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Korovkin type theorem for non‐tensor Balázs type Bleimann, Butzer and Hahn operators
Author(s) -
Özarslan Mehmet Ali,
Aktuğlu Hüseyin
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3204
Subject(s) - mathematics , type (biology) , moment tensor , convergence (economics) , tensor (intrinsic definition) , pure mathematics , mathematical analysis , physics , ecology , deformation (meteorology) , meteorology , economics , biology , economic growth
In this paper, we prove a certain Korovkin type approximation theorem by introducing new test functions. We introduce the non‐tensor Balázs type Bleimann, Butzer and Hahn operators and give the approximation property by using this new Korovkin theorem. Furthermore, we obtain the rate of convergence of these operators by means of modulus of continuity. Finally, we state the multivariate version of the abovementioned Korovkin type theorem. Copyright © 2014 John Wiley & Sons, Ltd.