Degree of approximation of a function by Nörlund means of its Fourier series

DOI10.1017/S0004972700007279zbMath0474.42004OpenAlexW2081410614MaRDI QIDQ3930166

R. B. Saxena

Publication date: 1981

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700007279

zbMATH Keywords

degree of approximationfractional integralconjugate Fourier series

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Rate of convergence, degree of approximation (41A25) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Approximation by other special function classes (41A30) Conjugate functions, conjugate series, singular integrals (42A50)

Cites Work

• Extension of the notion of the limit of the sum of terms of an infinite series
• Absolute Nörlund summability
• ON THE DEGREE OF APPROXIMATION TO A FUNCTION BY THE CESARO MEANS OF ITS FOURIER SERIES
• SOME EXTENSIONS OF YOUNG'S CRITERION FOR THE CONVERGENCE OF A FOTJRIER SERIES