A CLASS OF FUNCTIONS AND THEIR DEGREE OF APPROXIMATION BY ALMOST $(N, p, \alpha)$ METHOD

Qureshi [6] proved a theorem for the degree of approximation of a periodic function $\bar f$, conjugate to a $2\pi$-periodic function $f$ and belonging to the class Lip $\theta$, by almost matrix mean of its conjugate series. The above theorem was further generalized by Qureshi and Nema [8] for a function belonging to the class $W(L^p, \Psi_1(t))$ by almost matrix mean. In the present paper we have discussed degree of approximation of above class of functions by almost $(N , p, \alpha)$ method.