Matrix summability of Fourier series based on inclusion theorems

DOI10.1017/S0305004100066287zbMath0633.40009OpenAlexW2138997243MaRDI QIDQ3770962

Billy E. Rhoades

Publication date: 1986

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100066287

zbMATH Keywords

Nörlund matrixNörlund summability of Fourier series

Mathematics Subject Classification ID

Inclusion and equivalence theorems in summability theory (40D25) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (2)

Matrix summability of Fourier series based on inclusion theorems. II ⋮ An inclusion relation between Cesàro and Nörlund matrices for absolute summability

Cites Work

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• Absolute total-effective triangular matrix method
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• Studies in the summability of Fourier series by Nörlund means
• Summability (𝐿) of Fourier series
• Necessary and Sufficient Conditions for Absolute Nörlund Summability of Fourier Series
• Absolute Total-Effectiveness of a Total Effective (N, p n ) Method
• On the Summability of Fourier Series. I
• Summability of a Sequence of Fourier Coefficients by a Triangular Matrix Transformation
• Products of Nörlund transformations
• On a Theorem of O. Szàsz
• Nörlund summability of Fourier series and its conjugate series

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