Approximation Properties andq-Statistical Convergence of Stancu-Type Generalized Baskakov-Szász Operators

Author:

Cai Qing-Bo1ORCID,Kilicman Adem2ORCID,Ayman Mursaleen Mohammad23ORCID

Affiliation:

1. Fujian Provincial Key Laboratory of Data-Intensive Computing, Key Laboratory of Intelligent Computing and Information Processing, School of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, China

2. Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia

3. School of Information and Physical Sciences, The University of Newcastle, Callaghan, NSW 2308, Australia

Abstract

In this article, we introduce Stancu-type modification of generalized Baskakov-Szász operators. We obtain recurrence relations to calculate moments for these new operators. We study several approximation properties andq-statistical approximation for these operators.

Funder

Program for New Century Excellent Talents in Fujian Province University

Publisher

Hindawi Limited

Subject

Analysis

Reference18 articles.

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2. Generalization of S. Bernstein's polynomials to the infinite interval;O. Szász;Journal of Research of the National Bureau of Standards,1950

3. Approximation of continuous functions with the aid of polynomials (Russian);G. M. Mirakjan;Doklady Akademii Nauk SSSR,1941

4. Sur certains développements suivant les polynômes de la forme de S;L. V. Kantorovich;Comptes Rendus de l’Academie des Sciences de l’URSSR,1930

5. Une formule d’ inversion de la Transformee de Laplace;J. L. Durrmeyer,1967

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