On the negative order Cesáro summability of double series with respect to block-orthonormal systems

DOI10.1515/gmj-2022-2180zbMath1506.42038OpenAlexW4286488846MaRDI QIDQ2082124

Givi Nadibaidze

Publication date: 4 October 2022

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

Full work available at URL: https://doi.org/10.1515/gmj-2022-2180

zbMATH Keywords

Weyl multipliers, orthogonal series, block-orthonormal system

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Summability and absolute summability of Fourier and trigonometric series (42A24) Other transformations of harmonic type (42C20)

Cites Work

• On the summability by Cesàro methods of double series with respect to block-orthonormal systems
• On the \((C, -1 < \alpha < 0, -1 < \beta <0)\)-summability of single and double orthogonal series
• On the A. E. Convergence of the Arithmetic Means of Double Orthogonal Series
• On the (C,α≥0,β≥0)-summability of double orthogonal series
• Strong Limit Theorems for Blockwise m-Dependent and Blockwise Quasiorthogonal Sequences of Random Variables
• Notes on Fourier analysis, XXXIX. Convergence and summability of orthogonal series
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