Let f be a periodic function and integrable, in
thesense of Lebesgue.In this paper, quite new theorems on
almost Matrix summability of Fourier series and its conjugate
have been established. our study generalizes all previously
known results of this line of work
Various types of criteria, under varying conditions, for the Nörlund
summability of the derived fourier series have been previously
obtainedby Hille and Tamarkin (1932), Astrachan (1936) and
Prasad and Siddiqi (1950). In this paper quite a differe
nt and
general type of criterion for the summability of the derived
fourier series has been obtained.
Where we shall consider a function f(x) of bounded variation
integrable in the sense of Lebesgue, and periodic.
