\Lambda\)-variation

Authors: O. M. Solycheva

Source: Siberian Mathematical Journal. 47:537-550

Subject Terms: Nemytskij superposition operator, Banach algebra type property, Absolutely continuous real functions in one variable, Lipschitz condition, 0101 mathematics, Waterman variation, mapping with values in a metric space, Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.), 01 natural sciences

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Access URL: https://zbmath.org/5174710
https://link.springer.com/article/10.1007%2Fs11202-006-0065-y
https://rd.springer.com/article/10.1007/s11202-006-0065-y
https://link.springer.com/content/pdf/10.1007/s11202-006-0065-y.pdf

Effective Jordan Decomposition: Effective Jordan decomposition

Authors: Robert Rettinger Xizhong Zheng

Source: Theory of Computing Systems. 38:189-209

Subject Terms: Functions of bounded variation, generalizations, effective content of Jordan decomposition theorem, 0102 computer and information sciences, Absolutely continuous real functions in one variable, 0101 mathematics, 01 natural sciences, Theory of numerations, effectively presented structures, computable functions, Constructive and recursive analysis, effectively absolutely continuous function

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Access URL: https://zbmath.org/2159487
https://doi.org/10.1007/s00224-004-1193-z
https://dblp.uni-trier.de/db/journals/mst/mst38.html#ZhengR05
http://core.ac.uk/display/24717936
https://link.springer.com/content/pdf/10.1007%2Fs00224-004-1193-z.pdf
https://rd.springer.com/article/10.1007/s00224-004-1193-z
https://link.springer.com/article/10.1007%2Fs00224-004-1193-z

The LrHenstock–Kurzweil integral: The \(L^{r}\) Henstock--Kurzweil integral

Authors: Paul M. Musial Yoram Sagher

Source: Studia Mathematica. 160:53-81

Subject Terms: Dini derivative, gauge, Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems, Perron integral, Denjoy and Perron integrals, other special integrals, doubly subordinate partitions, Absolutely continuous real functions in one variable, 0101 mathematics, Integrals of Riemann, Stieltjes and Lebesgue type, \(L_r\) integral, Henstock-Kurzweil integral, 01 natural sciences, \(L_r\) derivative

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/89918?download.pdf
https://zbmath.org/2092337
https://doi.org/10.4064/sm160-1-3
https://www.impan.pl/en/publishing-house/journals-and-series/studia-mathematica/all/160/1/89918/the-l-r-henstock-8211-kurzweil-integral
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm160-1-3
https://www.impan.pl/shop/publication/transaction/download/product/89918?download.pdf
https://eudml.org/doc/284842

THE GENERALISED INTEGRATION BY PARTS FORMULA FOR APPELL SEQUENCES AND RELATED RESULTS: The generalised integration by parts formula for Appell sequences and related results.

Authors: Dragomir, Sever S

Source: Communications of the Korean Mathematical Society. 19:75-92

Subject Terms: analytic inequalities, 0103 Numerical and Computational Mathematics, 4. Education, Korkine identity, Integrals of Riemann, Stieltjes and Lebesgue type, Appell polynomials, 01 natural sciences, Research Group in Mathematical Inequalities and Applications (RGMIA), 0199 Other Mathematical Sciences Information Systems, ResPubID7483, 0102 Applied Mathematics, 0103 physical sciences, School of Engineering and Science, Inequalities for sums, series and integrals, Absolutely continuous real functions in one variable, 0101 mathematics, integration by parts formula

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Access URL: http://www.ndsl.kr/soc_img/society/kms/DBSHCJ/2004/v19n1/DBSHCJ_2004_v19n1_75.pdf
https://zbmath.org/2237765
https://doi.org/10.4134/ckms.2004.19.1.075
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHCJ_2004_v19n1_75
https://vuir.vu.edu.au/2558/

On the Hardy--Littlewood Theorem for Functions of Bounded Variation: On the Hardy--Littlewood theorem for functions of bounded variation

Authors: Paulo R. Zingano Stanly Steinberg

Source: SIAM Journal on Mathematical Analysis. 33:1199-1210

Subject Terms: absolutely continuous functions, Hardy-Littlewood theorem, essential bounded variation, functions of bounded variation, Functions of bounded variation, generalizations, Absolutely continuous real functions in one variable, 0101 mathematics, positive and negative variations, 01 natural sciences

