Variations and variational measures in integration theory and some applications
type: Item
instance of: scholarly article
title: Variations and variational measures in integration theory and some applications
zbMATH Open document ID: 0959.26006
DOI: 10.1007/BF02433805
published in: Journal of Mathematical Sciences (New York)
publication date: 1998-12-21T00:00:00Z
Mathematics Subject Classification ID: 26A39
Mathematics Subject Classification ID: 26A45
zbMATH DE Number: 1231426
zbMATH Keywords: Kurzweil-Henstock integral
zbMATH Keywords: variational measure
zbMATH Keywords: integration theory
zbMATH Keywords: variational equivalence
zbMATH Keywords: generalized Riemann integral
zbMATH Keywords: Denjoy-Perron integral
zbMATH Keywords: nonabsolutely convergent integrals
zbMATH Keywords: generalized integrals
author: Valentin Skvortsov
MaRDI profile type: Publication
cites work: Generalized Fourier integrals and series
cites work: Q3271917
cites work: Q5521628
cites work: Q5557131
cites work: Q5541481
cites work: Q5574796
cites work: Q5574797
cites work: Q5574766
cites work: Q5676436
cites work: Q4112397
cites work: On the Marcinkiewicz theorem for the binary Perron integral
cites work: Variational measure and sufficient differentiability condition of additive interval function
cites work: Q5662624
cites work: Q4769434
cites work: ON SOME MULTIPLE FUNCTION SERIES AND THE SOLUTION OF THE UNIQUENESS PROBLEM FOR PRINGSHEIM CONVERGENCE OF MULTIPLE TRIGONOMETRIC SERIES
cites work: Ordinary differential equations with singularities on the right-hand side
cites work: Uniqueness of rectangularly convergent trigonometric series
cites work: The essential variation of a function and some convergence theorems
cites work: A new full descriptive characterization of Denjoy-Perron integral
cites work: On continuous major and minor functions for the \(n\)-dimensional Perron integral
cites work: A Full Descriptive Definition of the Gage Integral
cites work: Multipliers for some generalized Riemann integrals in the real line
cites work: A general Riemann complete integral in the plane
cites work: Variations of additive functions
cites work: Non-absolute integrals: A survey
cites work: Q3315720
cites work: Integration by Parts Formulae for Some Trigonometric Integrals
cites work: Some Applications of a Theorem of Marcinkiewicz
cites work: Integrals and Trigonometric Series
cites work: The Henstock integral for Banach-valued functions
cites work: On Kurzweil generalized ordinary differential equations
cites work: On \(x'=f(t,x)\) and Henstock-Kurzweil integrals
cites work: Q4234605
cites work: Q5848416
cites work: The Representation of (C, k) Summable Series in Fourier Form
cites work: Q4014508
cites work: Packing Measure as a Gauge Variation
cites work: The Henstock and McShane integrals of vector-valued functions
cites work: On the integration of vector-valued functions
cites work: A symmetric density property for measurable sets
cites work: Q4692472
cites work: The Denjoy extension of the Bochner, Pettis, and Dunford integrals
cites work: The McShane integral of Banach-valued functions
cites work: Riemann integration in Banach spaces
cites work: A General Convergence Theorem for Non-Absolute Integrals
cites work: Differentiation of integrals in \(\mathbb{R}^n\)
cites work: The Equivalence of Generalized Forms of the Ward, Variational, Denjoy-Stieltjes, and Perron-Stieltjes Integrals
cites work: Definitions of Riemann Type of the Variational Integrals
cites work: Integration in Product Spaces, Including Wiener and Feynman Integration
cites work: Q3999786
cites work: Symmetric primitives and Lusin's condition \({\mathcal N}\)
cites work: A Generalized Integral II
cites work: A non absolutely convergent integral which admits transformation and can be used for integration on manifolds
cites work: On Mawhin's approach to multiple nonabsolutely convergent integral
cites work: Une théorie de Denjoy des martingales dyadiques. (A Denjoy theory of dyadic martingales)
cites work: Generalized ordinary differential equations and continuous dependence on a parameter
cites work: Q3978403
cites work: Uniform Kurzweil-Henstock integrability
cites work: Q4040963
cites work: Q5187482

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cites work: Henstock integration in the plane

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