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Your search keyword '"Fourier series"' showing total 2 results
2 results on '"Fourier series"'

1. Approximation of signals belonging to generalized Lipschitz class using (..., pn, qn)(E, s)-summability mean of Fourier series.

Author

Pradhan, Tejaswini, Paikray, Susanta Kumar, Misra, Umakanta, and Srivastava, Hari M.

Subjects
*MATHEMATICAL functions, *APPROXIMATION theory, *MATHEMATICS theorems, *FOURIER series, *FOURIER analysis
Abstract

Degree of approximation of functions of different classes has been studied by several researchers by different summability methods. In the proposed paper, we have established a new theorem for the approximation of a signal (function) belonging to the W(Lr, ξ(t))-class by (..., pn, qn)(E, s)-product summability means of a Fourier series. The result obtained here, generalizes several known theorems. [ABSTRACT FROM AUTHOR]

Published
2016
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2. Approximation of functions belonging to L[0, ∞) by product summability means of its Fourier-Laguerre series.

Author

Khatri, Kejal, Mishra, Vishnu Narayan, and Srivastava, Hari M.

Subjects
*MATHEMATICAL functions, *APPROXIMATION theory, *MATHEMATICAL series, *FOURIER series, *HARMONIC analysis (Mathematics)
Abstract

In this paper, we have proved the degree of approximation of functions belonging to L[0, ∞) by Harmonic-Euler means of its Fourier-Laguerre series at x = 0. The aim of this paper is to concentrate on the approximation properties of the functions in L[0, ∞) by Harmonic-Euler means of its Fourier-Laguerre series associated with the function f. [ABSTRACT FROM AUTHOR]

Published
2016
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