Degree of approximation of Fourier series of functions in Besov space by deferred Nörlund mean

Abstract

In the present paper, we estimate the rate of convergence of Fourier series of functions by Deferred Nörlund mean in Besov space which is a generalization of [Formula: see text] space.

Fourier Series Approximation in Besov Spaces

“…For such Nörlund matrices, Teorems 3 and 4 give the degree of approximation of Nörlund means of Fourier series of Besov space functions. Similarly, the results of [14][15][16] can also be derived using our results.…”

“…Researchers studied various means of Fourier series in various function spaces; for example, one can see [10][11][12][13] and references therein. Mohanty et al [10][11][12], Mittal and Singh [14,15], Nigam and Hadish [13], and Padhy and Nayak [16] studied the approximation of Besov space functions by various summability means of their trigonometric Fourier series. In most of the studies, the researchers concentrate on the degree of approximation of Besov space functions for 0 < α < 2.…”