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

Authors

  • Hare Krishna Nigam Assistant Professor, Department of Mathematics Faculty of Engineering and Technology, Mody Institute of Technology and Science (Deemed University) Laxmangarh, sikar (Rajasthan) India

Keywords:

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

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.

Author Biography

Hare Krishna Nigam, Assistant Professor, Department of Mathematics Faculty of Engineering and Technology, Mody Institute of Technology and Science (Deemed University) Laxmangarh, sikar (Rajasthan) India

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How to Cite

Nigam, H. K. (2011). 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. European Journal of Pure and Applied Mathematics, 4(3), 276–286. Retrieved from https://ejpam.com/index.php/ejpam/article/view/620