Cosine and sine series with generalized monotone coefficients in Lorentz spaces

DOI10.1007/S10476-017-0508-7zbMath1399.42017OpenAlexW2772208140MaRDI QIDQ682163

Sergey S. Volosivets

Publication date: 13 February 2018

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-017-0508-7

zbMATH Keywords

Lorentz spacegeneral monotone sequence

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (1)

Asymptotics of sums of sine series with fractional monotonicity coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Trigonometric series with general monotone coefficients
• Inequalities of Hardy-Littlewood type
• Integrability theorems for Fourier series
• Some new functional spaces
• Integrability and continuity of functions represented by trigonometric series: coefficients criteria
• Notes on the Theory of Series (XIII): Some New Properties of Fourier Constants
• General monotone sequences and trigonometric series
• Hardy's inequality with weights
• An application of interpolation theory to Fourier series

This page was built for publication: Cosine and sine series with generalized monotone coefficients in Lorentz spaces