BLENDING TYPE APPROXIMATION BY BEZIER-SUMMATION-INTEGRAL TYPE OPERATORS

Abstract

In this note we construct the BÈzier variant of summation integraltype operators based on a non-negative real parameter. We present a directapproximation theorem by means of the Örst order modulus of smoothness andthe rate of convergence for absolutely continuous functions having a derivativeequivalent to a function of bounded variation. In the last section, we studythe quantitative Voronovska ja type theorem.