On pointwise approximation of conjugate functions by some hump matrix means of conjugate Fourier series

DOI10.1155/2015/470205zbMath1321.42009OpenAlexW1491844327WikidataQ59112833 ScholiaQ59112833MaRDI QIDQ492544

Yong-Cai Geng, Sumit K. Garg

Publication date: 20 August 2015

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/470205

zbMATH Keywords

conjugate functionsconjugate Fourier seriespointwise approximationhump matrix means

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Matrix methods for summability (40C05) Summability and absolute summability of Fourier and trigonometric series (42A24) Conjugate functions, conjugate series, singular integrals (42A50)

Cites Work

• Degree of approximation of the conjugate of signals (functions) belonging to \(\mathrm{Lip}({\alpha},r)\)-class by \((C,1)(E,q)\) means of conjugate trigonometric Fourier series
• On the degree of approximation of continuous functions
• Using infinite matrices to approximate functions of class Lip\((\alpha ,p)\) using trigonometric polynomials
• On the degree of approximation of functions belonging to the Lipschitz class by means of a conjugate series
• On the degree of approximation of functions belonging to the class Lip(alpha,p) by means of a conjugate series
• Approximation of functions from L^p(\widetildeω)_βby linear operators of conjugate Fourier series
• Degree of approximation of conjugate of a function belonging to Lip\((\xi(t),p)\) class by matrix summability means of conjugate Fourier series.
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