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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
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On a composition of Ismail–May operator

Mathematical Methods in the Applied Sciences
In this paper, we address a discrete operator based on the composition of Ismail–May operator and Szász–Mirakjan operator and study its approximation properties for various classes of continuous functions using Taylor's formula. We estimate its moments and further give direct theorems employing Peetre's K‐functional and the modulus of continuity ...
Vijay Gupta, Vaibhav Sharma
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