Approximation of Conjugate of Functions belonging to Lip (alpha) Class and Weighted Class (L(r), xi(t)) by Product Means of Conjugate Series of Fourier Series

Hare Krishna Nigam

Abstract

In this paper, two quite new theorems on degree of approximation of conjugate of functions   fLip α class and fW(Lr,ξ(t) class using (E,1)(C,1) product summability means of conjugate series of Fourier series have been established.

Keywords

Degree of approximation, Lip α class, W(Lr,ξ(t)) class of functions, (E,1) summability, (C,1) summability, (E,1)(C,1) product summability, Fourier series, conjugate series of Fourier series, Lebesgue integral.

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