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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Veröffentlicht in:La matematica Jg. 3; H. 1; S. 211 - 233
Hauptverfasser: Karateke, Seda, Zontul, Metin, Mishra, Vishnu Narayan, Gairola, Asha Ram
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Springer US 01.03.2024
Schlagworte:
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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Abstract 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.
AbstractList 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.
Author Zontul, Metin
Mishra, Vishnu Narayan
Gairola, Asha Ram
Karateke, Seda
Author_xml – sequence: 1
  givenname: Seda
  orcidid: 0000-0003-1219-0115
  surname: Karateke
  fullname: Karateke, Seda
  email: sedakarateke@aydin.edu.tr, sedakarateke34@gmail.com
  organization: Department of Computer Engineering, Faculty of Engineering, Istanbul Aydin University
– sequence: 2
  givenname: Metin
  surname: Zontul
  fullname: Zontul, Metin
  organization: Department of Computer Engineering, Faculty of Engineering and Natural Sciences, Sivas University of Science and Technology
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  givenname: Vishnu Narayan
  surname: Mishra
  fullname: Mishra, Vishnu Narayan
  organization: Department of Mathematics, Indira Gandhi National Tribal University
– sequence: 4
  givenname: Asha Ram
  surname: Gairola
  fullname: Gairola, Asha Ram
  organization: Department of Mathematics, Doon University
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Cites_doi 10.1186/s13660-018-1862-0
10.1007/BF02829690
10.1515/9783110884586
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Issue 1
Keywords 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
Language English
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Snippet This paper deals with bivariate Stancu-type generalization of Jakimovski–Leviatan–Durrmeyer (JLD) operators in the approximation theory. Korovkin-type...
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SubjectTerms Mathematics
Mathematics and Statistics
Original Research Article
Title On the Approximation by Stancu-Type Bivariate Jakimovski–Leviatan–Durrmeyer Operators
URI https://link.springer.com/article/10.1007/s44007-023-00083-w
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