Geodesic
Approximation results for Beta Jakimovski-Leviatan type operators via q-analogue
Filomat, Tome 37 (2023) no. 24, p. 8389

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DOI

We construct a new version of q-Jakimovski-Leviatan type integral operators and show that set of all continuous functions f defined on [0, ∞) are uniformly approximated by our new operators. Finally we construct the Stancu type operators and obtain approximation properties in weighted spaces. Moreover, with the aid of modulus of continuity we discuss the rate of convergence, Lipschitz type maximal approximation and some direct theorems.
DOI : 10.2298/FIL2324389N
Classification : 41A25, 41A36, 33C45
Keywords: Appell polynomials, q-Appell polynomials, Jakimovski-Leviatan operators, Korovkin’s theorem, modulus of continuity 
Md Nasiruzzaman; Mohammed A O Tom; Stefano Serra-Capizzano; Nadeem Rao; Mohammad Ayman-Mursaleen. Approximation results for Beta Jakimovski-Leviatan type operators via q-analogue. Filomat, Tome 37 (2023) no. 24, p. 8389 . doi: 10.2298/FIL2324389N
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     author = {Md Nasiruzzaman and Mohammed A O Tom and Stefano Serra-Capizzano and Nadeem Rao and Mohammad Ayman-Mursaleen},
     title = {Approximation results for {Beta} {Jakimovski-Leviatan} type operators via q-analogue},
     journal = {Filomat},
     pages = {8389 },
     year = {2023},
     volume = {37},
     number = {24},
     doi = {10.2298/FIL2324389N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2324389N/}
}
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