Geodesic
Approximation by using the Meyer-König and Zeller operators based on (p, q)-analogue
Filomat, Tome 35 (2021) no. 11, p. 3767

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DOI

In this paper, a generalization of the q-Meyer-K ¨ onig and Zeller operators by means of the (p, q)-calculus is introduced. Some approximation results for (p, q)-analogue of Meyer-König and Zeller operators denoted by M n,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
DOI : 10.2298/FIL2111767K
Classification : 41A25, 41A36, 41A10, 41A30, 47B39, 47A58
Keywords: (p, q)-integers, statistical convergence, Korovkin type approximation theorem, linear positive operators, rate of convergence 
Uğur Kadak; Asif Khan; M Mursaleen. Approximation by using the Meyer-König and Zeller operators based on (p, q)-analogue. Filomat, Tome 35 (2021) no. 11, p. 3767 . doi: 10.2298/FIL2111767K
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     author = {U\u{g}ur Kadak and Asif Khan and M Mursaleen},
     title = {Approximation by using the {Meyer-K\"onig} and {Zeller} operators based on (p, q)-analogue},
     journal = {Filomat},
     pages = {3767 },
     year = {2021},
     volume = {35},
     number = {11},
     doi = {10.2298/FIL2111767K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2111767K/}
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