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.
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Format: | Article |
Language: | English |
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AIMS Press
2020-06-01
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Series: | AIMS Mathematics |
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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. |
first_indexed | 2024-12-22T20:49:07Z |
format | Article |
id | doaj.art-515c9729f76f4ccebb10e8c71a97f491 |
institution | Directory Open Access Journal |
issn | 2473-6988 |
language | English |
last_indexed | 2024-12-22T20:49:07Z |
publishDate | 2020-06-01 |
publisher | AIMS Press |
record_format | Article |
series | AIMS Mathematics |
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 |