Construction of polynomials of a special kind and examples of their application in the theory of power series and in the wavelet theory |
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Authors: | E V Mishchenko |
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Institution: | 1. Novosibirsk State University, pr. Koptyuga 2, Novosibirsk, 630090, Russia
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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. |
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