Geodesic
Approximation by Szász-Baskakov operators based on boas-buck-type polynomials
Filomat, Tome 36 (2022) no. 11, p. 3655

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DOI

This paper concerns with a generalization of Szász-Baskakov operators, which includes Boas-Buck-type polynomials. The convergence properties are studied in weighted space and the rate of convergence is obtained by using weighted modulus of continuity. A Voronovskaya-type theorem is investigated. Also, the theoretical results are demonstrated by choosing the particular cases of Boas-Buck-type polynomials, namely Appell polynomials, Hermite polynomials, Gould-Hopper polynomials, Laguerre polynomials and Charlier polynomials.
DOI : 10.2298/FIL2211655S
Classification : 41A25, 41A36, 47A58
Keywords: Boas-Buck-type polynomials, Weighted space, Voronovskaya-type theorem, Weighted Modulus of Continuity 
Melek Sofyalıoğlu; Kadir Kanat. Approximation by Szász-Baskakov operators based on boas-buck-type polynomials. Filomat, Tome 36 (2022) no. 11, p. 3655 . doi: 10.2298/FIL2211655S
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     title = {Approximation by {Sz\'asz-Baskakov} operators based on boas-buck-type polynomials},
     journal = {Filomat},
     pages = {3655 },
     year = {2022},
     volume = {36},
     number = {11},
     doi = {10.2298/FIL2211655S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2211655S/}
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