Bounds for Bernstein Basis Functions and Meyer]K¨onig and Zeller Basis FunctionsU

In this paper, the inequality estimates of Bernstein basis functions and Meyer]K¨onig and Zeller basis functions are studied. Exact bounds for these two basis functions are obtained. Moreover, some application results of the new estimates in estimating the rate of convergence of Durrmeyer operators and Meyer]K¨oning and Zeller operators for functions of bounded variation are also given