Geodesic
Summation-Integral Type Operators Based on Lupaş-Jain Functions
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 2, p. 309 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We introduce a genuine summation-integral type operators based on Lupaş-Jain type base functions related to the unbounded sequences. We investigated their degree of approximation in terms of modulus of continuity and $\mathcal{K}$-functional for the functions from bounded and continuous functions space. Furthermore, we give some theorems for the local approximation properties of functions belonging to Lipschitz class. Also, we give Voronovskaja theorem for these operators.
Classification : 41A10 41A25, 41A36
Keywords: Lupaş-Jain functions, summation-integral type operators, moduli of continuity, $\mathcalK$-functional, Voronovskaja theorem 
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     author = {Nesibe Manav and Nurhayat Ispir},
     title = {Summation-Integral {Type} {Operators} {Based} on {Lupa\c{s}-Jain} {Functions}},
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Nesibe Manav; Nurhayat Ispir. Summation-Integral Type Operators Based on Lupaş-Jain Functions. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 2, p. 309 . http://geodesic.mathdoc.fr/item/KJM_2021_45_2_a12/