On a New Type of Meyer-Konig and Zeller Operators

Volume 3, Issue 4, 2002

Article 57

ON A NEW TYPE OF MEYER-KONIG AND ZELLER OPERATORS

SCHOOL OF APPLIED SCIENCES
NETAJI SUBHAS INSTITUTE OF TECHNOLOGY
AZAD HIND FAUJ MARG, SECTOR 3 DWARKA
NEW DELHI-110045 INDIA.
E-Mail: vijaygupta2001@hotmail.com

Received 21 December, 2001; Accepted 6 June, 2002.
Communicated by: R.N. Mohapatra

ABSTRACT. In this present paper, we introduce a new and simple integral modification of Meyer-Konig and Zeller Bezier type operators and study the rate of convergence for functions of bounded variation. Our result improves and corrects the results of Guo (J. Approx. Theory, 56 (1989), 245-255 ), Zeng (Comput. Math. Appl., 39 (2000), 1-13; J. Math. Anal. Appl., 219 (1998), 364-376), etc.

Key words:
Rate of convergence, Bounded variation functions, Total variation, Meyer-Konig-Zeller-Bezier operators, Beta function.

2000 Mathematics Subject Classification:
41A25, 41A30.

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