Open AccessApproximation by using the Meyer-König and Zeller operators based on (p,q)-analogue
Author(s) -
Uğur Kadak,
Asif Khan,
M. Mursaleen
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2111767k
Subject(s) - mathematics , generalization , operator (biology) , type (biology) , linear operators , operator theory , convergence (economics) , discrete mathematics , pure mathematics , algebra over a field , mathematical analysis , ecology , biochemistry , chemistry , repressor , biology , transcription factor , bounded function , gene , economics , economic growth
In this paper, a generalization of the q-Meyer-K?nig and Zeller operators by means of the (p,q)- calculus is introduced. Some approximation results for (p,q)-analogue of Meyer-K?nig and Zeller operators denoted by Mn,p,q for 0 < q < p ? 1 are obtained. Also we investigate classical and statistical versions of Korovkin type approximation results based on proposed operator. Furthermore, some graphical examples for convergence of the operators are presented.