Degree of convergence of the functions of trigonometric series in Sobolev spaces and its applications

被引：0
作者：
H. K. Nigam
Saroj Yadav
机构：
[1] Central University of South Bihar,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2022卷
关键词：
Degree of convergence; Modulus of smoothness; Sobolev spaces; Riesz means; Fourier series; Derived Fourier series; Conjugate Fourier series; Conjugate derived Fourier series; 41A10; 46E35; 42A50;
D O I：
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学科分类号：
摘要：
In this paper, we study the degree of convergence of the functions of Fourier series and conjugate Fourier series in Sobolev spaces using Riesz means. We also study some applications of our main results and observe that our results are much better than earlier results.
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共 25 条
[1]  
Bube K.P.(1978) convergence of trigonometric interpolants SIAM J. Numer. Anal. 15 1258-1268
[2]  
Keska S.(2016)The degree of approximation by Hausdorff means of a conjugate Fourier series Annales Universitatis Mariae Curie- Sklodowska 70 63-82
[3]  
Krasniqi X.Z.(2019)On the degree of approximation of continuous functions by means of Fourier series in the Hölder metric Anal. Theory Appl. 35 392-404
[4]  
Szal B.(2010)Approximation of functions belonging to Lipschitz class by triangular matrix method of Fourier series Int. J. Math. Anal. 4 1041-1047
[5]  
Lal S.(2016)Degree of approximation of Fourier series of functions in Besov space by Riesz means IOSR J. Math. 12 42-56
[6]  
Dhakal B.P.(2021)Degree of approximation of conjugate Fourier series of functions in the Besov space by Riesz mean Int. J. Math. Trends Tech. 67 145-166
[7]  
Mohanty M.(2018)Degree of approximation of conjugate Fourier series of functions in the Besov space by matrix mean J. Orissa Math. Soc. 1 103-126
[8]  
Mohanty M.(2010)On degree of approximation of a function belonging to Commun. Appl. Anal. 14 607-661
[9]  
Beuria S.(2019) class by Demonstr. Math. 52 370-387
[10]  
Mohanty M.(2019) product means of Fourier series Tamkang J. Math. 50 417-428
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