APPROXIMATION OF SIGNALS BELONGING TO THE GENERALIZED WEIGHTED W(Lr, ξ(t)), r≥1 CLASS BY PRODUCT SUMMABILITY (C,1)(N,) MEANS OF CONJUGATE SERIES OF A FOURIER SERIES

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Published: 2016-02-27

Page: 137-146


ARADHANA DUTT JAUHARI *

Department of Mathematics, School of Basic and Applied Sciences, Galgotias University, Greater Noida, India.

*Author to whom correspondence should be addressed.


Abstract

The paper aims at studying and establishing the theorem of approximation of conjugate of the f∈W(Lr,ξ(t)) class by product summability (C,1)(N,pn) with the help of conjugate series of a Fourier series.  The main theorem is a generalization of several known and new results concluded in the present study.

Keywords: Degree of approximation, generalized weighted Lipschitz class of function, conjugate Fourier series, Lebesgue integral


How to Cite

JAUHARI, A. D. (2016). APPROXIMATION OF SIGNALS BELONGING TO THE GENERALIZED WEIGHTED W(Lr, ξ(t)), r≥1 CLASS BY PRODUCT SUMMABILITY (C,1)(N,) MEANS OF CONJUGATE SERIES OF A FOURIER SERIES. Asian Journal of Mathematics and Computer Research, 11(2), 137–146. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/412

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