Abstract

The present article deals with approximation results obtained by means of the Lipschitz maximal function, the Ditzian–Totik modulus of smoothness, and a Lipschitz-type space having two parameters for the summation-integral type operators defined by Mishra and Yadav [22]. Further, we determine the rate of convergence in terms of a derivative of bounded variation. To estimate the quantitative results of the defined operators, we establish quantitative Voronovskaya-type and Grüss-type theorems. Moreover, examples are given with graphical representation to support the main results.

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