Vuĉkoviĉ [Maths. Zeitchr. 89, 192 (1965)] 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 ,ξ(t)) by K λ -summability means of its Fourier series and conjugate of function f ∈ Lip(α, r) and f ∈ W(L r, ξ (t)) by K λ -summability means of its conjugate Fourier series and establish four quite new theorems.MSC: primary 42B05; 42B08; 42A42; 42A30; 42A50.
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Nigam et al. (2011) studied this question.