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Estimates for Sobolev-orthonormal functions and generated by Laguerre functions
R. M. Gadzhimirzaev Dagestan Federal Research Center of the RAS,
45, M.Gadzhieva st., Makhachkala, 367025, Russia
Abstract:
In this paper, we consider the system of functions λαr,n(x) (n=0,1,…), α>−1, r∈N, orthonormal with respect to a Sobolev-type inner product and generated by the system of Laguerre functions. Using asymptotic formulas for the Laguerre polynomials, we obtain estimates for functions λαr,n(x), x∈[0,∞).
Keywords:
Laguerre functions, Sobolev-type inner product, Sobolev-orthonormal functions.
Received: 29.09.2020 Revised: 29.01.2021 Accepted: 29.01.2021
Citation:
R. M. Gadzhimirzaev, “Estimates for Sobolev-orthonormal functions and generated by Laguerre functions”, Probl. Anal. Issues Anal., 10(28):1 (2021), 23–37
Linking options:
https://www.mathnet.ru/eng/pa314 https://www.mathnet.ru/eng/pa/v28/i1/p23
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Abstract page: | 155 | Full-text PDF : | 29 | References: | 21 |
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