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On the preservation of functions with exponential growth by modified Ismail–May operators
Mathematical Methods in the Applied Sciences, 2021 In this study, our aim is to provide a modification of the so‐called Ismail–May operators that preserve exponential functions . In support of this, we begin by estimating the convergence rate of the operators in terms of usual and exponential modulus of continuity. We also provide a global approximation and a quantitative Voronovskaya result. Moreover,
Nav Shakti Mishra, Naokant Deo
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Kantorovich Variant of Ismail–May Operators
Iranian Journal of Science and Technology, Transactions A: Science, 2020 The prime objective of this paper is to construct the Kantorovich variant of Ismail–May operators depending on a non-negative parameter $$\lambda $$. We estimate the rate of convergence of the proposed operators for functions in Lipschitz-type space. Further, an improved quantitative Voronovskaya-type estimate in terms of the second-order modulus of ...
Nav Shakti Mishra, Naokant Deo
openaire +2 more sources
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