Approximation of Fourier Series of a function of class by Product Means

Year 2014, Volume: 2 Issue: 3, 190 - 198, 01.12.2014

U.k. Misra

Abstract

Lipchitz class of function had been introduced by McFadden[7}.Recently dealing with degree of approximation of Fourier series of a function of Lipchitz class Nigam[4] and Misra et al [2],[3] have established certain theorems. Extending their

Keywords

Degree of Approximation, W L,  t  class of function, , E q N pn product mean, Fourier series

Approximation of Fourier Series of a Function of Class W L ,p  t by

Abstract

References

• G.H. Hardy, Divergent Series (First Edition), Oxford University Press, (1970).
• U.K. Misra, M. Misra, B.P. Padhy and S.K. Buxi, On degree of approximation by product mean,E q N pn of Fourier ,  of Fourier series, International Jour. of Math. Sciences, Technology and Humanities, 22(2012), 213-220.
• U.K. Misra, M. Misra, B.P. Padhy and D. Bisoyi, On degree of approximation by product mean, , E q N pn of Fourier series, International Jour. of Math. Sciences, Technology and Humanities, 22(2012), 213-220.