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Access URL: https://dblp.uni-trier.de/db/journals/siamma/siamma33.html#ZinganoS02
https://locus.siam.org/doi/abs/10.1137/S0036141000369307
https://epubs.siam.org/doi/10.1137/S0036141000369307
https://doi.org/10.1137/S0036141000369307
http://doi.org/10.1137/S0036141000369307

Generalized Variation of Mappings with Applications to Composition Operators and Multifunctions: Generalized variation of mappings with applications to composition operators and multifunctions

Authors: Vyacheslav V. Chistyakov

Source: Positivity. 5:323-358

Subject Terms: Functions of bounded variation, generalizations, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc, Selections in general topology, Absolutely continuous real functions in one variable, 0101 mathematics, Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.), Set-valued operators, 01 natural sciences, multivalued composition operators, Set-valued maps in general topology, mappings of bounded \(\Phi\)-variation

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Access URL: https://link.springer.com/article/10.1023%2FA%3A1011879221347/metrics
https://rd.springer.com/article/10.1023/A%3A1011879221347
https://publications.hse.ru/en/articles/74957409

generalized variation of mappings with applications to composition operators and multifunctions: Generalized variation of mappings with applications to composition operators and multifunctions

Authors: Vyacheslav V. Chistyakov

Source: Positivity. 5(4):323-358

Subject Terms: Functions of bounded variation, generalizations, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc, Selections in general topology, Absolutely continuous real functions in one variable, Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.), Set-valued operators, multivalued composition operators, Set-valued maps in general topology, mappings of bounded \(\Phi\)-variation

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Access URL: https://link.springer.com/article/10.1023%2FA%3A1011879221347/metrics
https://rd.springer.com/article/10.1023/A%3A1011879221347
https://publications.hse.ru/en/articles/74957409

Convergence Theorems for the Henstock—Kurzweil—Pettis Integral: Convergence theorems for the Henstock-Kurzweil-Pettis integral

Authors: Mieczysław Cichoń

Source: Acta Mathematica Hungarica. 92:75-82

Subject Terms: Henstock-Kurzweil-Pettis integral, convergence theorems, Denjoy and Perron integrals, other special integrals, Vector-valued set functions, measures and integrals, Absolutely continuous real functions in one variable, Vector-valued measures and integration, 0101 mathematics, Denjoy-Pettis integral, 01 natural sciences

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Access URL: https://zbmath.org/1817663
https://doi.org/10.1023/a:1013756111769
https://link.springer.com/article/10.1023/A%3A1013756111769

Absolutely Continuous Functions of Rado, Reichelderfer, and Malý: Absolutely continuous functions of Rado, Reichelderfer, and Malý

Authors: Marianna Csörnyei

Source: Journal of Mathematical Analysis and Applications. 252:147-166

Subject Terms: absolutely continuous functions, Applied Mathematics, Functions of bounded variation, generalizations, bounded variation, BV functions, area formula, Absolutely continuous real functions in one variable, 0101 mathematics, 01 natural sciences, Analysis, differentiability almost everywhere

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Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0022247X00969622
https://core.ac.uk/display/81184831

Existence results for refinement equations

Authors: A. Deliu M. C. Spruill

Source: Aequationes Mathematicae. 59:20-37

Subject Terms: dilation equation, characteristic function, Functional equations for real functions, refinement equations, Nontrigonometric harmonic analysis involving wavelets and other special systems, Singular functions, Cantor functions, functions with other special properties, functional equation, Absolutely continuous real functions in one variable, cumulative distribution function, 0101 mathematics, integrable solution, 01 natural sciences

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Access URL: https://link.springer.com/content/pdf/10.1007/PL00000125.pdf
https://link.springer.com/article/10.1007/PL00000125

Sets of range uniqueness for classes of continuous functions

Authors: Krzysztof Ciesielski Maxim R. Burke

Source: Proceedings of the American Mathematical Society. 127:3295-3304

Subject Terms: Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable, separable Baire topological space, set of preimage uniqueness, Axiomatics of classical set theory and its fragments, 01 natural sciences, continuous functions, perfect Polish space, set of range uniqueness, absolutely continuous functions, Entire functions of one complex variable (general theory), Real-valued functions in general topology, differentiable functions, Absolutely continuous real functions in one variable, 0101 mathematics

