The Journal of the Indian Mathematical Society

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On the Approximation of Function f(x,y) Belonging to Lipschitz Class by Matrix Summability Method of Double Fourier Series


Affiliations
1 Department of Mathematics, Banaras Hindu University, Varanasi-221005, India
     

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In this paper, a new estimate for the degree of approximation of a function f(x,y) belonging to Lip(α,β) class by double matrix summability method of its double Fourier series has been determined.

Keywords

Degree of Approximation, Double Fourier Series, Double Matrix Summability Means, Functions of Lip(α,β) Class, (c,1,1), (H,1,1) and (N, pm, qn) Means.
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  • On the Approximation of Function f(x,y) Belonging to Lipschitz Class by Matrix Summability Method of Double Fourier Series

Abstract Views: 231  |  PDF Views: 0

Authors

Shyam Lal
Department of Mathematics, Banaras Hindu University, Varanasi-221005, India

Abstract


In this paper, a new estimate for the degree of approximation of a function f(x,y) belonging to Lip(α,β) class by double matrix summability method of its double Fourier series has been determined.

Keywords


Degree of Approximation, Double Fourier Series, Double Matrix Summability Means, Functions of Lip(α,β) Class, (c,1,1), (H,1,1) and (N, pm, qn) Means.