In this chapter, we examine the distinctions between linear positive operators’ approximation properties. In this article, we have talked about quantitative estimates for the differences between Baskakov operators and several Baskakov variants, such as Baskakov with Baskakov-Szasz and Baskakov-Durrmeyer operators. Additionally, the distinctive qualities of the Baskakov-Szasz and Baskakov-Durrmeyer operators have been given. In the end, we define the weighted modulus of smoothness as the quantitative estimate for these operators.

Author(s) Details:

Prerna Sharma,
Department of Basic Science, Sardar Vallabh Bhai Patel University of Agriculture and Technology, Meerut (UP), India.

Diwaker Sharma,
Modern Academy Group of Institutions, Modinagar, (U.P.), India.

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Keywords: Difference of operators, linear positive operators, modulus of continuity, approximation theory, baskakov-operators

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