Blending-type approximation by generalized Lupaş–Durrmeyer-type operators

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Abstract

In this note, we present a Durrmeyer-type modification of generalized Lupaş operators depending on certain parameter \(\rho >0\). We establish quantitative asymptotic result, some direct results, weighted approximation and the order of convergence for the functions having a derivative equivalent with a function of bounded variation for these operators.

Keywords

Positive approximation process Rate of convergence Steklov mean Bounded variation 

Mathematics Subject Classification

26A15 40A35 41A25 

Notes

Acknowledgements

The authors wishes to thank the referee for her/his suggestions which definitely improved the final form of this paper.

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Copyright information

© Sociedad Matemática Mexicana 2018

Authors and Affiliations

  1. 1.Department of MathematicsCentral University of HaryanaHaryanaIndia
  2. 2.School of MathematicsThapar UniversityPatialaIndia

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