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

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.

Bibliographic Details
Main Authors: Shahid Ahmad Wani, Kottakkaran Sooppy Nisar
Format: Article
Language:English
Published: AIMS Press 2020-06-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020283/fulltext.html
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author Shahid Ahmad Wani
Kottakkaran Sooppy Nisar
author_facet Shahid Ahmad Wani
Kottakkaran Sooppy Nisar
author_sort Shahid Ahmad Wani
collection DOAJ
description 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.
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spelling doaj.art-515c9729f76f4ccebb10e8c71a97f4912022-12-21T18:13:08ZengAIMS PressAIMS Mathematics2473-69882020-06-01554432444310.3934/math.2020283Quasi-monomiality and convergence theorem for the Boas-Buck-Sheffer polynomialsShahid Ahmad Wani0Kottakkaran Sooppy Nisar11 Department of Mathematics, Aligarh Muslim University, Aligarh, India2 Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, 11991, Prince Sattam bin Abdulaziz University, Saudi ArabiaA 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.https://www.aimspress.com/article/10.3934/math.2020283/fulltext.htmlboas-buck polynomialsmonomiality principleszasz operators
spellingShingle Shahid Ahmad Wani
Kottakkaran Sooppy Nisar
Quasi-monomiality and convergence theorem for the Boas-Buck-Sheffer polynomials
AIMS Mathematics
boas-buck polynomials
monomiality principle
szasz operators
title Quasi-monomiality and convergence theorem for the Boas-Buck-Sheffer polynomials
title_full Quasi-monomiality and convergence theorem for the Boas-Buck-Sheffer polynomials
title_fullStr Quasi-monomiality and convergence theorem for the Boas-Buck-Sheffer polynomials
title_full_unstemmed Quasi-monomiality and convergence theorem for the Boas-Buck-Sheffer polynomials
title_short Quasi-monomiality and convergence theorem for the Boas-Buck-Sheffer polynomials
title_sort quasi monomiality and convergence theorem for the boas buck sheffer polynomials
topic boas-buck polynomials
monomiality principle
szasz operators
url https://www.aimspress.com/article/10.3934/math.2020283/fulltext.html
work_keys_str_mv AT shahidahmadwani quasimonomialityandconvergencetheoremfortheboasbuckshefferpolynomials
AT kottakkaransooppynisar quasimonomialityandconvergencetheoremfortheboasbuckshefferpolynomials