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Approximation Properties of Certain Operators

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Moments of Linear Positive Operators and Approximation

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

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Abstract

The present chapter deals with the approximation properties of certain integral type operators. The direct results are presented for the hybrid Baskakov-Szász-Mirakyan operators, preserving some exponential type operators. The chapter consists of the study of direct results for the Post-Widder operators preserving the general test function \(e_r, r\in \mathbb {N}\). The linear combinations have been discussed for certain operators, which speed up the convergence. Also, some other direct results have been presented for the Kantorovich type operators, which have been recently discussed.

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Correspondence to Vijay Gupta .

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© 2019 The Author(s), under exclusive license to Springer Nature Switzerland AG

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Gupta, V., Rassias, M.T. (2019). Approximation Properties of Certain Operators. In: Moments of Linear Positive Operators and Approximation. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-19455-0_3

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