Approximation of a function \(f\in W(L_p, \xi(t))\) class by \((C, 2)[F, d_n]\) means of its Fourier series

MaRDI QIDQ6489136

H. L. Rathore

Publication date: 19 April 2024

Published in: Gaṇita (Search for Journal in Brave)

zbMATH Keywords

summabilityFourier seriesLebesgue integral\((C, 2)[F, d_n\)]\((C, 2)\) mean\([F, d_n\) mean]\(W(L_p, \xi(t))\) class

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

Cites Work

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• On the degree of approximation to a function belonging to weighted \((L^p,\psi_1(t))\) class
• On the degree of approximation of functions belonging to class Lip \((\alpha, p)\)
• Approximation of function of class \(\text{Lip}(\alpha,p)\) by \([F,d_ n\) mean]
• A generalization of the Lototsky method of summability
• Degree of approximation of a function belonging to weighted $(L_r ,\xi(t ))$ class by (C,1)(E,q) means
• On the [F, d_n summation of Fourier series]
• Some Regular [F, d_n Matrices with Complex Elements]
• ON APPROXIMATION OF CONTINUOUS FUNCTION IN THE HöLDER METRIC BY ( C, 1)[F, dn MEANS OF ITS FOURIER SERIES]

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