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

نظرية شبه المونومية والتقارب لمتعددات حدود بوا- باك- شيفر
Authors: Shahid Ahmad Wani; Kottakkaran Sooppy Nisar;

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

Abstract

Une famille mixte de polynômes, appelée famille de Boas-Buck-Sheffer est introduite et leurs propriétés quasi-monomiales sont établies dans cet article. Aussi, les généralisations des opérateurs de Szasz incluant cette famille polynomiale mixte sont obtenues et leur convergence est étudiée.

Se introduce una familia mixta de polinomios, llamada familia Boas-Buck-Sheffer y en este artículo se establecen sus propiedades cuasi monomiales. Asimismo, se obtienen las generalizaciones de los operadores de Szasz incluyendo esta familia polinómica mixta y se estudia su convergencia.

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.

يتم تقديم عائلة مختلطة من متعددات الحدود، تسمى عائلة بواس باك شيفر ويتم تحديد خصائصها شبه المونومية في هذه المقالة. أيضًا، يتم الحصول على تعميمات مشغلي Szasz بما في ذلك هذه العائلة متعددة الحدود المختلطة ودراسة تقاربها.

Keywords

Statistics and Probability, Orthogonal polynomials, Economics, Arithmetic of Multiple Zeta Values and Related Functions, Matrix Valued Polynomials, Polynomial, Mathematical analysis, Orthogonal Polynomials, Boas-Buck polynomials, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Monomial, Discrete orthogonal polynomials, QA1-939, FOS: Mathematics, Szasz operators, Umbral calculus, Economic growth, Algebra over a field, Algebra and Number Theory, Applied Mathematics, Classical orthogonal polynomials, Statistical Convergence in Approximation Theory and Functional Analysis, Pure mathematics, szasz operators, monomiality principle, boas-buck polynomials, Physical Sciences, Convergence (economics), Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Top 10%
Average
Top 10%
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