Geodesic
Approximation Results by Certain Genuine Operators of Integral Type
Kragujevac Journal of Mathematics, Tome 42 (2018) no. 3, p. 335 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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 
@article{KJM_2018_42_3_a1,
     author = {Vijay Gupta and Deepika Agrawal},
     title = {Approximation {Results} by {Certain} {Genuine} {Operators} of {Integral} {Type}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {335 },
     year = {2018},
     volume = {42},
     number = {3},
     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/