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G.H. Hardy, Divergent Series (First Edition), Oxford University Press, (1970).

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Article

Approximation of Conjugate Series of the Fourier Series of a Function of Class W(Lp,ξ(t)) by Product Means

1Department of Mathematics Binayak Acharya College, Berhampur, Odisha, India

2Department of Mathematics GIET, Gunupur, Odisha, India

3Department of Mathematics Roland Institute of Technology, Golanthara, Odisha, India

4Department of Mathematics Berhampur University, Berhampur, Odisha, India

5Department of Mathematics National Institute of Science and Technology Pallur Hills, Golanthara, Odisha, India


American Journal of Applied Mathematics and Statistics. 2014, Vol. 2 No. 5, 352-356
DOI: 10.12691/ajams-2-5-9
Copyright © 2014 Science and Education Publishing

Cite this paper:
M. Misra, B. Majhi, B.P. Padhy, P. Samanta, U.K. Misra. Approximation of Conjugate Series of the Fourier Series of a Function of Class W(Lp,ξ(t)) by Product Means. American Journal of Applied Mathematics and Statistics. 2014; 2(5):352-356. doi: 10.12691/ajams-2-5-9.

Correspondence to: U.K.  Misra, Department of Mathematics National Institute of Science and Technology Pallur Hills, Golanthara, Odisha, India. Email: umakanta_misra@yahoo.com

Abstract

In this paper a theorem on degree of approximation of a function f∈W(Lp,ξ(t)) by product summability of the conjugate series of Fourier series associated with f has been established.

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