In the present innovative pursuit, the generalized Nörlund summability method, that is, the (N, c, d) summation process of Fourier series of f (x) as well defined by Borwein [4] has been invoked to approximate the function f (x) belonging to Lip M α (0 < α < 1 ) and M being some constant. Here it is worth-emphasising that not only mere approximation, but also the constants appeared in the proce...

In this paper, we have proved two main theorems under more weaker conditions dealing with absolute weighted arithmetic mean summability factors of infinite series and trigonometric Fourier series. We also obtained certain new results on the different methods.