Approximation by Chlodowsky type of Szász operators based on Boas–Buck-type polynomials | Zendy

M. ‎Mursaleen | Zendy; Ahmed Ahmed Hussin Ali Al-Abied | Zendy; Ana Maria Acu | Zendy

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Approximation by Chlodowsky type of Szász operators based on Boas–Buck-type polynomials

Author(s) -

M. ‎Mursaleen,

Ahmed Ahmed Hussin Ali Al-Abied,

Ana Maria Acu

Publication year - 2018

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1803-62

Subject(s) - mathematics , laguerre polynomials , classical orthogonal polynomials , orthogonal polynomials , type (biology) , difference polynomials , discrete orthogonal polynomials , wilson polynomials , hahn polynomials , pure mathematics , convergence (economics) , discrete mathematics , algebra over a field , gegenbauer polynomials , ecology , biology , economics , economic growth

A Chlodowsky variant of generalized Szász-type operators involving Boas–Buck-type polynomials is considered and some convergence properties of these operators by using a weighted Korovkin-type theorem are given. A Voronoskaja-type theorem is proved. The convergence properties of these operators in a weighted space of functions defined on [0,∞) are studied. The theoretical results are exemplified choosing the special cases of Boas–Buck polynomials, namely Appell-type polynomials, Laguerre polynomials, and Charlier polynomials.

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