Fourier coefficients of continuous functions

DOI10.1134/S0001434612050057zbMath1301.42048OpenAlexW2091383207MaRDI QIDQ2435815

Vakhtang Tsagareishvili, L. D. Gogoladze

Publication date: 20 February 2014

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

Full work available at URL: https://doi.org/10.1134/s0001434612050057

zbMATH Keywords

modulus of continuityHaar systemFourier coefficientscontinuous functionHölder's inequalityorthonormal systemAbel transform

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)

Related Items (13)

Absolute convergence factors of Lipschitz class functions for general Fourier series ⋮ Some properties of general Fourier coefficients of Lipschitz functions ⋮ Some properties of general orthonormal systems ⋮ Lipschitz class functions and their general Fourier coefficients ⋮ Differentiable functions and their Fourier coefficients ⋮ Smooth functions and general Fourier coefficients ⋮ Optimal convergence factors for general Fourier coefficients ⋮ The variation of general Fourier coefficients ⋮ General orthonormal systems and absolute convergence ⋮ Some particular properties of general orthonormal systems ⋮ General Fourier coefficients and convergence almost everywhere ⋮ Properties of general Fourier coefficients of differentiable functions ⋮ The variation of general Fourier coefficients of Lipschitz class functions

Cites Work

• On the Walsh Functions
• Unnamed Item
• Unnamed Item

This page was built for publication: Fourier coefficients of continuous functions