Approximation by Fourier sums of functions with slowly decreasing Fourier coefficients

DOI10.1007/BF01056650zbMath0623.42002OpenAlexW2008055422MaRDI QIDQ1091557

A. I. Stepanets

Publication date: 1986

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01056650

zbMATH Keywords

Fourier coefficientsasymptotic estimates

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (2)

Simultaneous approximation of functions and their (\(\psi\) ,\(\beta\) )- derivatives by Fourier sums ⋮ Regularly varying rates of decrease for moduli of continuity and Fourier transforms of functions on \({\mathbb{R}}^ d\)

Cites Work

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• Approximation of periodic functions by Fourier sums in the mean

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