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In the present paper, two quite new reults on the degree of approximation of a function f belonging to the class Lip(α,r), 1≤ r

In this paper, a quite new theorem on almost summability of Fourier-Jacobi series has been established. Our theorem extends and generalizes all previously known results of this line of work.

A good amount of work has been done on degree of approximation of functions belonging to Lipα, Lip(α,r), Lip(ξ(t),r) and W(Lr, ξ(t)) classes using Cesàro and (generalized) Nörlund single summability methods by a number of researchers like Alexits, Sahney, Goel, Qureshi, Neha, Chandra, Khan, Leindler and Rhoades. But till now no work seems to have been done so far in the direction of present work. Therefore, in present paper, two quite new results on degree of approximation of functions f∈ Lipα and f∈ W(Lr,ξ(t)) class by (E,1)(C,1) product summability means of Fourier series have been obtained.