On the Approximation by Stancu-Type Bivariate Jakimovski–Leviatan–Durrmeyer Operators

This paper deals with bivariate Stancu-type generalization of Jakimovski–Leviatan–Durrmeyer (JLD) operators in the approximation theory. Korovkin-type approximation properties of modified operators are also examined. Rate of convergence of these operators are investigated by means of the full and pa...

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Vydané v:La matematica Ročník 3; číslo 1; s. 211 - 233
Hlavní autori: Karateke, Seda, Zontul, Metin, Mishra, Vishnu Narayan, Gairola, Asha Ram
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York Springer US 01.03.2024
Predmet:
Mathematics
Mathematics and Statistics
Original Research Article
Matplotlib
SciPy
Partial modulus of continuity
Soft computing
Jakimovski–Leviatan–Durrmeyer (JLD) operators
NumPy
Bivariate linear and positive operators
41A25
41A36
Stancu-type operators
41A10
Tensor products
SymPy
Python
ISSN:2730-9657, 2730-9657
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Shrnutí:This paper deals with bivariate Stancu-type generalization of Jakimovski–Leviatan–Durrmeyer (JLD) operators in the approximation theory. Korovkin-type approximation properties of modified operators are also examined. Rate of convergence of these operators are investigated by means of the full and partial modulus of continuity. Further, weighted approximation properties of these operators are established. Some numerical applications will be also given to show the efficiency of this method.
ISSN:2730-9657
2730-9657
DOI:10.1007/s44007-023-00083-w