Skip navigation
BelSU DSpace logo

Please use this identifier to cite or link to this item:
Title: Two forms of an inverse operator to the generalized Bessel potential
Authors: Dzhabrailov, A.
Luchko, Yu.
Shishkina, E.
Keywords: mathematics
generalized Bessel potential
inverse operator
approximative inverse operator
Hadamard regularisation
Issue Date: 2021
Citation: Dzhabrailov, A. Two forms of an inverse operator to the generalized Bessel potential / A. Dzhabrailov, Luchko Yu., E. Shishkina // Axioms. - 2021. - Vol.10, №3.-Atr. 232.
Abstract: In this paper, we treat a convolution-type operator called the generalized Bessel potential. Our main result is the derivation of two different forms of its inversion. The first inversion is provided in terms of an approximative inverse operator using the method of an improving multiplier. The second one employs the regularization technique for the divergent integrals in the form of the appropriate segments of the Taylor-Delsarte series
Appears in Collections:Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages)

Files in This Item:
File Description SizeFormat 
Shishkina_Two.pdf335.11 kBAdobe PDFView/Open
Show full item record

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.