Title of article :
DEGREE OF APPROXIMATION BY PRODUCT (N, pn, qn)(E, q) SUMMABILITY OF FOURIER SERIES OF A SIGNAL BELONGING TO Lip(α, r)-CLASS
Author/Authors :
PARIDA, P Department of Mathematics - Ravenshaw University - Cuttack - Odisha, India , PAIKRAY, S. K Department of Mathematics - Veer Surendra Sai University of Technology - Odisha, India , DASH, M Department of Mathematics - Ravenshaw University - Cuttack - Odisha, India , MISRA, U. K Department of Mathematics - National Institute of Science and Technology - Odisha, India
Abstract :
Approximation of periodic functions by different linear summation methods
have been studied by many researchers. Further, for sharpening the estimate of errors out
of the approximations several product summability methods were introduced by different
investigators. In this paper a new theorem has been established on (N, pn, qn)(E, q)-
summability of Fourier series of a function belonging to f ∈ Lip(α, r) class that generalizes several known results.
Keywords :
Degree of approximation , Fourier series , Lip(α, r)-class , (N, pn, qn)(E, s)- mean , Lebesgue integral
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
