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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 9, Pages 16–20
(Mi ivm8823)
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This article is cited in 2 scientific papers (total in 2 papers)
Approximation of functions by universal sums of series with respect to subsystems of Hermite polynomials
L. K. Dodunova, O. V. Tyutyulina Chair of Function Theory, Nizhni Novgorod State University, 23 Gagarin Ave., Nizhni Novgorod, 603950 Russia
Abstract:
The uniform approximation of functions from a certain class on compact sets was performed first by means of polynomials, then by partial sums of universal functional series, and further by special sums associated with functional series. In this paper we construct universal sums associated with Hermite polynomials (any function from this class on compact sets is approximated by these sums). We apply the matrix transformation method that was used earlier for constructing special sums for other functional series.
Keywords:
uniform approximation, universal series, Hermite polynomials.
Received: 07.06.2012
Citation:
L. K. Dodunova, O. V. Tyutyulina, “Approximation of functions by universal sums of series with respect to subsystems of Hermite polynomials”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 9, 16–20; Russian Math. (Iz. VUZ), 57:9 (2013), 12–15
Linking options:
https://www.mathnet.ru/eng/ivm8823 https://www.mathnet.ru/eng/ivm/y2013/i9/p16
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