Approximation of functions belonging to LIP (α, p) class by (E, 1)(N,pn) means of its fourier series

The present paper deals with approximation of a function belonging to the Lip (α, p) class by product summability method. Here product of Euler (E,1) summability method and N？rlund (N, p n ) method has been taken. A new estimate on degree of approximation of a function f belonging to Lip (α, p) class has been determined by (E,1) (N, p n ) summability of a Fourier series. Subject Classification : 40G05, 42B05, 42B08 Keywords and phrases : Degree of approximation; (E,1)(N, p n ) summability; Fourier series; Lip (α, p) class; L p norm. DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5416 KUSET 2011; 7(1): 1-8