A study on degree of approximation by Karamata summability method

Abstract

] and Kathal [Riv. Math. Univ. Parma, Italy 10, 33-38 (1969)] have studied summability of Fourier series by Karamata (K l ) summability method. In present paper, for the first time, we study the degree of approximation of function f Lip (a,r) and f W(L r ,(t)) by K -summability means of its Fourier series and conjugate of function f Lip(, r) and f W(L r, (t)) by K -summability means of its conjugate Fourier series and establish four quite new theorems. MSC: primary 42B05; 42B08