On the degree of approximation of the conjugate of a function belonging to the weighted $ W(L^p, \xi(t))$ class by matrix means of the conjugate series of a Fourier series

Abstract

In a recent paper Lal [1] obtained a theorem on the degree of approximation of the conjugate of a function belonging to the weighted $ W(L^p, \xi(t))$ class using a triangular matrix transform of the conjugate series of the Fourier series representation of the function. The matrix involved was assumed to have monotone increasing rows. We establish the same result by removing the monotonicity conditon.