On the Approximation of Functions From Lp by Some Special Matrix Means of Fourier Series

Abstract

The results corresponding to some theorems of S. Lal [Appl. Math. and Comput. 209 (2009), 346-350] and the results of W. Łenski and B. Szal [Banach Center Publ., 95, (2011), 339-351] are shown. The better degrees of pointwise approximation than these in mentioned papers by another assumptions on summability methods for considered functions are obtained. From presented pointwise results the estimation on norm approximation are derived. Some special cases as corollaries are also formulated.

On the approximation of integrable functions by some special matrix means of Fourier series

“…Z. Krasniqi [4], R. Kranz and A. Rzepka [5]. In this paper the results corresponding to the following theorems of Xh.…”