Abstract
In this paper, we will derive some Steckin-Marchard-type inequalities for Bernstein-Durrmeyer and Szasz-Durrmeyer operators.
Similar content being viewed by others
References
Erich Van Wicken, Stekin-Marchard Type Inequalities in Connection with Bernstein Polynomials, Contructive Approximation, 2(1986), 331-337.
Heilmann, M., Direct and Converse Results for Operators of Baskakov-Durrmeyer Type, J. Approx. Theory & its Appl., 5:1, Mar. 1989, 105-127.
Heilmann, M. and Muller, Direct and Converse Results on Weighted Simultaneous Approximation by the Method of Operators of Baskakov-Durrmeyer Type, Results in Mathematics, 16 (1989), 228-242.
Ditzian, Z. and Ivanov, K. G., Bernstein-type Operators and their Derivatives, J. Approx. Theory, 56(1989), 72-90.
Felten, M., Local and Global Approximation Theorems for Positive Linear Operators, J. Approx. Theory, 94(1998), 396-419.
Guo, S., Li, C. and Sun, Y. etc, Pointwise Estimate for Szasz-type, J. Approx. Theory, 94 (1998), 160-171.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Shunsheng, G., Cuixiang, L. & Qiulan, Q. Steckin-Marchard-Type Inequalities for Some Durrmeyer Operators. Analysis in Theory and Applications 17, 28–31 (2001). https://doi.org/10.1023/A:1015545627728
Issue Date:
DOI: https://doi.org/10.1023/A:1015545627728