Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Tyuleneva A. A. Approximation of Bounded p-variation Periodic Functions by Generalized Abel–Poisson and Logarithmic Means. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 4, pp. 27-35. DOI: 10.18500/1816-9791-2013-13-4-27-35

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
15.12.2013
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Language: 
Russian
Heading: 
Mathematics
UDC: 
517.518
DOI: 
10.18500/1816-9791-2013-13-4-27-35

Approximation of Bounded p-variation Periodic Functions by Generalized Abel–Poisson and Logarithmic Means

Autors: 
Tyuleneva Anna Anotol'evna, Saratov State University
Abstract: 

An asymptotic estimate of approximation by generalized Abel–Poisson means in p-variation metric on the class of functions with given majorant of p-variational best approximation is proved. Several other quantity results on approximation by these means are obtained.

Key words: 
функции ограниченной p-вариации
обобщенные средние Абеля–Пуассона
наилучшее приближение
p-вариационный модуль непрерывности
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