On the approximation of conjugate functions from $L^{p}$ by some special matrix means of conjugate Fourier series

Radosława Krantz; Aleksandra Rzepka

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ArticleOriginal scientific text

Title

On the approximation of conjugate functions from $L^{p}$ by some special matrix means of conjugate Fourier series

Authors ,

Abstract

The results corresponding to some theorems of W. Łenski and B. Szal are shown. From the presented pointwise results the estimates on norm approximation are derived. Some special cases as corollaries are also formulated.

Keywords

ENG

degree of approximation, Fourier series, matrix means, conjugate function

Title

On the approximation of conjugate functions from Lp by some special matrix means of conjugate Fourier series

Abstract

Keywords

On the approximation of conjugate functions from $L^{p}$ by some special matrix means of conjugate Fourier series