Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

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

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Likhacheva T. V. Approximation of Functions in Symmetrical and Connected Holder Spaces by Linear Means of Fourier–Vilenkin Series. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, vol. 14, iss. 3, pp. 287-294. DOI: 10.18500/1816-9791-2014-14-3-287-294, EDN: SMSJVL

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
10.09.2014
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Language: 
Russian
Heading: 
Mathematics
UDC: 
517.51
DOI: 
10.18500/1816-9791-2014-14-3-287-294
EDN: 
SMSJVL

Approximation of Functions in Symmetrical and Connected Holder Spaces by Linear Means of Fourier–Vilenkin Series

Autors: 
Likhacheva Tatyana Vladimirovna, Saratov State University
Abstract: 

In this paper some summation methods are applied to Fourier-Vilenkin series in so called symmetric spaces. These methods use triangular matrix with sums in rows tending to zero and with some conditions on difference of coefficients. The triginometric counterpart of our results are due to M. L. Mittal, B. E. Rhoades, A. Guven, etc.

Key words: 
Vilenkin system
symmetrical (rearrangament invariant) space
Hölder space
linear mean
References: 
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Received: 
10.03.2014
Accepted: 
11.08.2014
Published: 
10.09.2014
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