Abstract
The main objective of this paper is to construct a new sequence of operators involving Apostol-Genocchi polynomials based on certain parameters. We investigate the rate of convergence of the operators given in this paper using second-order modulus of continuity and Voronovskaja type approximation theorem. Moreover, we find weighted approximation result of the given operators. Finally, we derive the Kantorovich variant of the given operators and discussed the approximation results.
Acknowledgement
The authors would like to thank the referee and editors for their many valuable comments and suggestions to improve the overall presentation of paper.
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(Communicated by Gregor Dolinar)
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