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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 1, Pages 24–38
(Mi ivm7169)
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This article is cited in 1 scientific paper (total in 1 paper)
Construction of polynomials of a special kind and examples of their application in the theory of power series and in the wavelet theory
E. V. Mishchenko Chair of Differential Equations, Novosibirsk State University, Novosibirsk, Russia
Abstract:
In this paper we construct polynomials of a special type. We consider examples of their application for studying the convergence of special power series, for determining the upper and lower Riesz bounds for a basis consisting of $B$-splines, and for studying the convergence of a sequence of Battle–Lemarié scaling functions.
Keywords:
functional series, $B$-splines, Riesz basis, Battle–Lemarié scaling function, Shennon–Kotel'nikov function.
Received: 13.05.2009
Citation:
E. V. Mishchenko, “Construction of polynomials of a special kind and examples of their application in the theory of power series and in the wavelet theory”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 1, 24–38; Russian Math. (Iz. VUZ), 55:1 (2011), 19–32
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https://www.mathnet.ru/eng/ivm7169 https://www.mathnet.ru/eng/ivm/y2011/i1/p24
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Abstract page: | 416 | Full-text PDF : | 86 | References: | 66 | First page: | 9 |
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