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Access URL: https://www.ams.org/proc/1999-127-11/S0002-9939-99-04905-9/S0002-9939-99-04905-9.pdf
https://zbmath.org/1329291
https://doi.org/10.1090/s0002-9939-99-04905-9
https://dialnet.unirioja.es/servlet/articulo?codigo=477489
https://www.math.wvu.edu/~kcies/Other/ElectronicReprints/60.pdf
https://www.ams.org/proc/1999-127-11/S0002-9939-99-04905-9/S0002-9939-99-04905-9.pdf
https://www.ams.org/journals/proc/1999-127-11/S0002-9939-99-04905-9/home.html

Generalizations of Some Reverse Integral Inequalities: Generalizations of some reverse integral inequalities

Authors: Dah-Yan Hwang Gou-Sheng Yang

Source: Journal of Mathematical Analysis and Applications. 233:193-204

Subject Terms: reverse mean integral inequality, Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable, inequalities for integrals, positive, monotonic, continuous, absolutely continuous functions, Applied Mathematics, Hardy's inequality, Inequalities for sums, series and integrals, Absolutely continuous real functions in one variable, 0101 mathematics, 01 natural sciences, Monotonic functions, generalizations, Analysis

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Access URL: https://zbmath.org/1289955
https://doi.org/10.1006/jmaa.1999.6280
https://core.ac.uk/display/81963753
https://www.sciencedirect.com/science/article/abs/pii/S0022247X99962807
https://www.sciencedirect.com/science/article/pii/S0022247X99962807

Absolutely Continuous Functions of Several Variables: Absolutely continuous functions of several variables

Authors: Jan Malý

Source: Journal of Mathematical Analysis and Applications. 231:492-508

Subject Terms: Applied Mathematics, absolute continuity, monotone mappings, Absolutely continuous real functions in one variable, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, 01 natural sciences, Analysis, Absolutely continuous real functions of several variables, functions of bounded variation, differentiability

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Access URL: https://zbmath.org/1274903
https://doi.org/10.1006/jmaa.1998.6246
https://core.ac.uk/display/81964460
https://www.sciencedirect.com/science/article/pii/S0022247X98962461
https://www.sciencedirect.com/science/article/abs/pii/S0022247X98962461

The equivalence of some Bernoulli convolutions to Lebesgue measure

Authors: Károly Simon R. Mauldin

Source: Proceedings of the American Mathematical Society. 126:2733-2736

Subject Terms: absolutely continuous measure, independent random variables, distributions, 01 natural sciences, Fractals, singular measure, Hausdorff and packing measures, Probability distributions: general theory, Singular functions, Cantor functions, functions with other special properties, Contents, measures, outer measures, capacities, Absolutely continuous real functions in one variable, Bernoulli convolutions, 0101 mathematics, equivalent measures

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Access URL: https://www.ams.org/proc/1998-126-09/S0002-9939-98-04460-8/S0002-9939-98-04460-8.pdf
https://www.ams.org/proc/1998-126-09/S0002-9939-98-04460-8/S0002-9939-98-04460-8.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=459050
https://www.ams.org/journals/proc/1998-126-09/S0002-9939-98-04460-8/home.html

Self-similar measures and intersections of Cantor sets

Authors: Boris Solomyak Yuval Peres

Source: Transactions of the American Mathematical Society. 350:4065-4087

Subject Terms: transversality condition, self-similar measures, strong separation condition, Cantor sets, Radon-Nikodým derivative, Hausdorff dimension, 01 natural sciences, Fractals, singular measure, Hausdorff and packing measures, absolute continuity, Probability distributions: general theory, Singular functions, Cantor functions, functions with other special properties, Absolutely continuous real functions in one variable, Contents, measures, outer measures, capacities, Bernoulli convolutions, 0101 mathematics, Bernoulli product measure

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Access URL: https://www.ams.org/tran/1998-350-10/S0002-9947-98-02292-2/S0002-9947-98-02292-2.pdf
https://zbmath.org/1198557
https://doi.org/10.1090/s0002-9947-98-02292-2
https://www.ams.org/journals/tran/1998-350-10/S0002-9947-98-02292-2/
https://dialnet.unirioja.es/servlet/articulo?codigo=458556
https://www.jstor.org/stable/117688
https://www.ams.org/tran/1998-350-10/S0002-9947-98-02292-2/S0002-9947-98-02292-2.pdf
https://documat.unirioja.es/servlet/articulo?codigo=458556

Integral Inequalities for Monotone Functions: Integral inequalities for monotone functions

