Approximation by a generalized Szász-Bézier operators

Author:

Qi Qiulan1,Guo Dandan1

Affiliation:

1. School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, P.R. China

Abstract

The application of B?zier type operators is very extensive and has attracted people?s attention. In the year 2017, Ren established a generalized Bernstein-B?zier type operators acting on C[0,1]. Inspired by this, in this paper, a generalized Sz?sz-B?zier type operators, with Gamma function defined on the positive semi-axis, is extended. Then, the equivalent theorem and the Voronovskaja type asymptotic formulas are also obtained.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference20 articles.

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2. V. Totik, Uniform approximation by Szász-Mirakian operators, Acta Math. Acad. Sci. Hungar., 41(1983) 291-307.

3. W. Chen, Approximation theory of operators, Xiamen University Press, 1989.

4. D. Zhou, Weighted approximation by Szász-Mirakian operators, J. Approx. Theory, 76(1994) 393-402.

5. S. G. Gal, Approximation with an arbitrary order by generalized Szász-Mirakian operators, Studia Univ. Babes-Bolyai Math., 59(1)(2014) 77-81.

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