The Summability Of Derived Fourier Series and Its Conjugate By Nörlund Method


Abstract in English

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 different 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.

References used

LAL,S YADAV,P 2002 Matrix Summability Of The Conjugate Series Of Derived Fourier Series Tamkang Journal Of Mathematics Vol . 33 . 35-43
TRIPATHI,L PRASAD,B 1963 On The Norlund Summability Of The Derived Fourier Series Department Of Mathematics 548-555
Varshney,P 1961 On The Matrix Summability Of The Derived Fourier Series Bollettion Unione Matematica Italiana Vol . 16 . 379-382

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