Authors: Ivan Perić Lars-Erik Persson Josip Pečarić

Source: Journal of Mathematical Analysis and Applications. 215:235-251

Subject Terms: monotone functions, Monotone functions, reverse Holder's inequalities, multidimensional monotone functions, embedding of Lorentz spaces, one variable, Applied Mathematics, Bergh's inequality, Inequalities for sums, series and integrals, integral inequalities, Absolutely continuous real functions in one variable, 0101 mathematics, 01 natural sciences, Analysis, several variables

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Access URL: https://www.bib.irb.hr/377131
https://zbmath.org/1115450
https://doi.org/10.1006/jmaa.1997.5646
http://www.diva-portal.org/smash/record.jsf?pid=diva2:975770
https://core.ac.uk/display/82780454
https://www.sciencedirect.com/science/article/pii/S0022247X97956468

On the L1-convergence of Fourier transforms: On the \(L^ 1\)-convergence of Fourier transforms

Authors: Dᾰng Vũ Giang Ferenc Móricz

Source: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics. 60:405-420

Subject Terms: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, \(L^ 1\)-convergence, Tauberian conditions of Hardy-Karamata kind, cosine and sine Fourier transforms, absolute continuity, Absolutely continuous real functions in one variable, inversion formulas, 0101 mathematics, Sidon type inequalities, Cesàro means, 01 natural sciences, complex Fourier transform, partial integrals

File Description: application/xml

Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/BC8D79587B0DB197EF6B639B1314B795/S1446788700037903a.pdf/div-class-title-on-the-span-class-italic-l-span-span-class-sup-1-span-convergence-of-fourier-transforms-div.pdf
https://zbmath.org/927241
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S1446788700037903
http://journals.cambridge.org/article_S1446788700037903

A generalized integral with applications to trigonometric series

Authors: Mukhopadhyay, S. N. Mukhopadhyay, S. K.

Source: Analysis Mathematica. 22:125-146

Subject Terms: Denjoy integral, Fourier coefficients, Fourier series of functions with special properties, special Fourier series, trigonometric series, approximate derivatives, Denjoy and Perron integrals, other special integrals, Absolutely continuous real functions in one variable, generalized absolute continuity, 0101 mathematics, Fourier series, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/content/pdf/10.1007/BF01904969.pdf
https://akjournals.com/view/journals/10476/22/2/article-p125.xml
https://link.springer.com/article/10.1007/BF01904969

Idempotents in quotients and restrictions of Banach algebras of functions

Authors: Thomas Vils Pedersen

Source: Annales de l’institut Fourier. 46:1095-1124

Subject Terms: Fourier coefficients, Fourier series of functions with special properties, special Fourier series, Banach algebras of continuous functions, function algebras, Lipschitz (Hölder) classes, Functions of bounded variation, generalizations, idempotents, Absolutely continuous real functions in one variable, Banach algebras of functions, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: http://archive.numdam.org/article/AIF_1996__46_4_1095_0.pdf
https://zbmath.org/951507
https://doi.org/10.5802/aif.1542
https://aif.centre-mersenne.org/item/10.5802/aif.1542.pdf
http://www.numdam.org/articles/10.5802/aif.1542/
https://aif.centre-mersenne.org/articles/10.5802/aif.1542/
https://eudml.org/doc/75201
http://aif.cedram.org/item?id=AIF_1996__46_4_1095_0

Integrals of Lusin Type A Survey: Integrals of Lusin type -- a survey

Authors: Yôto Kubota

Source: Bulletin of the Faculty of Science, Ibaraki University. Series A, Mathematics. 28:53-72

Subject Terms: Newton integral, Ellis integral, Lebesgue integral, Lee integral, approximately continuous Denjoy integral, special and general Denjoy integrals, trigonometric series, Denjoy and Perron integrals, other special integrals, Integrals of Riemann, Stieltjes and Lebesgue type, 01 natural sciences, Monotonic functions, generalizations, absolutely continuous functions, proximally continuous Denjoy integral, Research exposition (monographs, survey articles) pertaining to real functions, Absolutely continuous real functions in one variable, 0101 mathematics, primitive function, Foran integral, Antidifferentiation

File Description: application/xml

Access URL: https://www.jstage.jst.go.jp/article/bfsiu1968/28/0/28_0_53/_pdf
https://core.ac.uk/display/59182720
http://ci.nii.ac.jp/naid/110000014354