A Kantorovich Type of Szasz Operators Including Brenke‐Type Polynomials | Zendy

Fatma Taşdelen | Zendy; Rabıa Aktaş | Zendy; Abdullah Altın | Zendy

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A Kantorovich Type of Szasz Operators Including Brenke‐Type Polynomials

Author(s) -

Fatma Taşdelen,

Rabıa Aktaş,

Abdullah Altın

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/867203

Subject(s) - mathematics , type (biology) , generalization , convergence (economics) , modulus of continuity , pure mathematics , orthogonal polynomials , classical orthogonal polynomials , wilson polynomials , discrete orthogonal polynomials , operator theory , order (exchange) , algebra over a field , mathematical analysis , ecology , finance , economics , biology , economic growth

We give a Kantorovich variant of a generalization of Szasz operators defined by means of the Brenke-type polynomials and obtainconvergence properties of these operators by using Korovkin's theorem. We also present the order of convergence with the help of a classical approach, the second modulus of continuity, and Peetre's -functional. Furthermore, an example of Kantorovich type of the operators including Gould-Hopper polynomials is presented and Voronovskaya-type result is given for these operators including Gould-Hopper polynomials

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