期刊文献+

Approximation Properties by q-Durrmeyer-Stancu Operators

Approximation Properties by q-Durrmeyer-Stancu Operators
下载PDF
导出
摘要 In this paper, we are dealing with q-Bemstein-Durrmeyer-Stancu operators. Firstly, we have estimated moments of these operators. Then we have discussed some approximation properties and asymptotic formulas. We have obtained better estimations by using King type approach and given statistical convergence for the operators. In this paper, we are dealing with q-Bemstein-Durrmeyer-Stancu operators. Firstly, we have estimated moments of these operators. Then we have discussed some approximation properties and asymptotic formulas. We have obtained better estimations by using King type approach and given statistical convergence for the operators.
出处 《Analysis in Theory and Applications》 2013年第4期373-383,共11页 分析理论与应用(英文刊)
关键词 q-Durrmeyer operator q-Jackson integral q-Beta function q-Durrmeyer operator, q-Jackson integral, q-Beta function
  • 相关文献

参考文献1

二级参考文献12

  • 1Fridy, J. A., On Statistical Convergence, Analysis, 5(1985), 301-313.
  • 2Bleimann, G., Butzer, E L. and Hahn, L., A Bernstein-type Operator Approximating Continuous Functions on the Semi Axis, Proc. Netherl. Acad. Sci. A 83, Indag. Math., 42(1980), 255-262.
  • 3Kirov, G. and Popova, L., A Generalization of Linear Positive Operators, Math Balkanica, 7:149-62 (1993).
  • 4Fast, H., Sur la Convergence Statistique, Colloq. Math., 2 (1951), 241-244.
  • 5Lorentz, G. G., Berstein Polynomials, Mathematical Expositions, Vol. 8 University of Toronto Press:Toronto, 1953.
  • 6Ozarslan, M. A. and Duman, O., Approximation Theorems by Meyer-Konig and Zeller type Operators, Chaos Solitons and Fractals, in press.
  • 7Phillips, Bernstein Polynomials Based on q-integers, Annals of Numerical Mathematics, 4:511-518 (1997).
  • 8Duman, O. and Orhan, C., Statistical Approximation by Positve Linear Operators, Studia Math., 161:2(2006), 187-197.
  • 9Duman, O. and Ostrovska, S., Convergence of Generalized Bernstein Polynomials, J Approximation Theory, 116:1(2002), 100-112.
  • 10Ernst, T., The History of q-calculus and a New Method, U.U.D.M. Report 2000, 16, Uppsala, Departament of Mathematics, Uppsala University (2000).

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部