6533b832fe1ef96bd129a5c1

RESEARCH PRODUCT

On an Inequality for Legendre Polynomials

Ioan ŢIncuFlorin Sofonea

subject

Inequalitylcsh:MathematicsGeneral Mathematicsmedia_common.quotation_subject010102 general mathematicsGegenbauerlcsh:QA1-939Legendre01 natural sciencesChebyshev filterUpper and lower bounds010101 applied mathematicsChebyshevOrthogonal polynomialsComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONComputer Science (miscellaneous)Probability distributionOrder (group theory)Applied mathematics0101 mathematicsEngineering (miscellaneous)Legendre polynomialshypergeometric representationmedia_commonMathematics

description

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.

yearjournalcountryeditionlanguage
2020-11-17Mathematics
10.3390/math8112044http://dx.doi.org/10.3390/math8112044