Geodesic
Approximation by Bernstein-Kantorovich type operators based on beta function
Filomat, Tome 37 (2023) no. 30, p. 10445

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DOI

With the idea taken from the King type operators which preserve some test functions, we introduce here some Durrmeyer variants of Bernstein operators based on Beta functions. Some direct approximation theorems are provided of this introduced sequence of operators. We also proved Voronovkaja type theorem. Furthermore, graphical and numerical examples are also given with the help of MATLAB.
DOI : 10.2298/FIL2330445A
Classification : 41A10, 41A25, 41A36
Keywords: and phrases: Bernstein operators, Beta function, Modulus of continuity, Voronovskaya type theorem 
Lahsen Aharouch; Khursheed J Ansari. Approximation by Bernstein-Kantorovich type operators based on beta function. Filomat, Tome 37 (2023) no. 30, p. 10445 . doi: 10.2298/FIL2330445A
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     author = {Lahsen Aharouch and Khursheed J Ansari},
     title = {Approximation by {Bernstein-Kantorovich} type operators based on beta function},
     journal = {Filomat},
     pages = {10445 },
     year = {2023},
     volume = {37},
     number = {30},
     doi = {10.2298/FIL2330445A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2330445A/}
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