Abstract and Applied Analysis

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

Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 680340, 15 pages.

Dates
First available in Project Euclid: 14 December 2012

https://projecteuclid.org/euclid.aaa/1355495833

Digital Object Identifier
doi:10.1155/2012/680340

Mathematical Reviews number (MathSciNet)
MR2965458

Zentralblatt MATH identifier
1250.41014

Citation

Sucu, Sezgin; İçöz, Gürhan; Varma, Serhan. On Some Extensions of Szasz Operators Including Boas-Buck-Type Polynomials. Abstr. Appl. Anal. 2012 (2012), Article ID 680340, 15 pages. doi:10.1155/2012/680340. https://projecteuclid.org/euclid.aaa/1355495833

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