
doi: 10.1002/mma.3650
In this study, we introduce the Durrmeyer type Jakimoski–Leviatan operators and examine their approximation properties. We study the local approximation properties of these operators. Further, we investigate the convergence of these operators in a weighted space of functions and obtain the approximation properties. Furthermore, we give a Voronovskaja type theorem for the our new operators. Copyright © 2015 John Wiley & Sons, Ltd.
Approximation by positive operators, Rate of convergence, degree of approximation, weighted space, Voronovskaja type theorem, Durrmeyer-type Jakimovski-Leviatan operators, local approximation
Approximation by positive operators, Rate of convergence, degree of approximation, weighted space, Voronovskaja type theorem, Durrmeyer-type Jakimovski-Leviatan operators, local approximation
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