Geodesic
Some approximation properties of the parametric generalization of Bleimann-Butzer-Hahn operators
Filomat, Tome 37 (2023) no. 14, p. 4703

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DOI

The present paper deals with a new generalization of Bleimann-Butzer-Hahn operators that depends on a real non-negative parameter α and is therefore called the α-Bleimann-Butzer-Hahn operators. We examined the uniform convergence of the newly defined operators with the help of the Korovkin type approximation theorem. The rate of convergence is investigated by means of the modulus of continuity and by Lipschitz type maximal functions. A Voronovskaya type theorem is also obtained and lastly graphical examples are given in order to illustrate the convergence of the operators to the given functions.
DOI : 10.2298/FIL2314703D
Classification : 41A25, 41A29, 41A30
Keywords: Bleimann-Butzer-Hahn operator, rate of convergence, Voronovskaya theorem 
Özge Dalmanoğlua. Some approximation properties of the parametric generalization of Bleimann-Butzer-Hahn operators. Filomat, Tome 37 (2023) no. 14, p. 4703 . doi: 10.2298/FIL2314703D
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     title = {Some approximation properties of the parametric generalization of {Bleimann-Butzer-Hahn} operators},
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     doi = {10.2298/FIL2314703D},
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