MATEMATIČKI VESNIK Vol. 70, No. 1, pp. 40–54 (2018) 

Blending type approximation by BernsteinDurrmeyer type operatorsA. Kajla and M. GoyalAbstract: In this note, we introduce the Durrmeyer variant of Stancu operators that preserve the constant functions depending on nonnegative parameters. We give a global approximation theorem in terms of the DitzianTotik modulus of smoothness, a Voronovskaja type theorem and a local approximation theorem by means of second order modulus of continuity. Also, we obtain the rate of approximation for absolutely continuous functions having a derivative equivalent with a function of bounded variation. Lastly, we compare the rate of approximation of the StancuDurrmeyer operators and genuine BernsteinDurrmeyer operators to certain function by illustrative graphics with the help of the Mathematica software. Keywords: Stancu operators; global approximation; rate of convergence; modulus of continuity; Steklov mean. Classification (MSC2000): 41A25; 26A15 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 16 Dec 2017. This page was last modified: 11 Mai 2018.
© 2017 Mathematical Society of Serbia (Društvo matematičara Srbije)
