Differentiable functions and their Fourier coefficients

DOI10.1515/gmj-2021-2129zbMath1494.42002OpenAlexW4206231469MaRDI QIDQ2671474

Vakhtang Tsagareishvili

Publication date: 3 June 2022

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

Full work available at URL: https://doi.org/10.1515/gmj-2021-2129

zbMATH Keywords

function of bounded variationFourier coefficientsdifferentiable functiongeneral orthonormal system

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fourier coefficients of continuous functions
• Absolute convergence of Fourier series of functions of class $ \operatorname{Lip}1$ and of functions of bounded variation
• On Fourier coefficients of functions with respect to general orthonormal systems
• Some properties of general orthonormal systems
• General orthonormal systems and absolute convergence

This page was built for publication: Differentiable functions and their Fourier coefficients