Bounded variation and Fourier series

zbMath0402.42004MaRDI QIDQ1255655

Daniel Waterman

Publication date: 1978

Published in: Real Analysis Exchange (Search for Journal in Brave)

zbMATH Keywords

Functions of Bounded VariationConvergence of Fourier SeriesDirichlet Kernel

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Conjugate functions, conjugate series, singular integrals (42A50) Functions of bounded variation, generalizations (26A45)

Related Items (5)

Continuity of functions of the classes \(V_{\Phi}\) ⋮ Bernstein and Kantorovich polynomials diminish the \(\Lambda\)-variation ⋮ On some nonlinear operators in \(\Lambda BV\)-spaces ⋮ Separability of the space of continuous functions that are continuous in \(\varLambda \)-variation ⋮ The convergence of partial sums of interpolating polynomials

This page was built for publication: Bounded variation and Fourier series