On The Degree of Approximation of Continous Functions

Authors : Chandra PREM

Pages : 0-0

Doi:10.1501/Commua1_0000000095

View : 18 | Download : 8

Publication Date : 1981-01-01

Article Type : Research Paper

Abstract :In this paper the author has obtained the degree of approximation of a 2Tc-periodic function f of the class lâp 0 0); if f insert ignore into journalissuearticles values(x-|-h); - f insert ignore into journalissuearticles values(x); = O insert ignore into journalissuearticles values( I h Let {s„} be a sequence of partial sums of the given series co s n=o c,n’ where s„= c. ... + c„. Then insert ignore into journalissuearticles values(E, q); insert ignore into journalissuearticles values(q > 0); -means of {«n} are defined by insert ignore into journalissuearticles values( [4], p. 180); a-3); insert ignore into journalissuearticles values(i+q); -n n s k=o insert ignore into journalissuearticles values(^); q” The insert ignore into journalissuearticles values(E, q); means for q> O are regular insert ignore into journalissuearticles values( [4], p. 179);. Throughout this paper K’s vdll denote pofitive constants. 2. INTRODUCTION. The folJowİDg theorem on. the degree of approximation of a function f, beîongingto the class Lip a. by the insert ignore into journalissuearticles values(C, S); - means of its Fourifr series is proved by Alexits insert ignore into journalissuearticles values([l],p.301);:
Keywords : Degree, Approximation, Continous Functions