(p,q)‐Generalization of Szász–Mirakyan operators
By Tuncer Acar. 2015
153 citations recorded by the source corpus.
In this paper, we introduce new modifications of Szász–Mirakyan operators based on (p,q)‐integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to order 4. Some approximation properties of new operators are explored: the uniform convergence over bounded and unbounded intervals is established, direct approximation properties of the operators in terms of the moduli of smoothness is obtained and Voronovskaya theorem is presented. For the particular case p = 1, the previous results for q‐Sz ász–Mirakyan operators are captured. Copyright © 2015 John Wiley & Sons, Ltd.
Subfields: Applied Mathematics, Numerical Analysis, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/4753e85975c5d2b1984a3123b24045e7e4563caa
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Numerical Analysis
In Statistics and Probability
Citations in the corpus
- On a Kantorovich Variant of (p,q) -Szász-Mirakjan Operators (2015, background): “Also Acar [12] has introduced (p, q) parametric generalization of SzászMirakjan operators.”