ON STANCU TYPE GENERALIZATION OF LUPAȘ OPERATORS AND THEIR PROPERTIES

Authors

  • Usha Varma Gujarat Technological University Author
  • R.B.Gandhi BVM engineering College Author

Keywords:

Lupaș operators, Stancu type generalization of Lupaș operators, Construction of operators, Rate of convergence, Lipschitz type space, Voronovskaja approximation result

Abstract

In this paper, we study a modification of Stancu type generalization of Lupaș operators. It is shown by discussing many important established results for Stancu type generalization of Lupaș operators. We give approximation results by using the first modulus of continuity. We establish rate of convergence for Stancu type generalization of Lupaș operators for  and for   By introducing two parameter family of Lipschitz type space, which produces global approximation for the Stancu type generalization of Lupaș operators, we obtain results. Also, we studied Voronovskaja type theorem. Furthermore, we worked on to demonstrate the behaviour of the approximation for the defined operators by graphical presentation.

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Published

2025-02-18

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Section

Articles