Department of Mathematics, Faculty of Science, Gazi University, Turkey
10.22034/kjm.2023.357068.2641
Abstract
Using maximum instead of sum, nonlinear Bleimann-Butzer-Hahn operator of maximum product kind was introduced. The present paper deals with the approximation processes for this operator. In a previous study, it was indicated that the order of approximation of this operator to the function f under the modulus is $((x+1)^{(3/2)}√x)/(√n)$ and it could not be improved except for some subclasses of functions. Contrary to this claim, under some special conditions, we will show that a better order of approximation can be obtained with the help of classical and weighted modulus of continuities.
Cit, S., & Doğru, O. (2023). On better approximation order for the nonlinear Bleimann-Butzer-Hahn operator of maximum product kind. Khayyam Journal of Mathematics, 9(2), 225-245. doi: 10.22034/kjm.2023.357068.2641
MLA
Sezin Cit; Ogun Doğru. "On better approximation order for the nonlinear Bleimann-Butzer-Hahn operator of maximum product kind". Khayyam Journal of Mathematics, 9, 2, 2023, 225-245. doi: 10.22034/kjm.2023.357068.2641
HARVARD
Cit, S., Doğru, O. (2023). 'On better approximation order for the nonlinear Bleimann-Butzer-Hahn operator of maximum product kind', Khayyam Journal of Mathematics, 9(2), pp. 225-245. doi: 10.22034/kjm.2023.357068.2641
VANCOUVER
Cit, S., Doğru, O. On better approximation order for the nonlinear Bleimann-Butzer-Hahn operator of maximum product kind. Khayyam Journal of Mathematics, 2023; 9(2): 225-245. doi: 10.22034/kjm.2023.357068.2641
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