On Some Extensions of Szasz Operators Including Boas‐Buck‐Type Polynomials | Zendy

Sezgi̇n Sucu | Zendy; Gürhan İçöz | Zendy; Serhan Varma | Zendy

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On Some Extensions of Szasz Operators Including Boas‐Buck‐Type Polynomials

Author(s) -

Sezgi̇n Sucu,

Gürhan İçöz,

Serhan Varma

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 - 10.1155/2012/680340

Subject(s) - mathematics , laguerre polynomials , classical orthogonal polynomials , orthogonal polynomials , type (biology) , difference polynomials , discrete orthogonal polynomials , sequence (biology) , modulus of continuity , pure mathematics , convergence (economics) , algebra over a field , discrete mathematics , ecology , genetics , economics , biology , economic growth

This paper is concerned with a new sequence of linear positive operators which generalize Szasz operators including Boas-Buck-type polynomials. We establish a convergence theorem for these operators and give the quantitative estimation of the approximation process by using a classical approach and the second modulus of continuity. Some explicit examples of our operators involving Laguerre polynomials, Charlier polynomials, and Gould-Hopper polynomials are given. Moreover, a Voronovskaya-type result is obtained for the operators containing Gould-Hopper polynomials

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