Geodesic
Ismail-May-Kantorovich operators preserving affine functions
Filomat, Tome 36 (2022) no. 5, p. 1635

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DOI

We introduce here a modification of the Ismail-May operators, preserving affine function and estimate the order of approximation with the help of classical approach viz. the second order modulus of continuity, and the Peetre's K-functional. Further, we provide the convergence estimates for the differences of Ismail-May operators and its Kantorovich variants. In the end, the convergence of the operators have been depicted through illustrative graphics.
DOI : 10.2298/FIL2205635A
Classification : 41A25, 41A30
Keywords: Ismail-May operators, Ismail-May-Kantorovich operators, modulus of continuity, weighted approximation, difference estimates 
Gunjan Agrawal; Vijay Gupta. Ismail-May-Kantorovich operators preserving affine functions. Filomat, Tome 36 (2022) no. 5, p. 1635 . doi: 10.2298/FIL2205635A
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     title = {Ismail-May-Kantorovich operators preserving affine functions},
     journal = {Filomat},
     pages = {1635 },
     year = {2022},
     volume = {36},
     number = {5},
     doi = {10.2298/FIL2205635A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2205635A/}
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