Direct and inverse theorems for the Bézier variant of certain summation-integral type operators

Authors : Asha Ram Gairola, P. N. Agrawal

Pages : 221-234

View : 15 | Download : 12

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :Recently, the Bézier variant of some well known operators were introduced (cf. [8]-[9]) and their rates of convergence for bounded variation functions have been investigated (cf. [2], [10]). In this paper we establish direct and inverse theorems for the Bézier variant of the operators Mn introduced in [5] in terms of Ditzian-Totik modulus of smoothness wj\lambda(f,t) (0 \leqslant l \leqslant1 ). These operators include the well known Baskakov-Durrmeyer and Szász-Durrmeyer type operators as special cases.
Keywords : Degree of approximation, Ditzian-Totik modulus of continuity.