A Dunkl-type generalization of Szász-Kantorovich operators via post-quantum calculus (Q2311027)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Dunkl-type generalization of Szász-Kantorovich operators via post-quantum calculus |
scientific article |
Statements
A Dunkl-type generalization of Szász-Kantorovich operators via post-quantum calculus (English)
0 references
10 July 2019
0 references
Summary: In this paper, we define the \((p, q)\)-variant of Szász-Kantorovich operators via Dunkl-type generalization generated by an exponential function and study the Korovkin-type results. We also obtain the convergence of our operators in weighted space by the modulus of continuity, Lipschitz class, and Peetre's K-functionals. The extra parameter \(p\) provides more flexibility in approximation and plays an important role in symmetrizing these newly-defined operators.
0 references
\((p, q)\)-integers
0 references
Dunkl analogue
0 references
generating functions
0 references
generalization of exponential function
0 references
Szász operator
0 references
modulus of continuity
0 references
0 references
0 references
0 references
0 references
0 references
