Approximation of integrable functions by general linear matrix operators of their Fourier series

The pointwise estimates of the deviation Tn,Af(⋅)−f(⋅){T}_{n,A}f(\cdot )-f\left(\cdot ) in terms of pointwise moduli of continuity based on the points of differentiability of indefinite integral of ff, with application of the rth differences of the entries of AA, are proved. The similar results in c...

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Bibliographic Details
Main Authors: Mishra Vishnu Narayan, Łenski Włodzimierz, Szal Bogdan
Format: Article
Language:English
Published: De Gruyter 2022-05-01
Series:Demonstratio Mathematica
Subjects:
Online Access:https://doi.org/10.1515/dema-2022-0009