\((C, 1)\)-summation of Fourier series over rearranged Vilenkin system

DOI10.3103/S0027132210040029zbMath1304.42009MaRDI QIDQ2513152

I. V. Polyakov

Publication date: 2 February 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) 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) Summability and absolute summability of Fourier and trigonometric series (42A24) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Cites Work

• Unnamed Item
• Rearrangements of series in the Walsh system
• Cesàro summability of the character system of the \(p\)-series field in the Kaczmarz rearrangement
• On Rearrangements of Vilenkin-Fourier Series which Preserve almost Everywhere Convergence
• On (C,1) summability of integrable functions with respect to the Walsh-Kaczmarz system

This page was built for publication: \((C, 1)\)-summation of Fourier series over rearranged Vilenkin system