Approximation of functions belonging to different classes of functions by \((E, 1)(N, p_n)\) product means

DOI10.1134/S1995080211040160zbMath1268.41016OpenAlexW2131815617MaRDI QIDQ694449

Kusum Sharma, Hare Krishna Nigam

Publication date: 12 December 2012

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080211040160

zbMATH Keywords

Fourier seriesdegree of approximationLebesgue integral\((E, 1)\) means\((E,1) (N, p_n)\) product means\((N, p_n)\) means\(\operatorname{Lip}(\zeta (t), r)\) class\(\operatorname{Lip}\alpha\) class\(W(L_r ,\zeta (t))\) class of functions

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by other special function classes (41A30)

Related Items (1)

Approximation of Functions in Besov Space

Cites Work

• On the degree of approximation of functions belonging to the class Lip(alpha,p)
• On the degree of approximation of functions belonging to class Lip \((\alpha, p)\)
• Trigonometric approximation in \(L_{p}\)-norm
• Trigonometric approximation of functions in \(L _{p}\)-norm
• Absolute Nörlund summability
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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