Open AccessApproximation of functions of class $Lip(\alpha,r), (r\geq1)$ by $(N,p_n)(E,1)$ summability means of Fourier series
Author(s) -
Shyam Lal,
Abhishek Mishra
Publication year - 2014
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.45.2014.876
Subject(s) - mathematics , fourier series , alpha (finance) , class (philosophy) , function (biology) , degree (music) , series (stratigraphy) , combinatorics , pure mathematics , fourier transform , discrete mathematics , mathematical analysis , statistics , physics , computer science , artificial intelligence , paleontology , construct validity , evolutionary biology , acoustics , biology , psychometrics
In this paper, two new theorems on degree of approximation of a function $f\in Lip(\alpha,r), \ \ (r \geq 1)$, have been established. A new technique is applied to find the estimate.