On an Inequality for Legendre Polynomials

Florin Sofonea and Ioan Ţincu
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Florin Sofonea: Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, Str. Dr. I. Ratiu, No.5-7, RO-550012 Sibiu, Romania
Ioan Ţincu: Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, Str. Dr. I. Ratiu, No.5-7, RO-550012 Sibiu, Romania

Mathematics, 2020, vol. 8, issue 11, 1-11

Abstract: This paper is concerned with the orthogonal polynomials. Upper and lower bounds of Legendre polynomials are obtained. Furthermore, entropies associated with discrete probability distributions is a topic considered in this paper. Bounds of the entropies which improve some previously known results are obtained in terms of inequalities. In order to illustrate the results obtained in this paper and to compare them with other results from the literature some graphs are provided.

Keywords: Legendre; Chebyshev; Gegenbauer; hypergeometric representation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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