scholarly journals On degree of approximation of Fourier series of functions in Besov space using Norlund meanIn the present article, we have established a result on degree of approximation of function in the Besov space by (N; rn)- mean of  Trigonometric Fourier series

2021 ◽  
Author(s):  
Birupakhya Prasad Padhy ◽  
Anwesha Mishra ◽  
U. K. Misra
Keyword(s):  
Fourier Series ◽  
Present Article ◽  
Besov Space ◽  
Degree Of Approximation ◽  
Trigonometric Fourier Series ◽  
Series Of Functions ◽  
Approximation Of Function

In the present article, we have established a result on degree of approximation of function in the Besov space by (N; rn)- mean of  Trigonometric Fourier series

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

2021 ◽  
pp. 2250033
Author(s):  
Birupakhya Prasad Padhy ◽  
Laxmipriya Nayak
Keyword(s):  
Fourier Series ◽  
Rate Of Convergence ◽  
Besov Space ◽  
Degree Of Approximation ◽  
Series Of Functions

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.

scholarly journals On Approximation of Signals in the Generalized Zygmund Class Using (E,r)(N,qn) Mean of Conjugate Derived Fourier Series

2020 ◽  
Vol 13 (5) ◽  
pp. 1325-1336
Author(s):  
Anwesha Mishra ◽  
Birupakhya Prasad Padhy ◽  
Umakanta Misra
Keyword(s):  
Fourier Series ◽  
Present Article ◽  
Degree Of Approximation ◽  
Zygmund Class ◽  
Approximation Of Signals ◽  
Approximation Of Function

In the present article, we have established a result on degree of approximation of function in the generalized Zygmund class Zl(m),(l ≥ 1) by (E,r)(N,qn)- mean of conjugate derived Fourier series.

scholarly journals Approximation of the function |sin x| s by the partial sums of the trigonmometric rational fourier series

2021 ◽  
Vol 65 (1) ◽  
pp. 11-17
Author(s):  
N. Yu. Kazlouskaya ◽  
Ya. A. Rovba
Keyword(s):  
Fourier Series ◽  
Integral Representation ◽  
Present Article ◽  
Asymptotic Equality ◽  
Fixed Number ◽  
Trigonometric Fourier Series ◽  
Partial Sums ◽  
Point Estimates ◽  
Special Cases ◽  
Selection Of

In the present article, the approximation of the function |sin x| s by the partial sums of the rational trigonometric Fourier series is considered. An integral representation, uniform and point estimates for the above-mentioned approximation were obtained. Based on them, several special cases of the selection of poles were studied. In the case of the approximation by the partial sums of the polynomial trigonometric Fourier series, an asymptotic equality was found. A detailed study is made of a fixed number of geometrically different poles.

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