Geodesic
Approximation Results by Certain Genuine Operators of Integral Type
Kragujevac Journal of Mathematics, Tome 42 (2018) no. 3, p. 335

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

In the present article we propose genuine Lupaş-Beta operators of integral type. We establish quantitative asymptotic formula and a direct estimate in terms of second order modulus of continuity. Finally we consider the Bézier variant and obtain the rate of convergence for functions having derivatives of BV.
Classification : 41A25 41A30
Keywords: Moments, factorial polynomials, Beta basis function, direct estimates, weighted modulus of continuity, $K$-functionals, bounded variation 
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     author = {Vijay Gupta and Deepika Agrawal},
     title = {Approximation {Results} by {Certain} {Genuine} {Operators} of {Integral} {Type}},
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     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2018_42_3_a1/}
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Vijay Gupta; Deepika Agrawal. Approximation Results by Certain Genuine Operators of Integral Type. Kragujevac Journal of Mathematics, Tome 42 (2018) no. 3, p. 335 . http://geodesic.mathdoc.fr/item/KJM_2018_42_3_a1/