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Quasi-monomiality and convergence theorem for the Boas-Buck-Sheffer polynomials

Shahid Ahmad Wani, Kottakkaran Sooppy Nisar

2020AIMS Mathematics17 citationsDOIOpen Access PDF

Abstract

A mixed family of polynomials, called the Boas-Buck-Sheffer family is introduced and their quasi-monomial properties are established in this article. Also, the generalizations of the Szasz operators including this mixed polynomial family are obtained and their convergence is studied.

Topics & Concepts

MathematicsPolynomialClassical orthogonal polynomialsConvergence (economics)Orthogonal polynomialsMonomialAlgebra over a fieldDiscrete orthogonal polynomialsPure mathematicsMathematical analysisEconomic growthEconomicsApproximation Theory and Sequence SpacesAdvanced Mathematical IdentitiesMathematical functions and polynomials