For citation:
Burmistrova M. D. On Laguerre Expansions Summability by the Linear Methods. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2008, vol. 8, iss. 1, pp. 15-20. DOI: 10.18500/1816-9791-2008-8-1-15-20
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
03.03.2008
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Language:
Russian
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UDC:
517.5
On Laguerre Expansions Summability by the Linear Methods
Autors:
Burmistrova M. D., OOO «Zirvan»
Abstract:
This paper studies a problem of Laguerre expansions summability via methods defined by triangular matrices. The conditions on a matrix and an expandable function are obtained to guarantee the convergence of corresponding linear means at the Lebesgue point t = 0.
Key words:
References:
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- Askey R., Wainger S. Mean convergence of expansions in Laguerre and Hermite series // Amer. J. Math. 1965.
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