Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)Khayyam Journal of Mathematics2423-47889220230701On better approximation order for the nonlinear Bleimann-Butzer-Hahn operator of maximum product kind22524518272010.22034/kjm.2023.357068.2641ENSezin CitDepartment of Mathematics, Faculty of Science, Gazi University, Turkey0000-0002-2668-3730Ogun DoğruDepartment of Mathematics, Faculty of Science, Gazi University, Turkey0000-0002-2301-9957Journal Article20220820Using 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.https://www.kjm-math.org/article_182720_3c80a39e7c0882c76b04ff7e1dad977a.pdf