A study on degree of approximation of a function belonging to weighted W(Lr, ξ(t)) class by product summability of Fourier series

Abstract

In the present paper, a known theorem of Nigam and Sharma (2011) dealing with the degree of approximation of a function belonging to Lip(ξ(t),r)-class by (N, p, q)(E,1) product summability of Fourier series has been generalized for the weighted W(Lr, ξ(t)) -class. Our result is in more general form of the theorem of Nigam and Sharma (2011).In the present paper, a known theorem of Nigam and Sharma (2011) dealing with the degree of approximation of a function belonging to Lip(ξ(t),r)-class by (N, p, q)(E,1) product summability of Fourier series has been generalized for the weighted W(Lr, ξ(t)) -class. Our result is in more general form of the theorem of Nigam and Sharma (2011).