Convergence theorems for the Henstock-Kurzweil-Pettis integral

DOI10.1023/A:1013756111769zbMath1001.26003OpenAlexW1875528381MaRDI QIDQ700343

D. Kharzeev

Publication date: 20 October 2002

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1013756111769

zbMATH Keywords

convergence theoremsHenstock-Kurzweil-Pettis integralDenjoy-Pettis integral

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Denjoy and Perron integrals, other special integrals (26A39) Absolutely continuous real functions in one variable (26A46)

Related Items (11)

Radon-Nikodym derivatives of finitely additive interval measures taking values in a Banach space with basis ⋮ Controlled convergence theorems for Henstock-Kurzweil-Pettis integral on m-dimensional compact intervals ⋮ Weak solutions nonlinear fractional integrodifferential equations in nonreflexive Banach spaces ⋮ Nonlinear integrodifferential equations of mixed type in Banach spaces ⋮ Henstock-Kurzweil-Pettis integrability of compact valued multifunctions with values in an arbitrary Banach space ⋮ On solutions of differential equations in Banach spaces ⋮ On the existence of generalized weak solutions to discontinuous fuzzy differential equations ⋮ The set of solutions of Volterra and Urysohn integral equations in Banach spaces ⋮ THE SET OF SOLUTIONS OF INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES ⋮ On the existence of weak solutions of nonlinear integral equations in Banach spaces ⋮ The Henstock-Kurzweil-Pettis Integrals and Existence Theorems for the Cauchy Problem

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