Approximation by Cesàro means of negative order of double Walsh-Kaczmarz-Fourier series

DOI10.2748/tmj/1347369366zbMath1256.42042OpenAlexW2023324970MaRDI QIDQ1762343

Károly Nagy

Publication date: 23 November 2012

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmj/1347369366

zbMATH Keywords

rate of convergenceapproximationCesàro meansWalsh-Kaczmarz systemWalsh groupdouble Walsh-Kaczmarz-Fourier series

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximation by other special function classes (41A30)

Related Items (5)

On the convergence of Fejér means of Walsh-Fourier series in the space \(H_p\) ⋮ Martingale Hardy spaces and some new weighted maximal operators of Fejér means of Walsh-Fourier series ⋮ Approximation by Walsh-Marcinkiewicz means on the Hardy space \(H_{2/3}\) ⋮ Approximation of the quadratic partial sums of double Walsh-Kaczmarz-Fourier series by Nörlund means ⋮ Some inequalities related to strong convergence of Riesz logarithmic means

Cites Work

• Summation of multiple Fourier series in multiplicative systems
• On Fourier series with respect to the Walsh-Kaczmarz system
• Pointwise convergence of expansions with respect to certain product systems
• On the approximation properties of Cesàro means of negative order of Walsh-Fourier series
• (\(C,\alpha\)) summability of Walsh--Kaczmarz--Fourier series
• Uniform convergence of Cesàro means of negative order of double trigonometric Fourier series
• On (C,1) summability of integrable functions with respect to the Walsh-Kaczmarz system
• Approximation properties of (C, α) means of double walsh-Fourier series
• On the A.E. Convergence of Walsh-Kaczmarz-Fourier Series
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