Geodesic
Durrmeyer-type generalization of µ-Bernstein operators
Filomat, Tome 36 (2022) no. 1, p. 349

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DOI

In the present manuscript, we consider µ-Bernstein-Durrmeyer operators involving a strictly positive continuous function. Firstly, we prove a Voronovskaja type, quantitative Voronovskaja type and Grüss-Voronovskaja type asymptotic formula, the rate of convergence by means of the modulus of continuity and for functions in a Lipschitz type space. Finally, we show that the numerical examples which describe the validity of the theoretical example and the effectiveness of the defined operators
DOI : 10.2298/FIL2201349K
Classification : 26A15, 41A25, 41A35
Keywords: Positive Approximation, Steklov mean 
Arun Kajla; S A Mohiuddine; Abdullah Alotaibi. Durrmeyer-type generalization of µ-Bernstein operators. Filomat, Tome 36 (2022) no. 1, p. 349 . doi: 10.2298/FIL2201349K
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     title = {Durrmeyer-type generalization of {{\textmu}-Bernstein} operators},
     journal = {Filomat},
     pages = {349 },
     year = {2022},
     volume = {36},
     number = {1},
     doi = {10.2298/FIL2201349K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2201349K/}
}
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