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...

Full description

Saved in:
Bibliographic Details
Published in:La matematica Vol. 3; no. 1; pp. 211 - 233
Main Authors: Karateke, Seda, Zontul, Metin, Mishra, Vishnu Narayan, Gairola, Asha Ram
Format: Journal Article
Language:English
Published: New York Springer US 01.03.2024
Subjects:
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
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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