Approxımatıon Propertıes Of Lınear Posıtıve Operators Includıng Generatıng Functıons


Institution Of The Thesis: Gazi University, Turkey

Approval Date: 2019

Thesis Language: Turkish

Student: Gözde Yurtsever

Consultant: OGÜN DOĞRU

Abstract:

Our thesis is composed of four parts. In the first part, the introduction part is given. In the second part, basic definition about positive linear operators is given. In the third chapter; on linear positive operators involving a certain class of generating functions are given and the approximation properties of these operators are examined. Specifically, the derivatives of these operators are obtained via binomial coefficients and divided differences. A Voronowskaja type theorem is also given for these operators. In the last chapter; results are given.