%0 Journal Article
%T On better approximation order for the nonlinear Bleimann-Butzer-Hahn operator of maximum product kind
%J Khayyam Journal of Mathematics
%I Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)
%Z 2423-4788
%A Cit, Sezin
%A Doğru, Ogun
%D 2023
%\ 07/01/2023
%V 9
%N 2
%P 225-245
%! On better approximation order for the nonlinear Bleimann-Butzer-Hahn operator of maximum product kind
%K Bleimann-Butzer-Hahn operators (BBH)
%K weighted modulus of continuity
%K nonlinear maximum product type operators
%R 10.22034/kjm.2023.357068.2641
%X 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.
%U https://www.kjm-math.org/article_182720_3c80a39e7c0882c76b04ff7e1dad977a.pdf