Approximation properties of Kantorovich-type modification of generalized Lupaş operators

Autor: Kariya, Shruti S., Gandhi, R. B.
Zdroj: Bollettino dell'Unione Matematica Italiana; 20240101, Issue: Preprints p1-11, 11p
Abstrakt: This article presents a Kantorovich-type modification of the generalization of Lupaş operators. We investigate the approximation properties of the defined operators. We obtain the value of operators at test functions and based on that, we prove the well-established Korovkin-type theorem. For the Local approximation properties, we use moduli of smoothness and Peter’s K - functional to prove the results on the rate of convergence. We also discuss the Voronovskaja-type theorem to study the asymptotic behavior of defined operators.
Databáze: Supplemental Index