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.
Highlights
Various researchers such as Gupta (1971), Singh (1977), Beohar and Jadia (1980), Lal and Nigam (2001), Nigam and Sharma (2010), Krasniqi (2013) and Sonker (2014) obtained the degree of approximation of L[0, ∞) of the Fourier-Laguerre series by Cesà ro, Harmonic, Nörlund, Euler, (C, 1) (E, q), (C, 2)(E, q) and Cesà ro means, respectively
The degree of approximation of functions belonging to various classes through trigonometric Fourier approximation using different summability
Kejal Khatri received the PhD in Mathematics from SVNIT, Surat
Summary
Various researchers such as Gupta (1971), Singh (1977), Beohar and Jadia (1980), Lal and Nigam (2001), Nigam and Sharma (2010), Krasniqi (2013) and Sonker (2014) obtained the degree of approximation of L[0, ∞) of the Fourier-Laguerre series by Cesà ro, Harmonic, Nörlund, Euler, (C, 1) (E, q), (C, 2)(E, q) and Cesà ro means, respectively. The degree of approximation of functions belonging to various classes through trigonometric Fourier approximation using different summability
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