On the magnitude of Vilenkin-Fourier coefficients
DOI10.1007/s40879-020-00437-6zbMath1466.42022OpenAlexW3106576010MaRDI QIDQ2024108
Maria A. Kuznetsova, Sergey S. Volosivets
Publication date: 3 May 2021
Published in: European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40879-020-00437-6
Hölder spacesgeneralized bounded variationVilenkin-Fourier coefficientsbounded \(\Lambda\)-\(\varphi\)-fluctuationbounded \(p\)-fluctuation spaces
Lipschitz (Hölder) classes (26A16) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Functions of bounded variation, generalizations (26A45)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Differential properties and Fourier coefficients of functions of \(\Lambda\)-bounded variation
- Approximation of functions of bounded \(p\)-fluctuation by polynomials with respect to multiplicative systems
- Asymptotics properties of a compact set of smooth functions in the space of functions of bounded \(p\)-variation
- Uniform convergence of Fourier series on groups. I
- On multiple Walsh-Fourier coefficients of functions of \(\varphi-\Lambda\) -bounded variation
- Some Remarks on Functions of Λ-Bounded Variation
- On the Magnitude of Fourier Coefficients
- On Λ-bounded variation
- On a class of complete orthonormal systems
- The order of Fourier coefficients of function of higher variation
- On the Walsh Functions
This page was built for publication: On the magnitude of Vilenkin-Fourier coefficients