Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)Khayyam Journal of Mathematics2423-47886220200701Approximation for the Bernstein operator of max-product kind in symmetric range25727310982310.22034/kjm.2020.109823ENEcemAcarDepartment of Mathematics, University of Harran, 63100, Anlurfa, TurkeyDoneKarahanDepartment of Mathematics, University of Harran, 63100, Anlurfa, TurkeySevilayKirci SerenbayDepartment of Mathematics, University of Harran, 63100, Anlurfa, Turkey.Journal Article20191120In the approximation theory, polynomials are particularly positive linear operators. Nonlinear positive operators by means of maximum and product were introduced by B. Bede. In this paper, the max-product of Bernstein operators for symmetric ranges are introduced and some upper estimates of approximation error for some subclasses of functions are obtained. Also, we investigate the shape-preserving properties.https://www.kjm-math.org/article_109823_a7fe73d3f8242f905b067eb48196f51c.pdf