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Approximation properties of Durrmeyer-variant of Lupaş type operators

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Abstract

In the given note, we present the Durrmeyer modification of Lupaş type operators having Pochhammer \(k-\)symbol. We study convergence, asymptotic result and error of approximation in terms of first order modulus of continuity for these operators. Also, we estimate the approximation behavior of these operators in two variables in terms of complete and partial modulus of continuity. At last, we unveil some numerical examples with graphs to verify our results.

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Acknowledgements

"The first author is thankful to the "University Grants Commission (UGC) (1001/(CSIR-UGC NET DEC. 2017))" India and DST-FIST (grant SR/FST/MS-1/2017/13) for financial support to carry out the above research work".

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Correspondence to Jaspreet Kaur.

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Kaur, J., Goyal, M. Approximation properties of Durrmeyer-variant of Lupaş type operators. Ann Univ Ferrara 69, 329–347 (2023). https://doi.org/10.1007/s11565-022-00434-5

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