Functions of generalized variation

DOI10.4064/fm-105-3-199-211zbMath0441.26007OpenAlexW1481168335MaRDI QIDQ3882667

S. J. Perlman

Publication date: 1980

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/211073

zbMATH Keywords

lambda-bounded variation

Mathematics Subject Classification ID

Functions of bounded variation, generalizations (26A45)

Related Items (17)

Rate of convergence of double Fourier series of functions of generalized bounded variation ⋮ Selection theorems, based on generalized variation and oscillation ⋮ Two-sided estimates of the \(K\)-functional for spaces of functions of generalized bounded variation ⋮ Bernstein and Kantorovich polynomials diminish the \(\Lambda\)-variation ⋮ Absolute convergence of multiple Fourier series of functions of \(\phi \left( \Lambda ^1,\dots,\Lambda ^N\right) \)-bounded variation ⋮ The approximate variation of univariate uniform space valued functions and pointwise selection principles ⋮ λ‐Variation and Hausdorff Distance ⋮ On some nonlinear operators in \(\Lambda BV\)-spaces ⋮ Separability of the space of continuous functions that are continuous in \(\varLambda \)-variation ⋮ A note on differential and integral equations in the spaces of functions of \(\Lambda \)-bounded variation ⋮ Unnamed Item ⋮ On bounded lower \(\Lambda\)-variation ⋮ Strong boundedness, strong convergence and generalized variation ⋮ On integral operators and nonlinear integral equations in the spaces of functions of bounded variation ⋮ \(\Lambda\)-absolute continuity ⋮ The Banach spaces \(\varLambda BV\) are non-reflexive ⋮ The Structure of Regulated Functions

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