@article { author = {Acar, Ecem and Karahan, Done and Kirci Serenbay, Sevilay}, title = {Approximation for the Bernstein operator of max-product kind in symmetric range}, journal = {Khayyam Journal of Mathematics}, volume = {6}, number = {2}, pages = {257-273}, year = {2020}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {10.22034/kjm.2020.109823}, abstract = {In 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.}, keywords = {Max-product,degree of approximation,symmetric range,shape-preserving properties}, url = {https://www.kjm-math.org/article_109823.html}, eprint = {https://www.kjm-math.org/article_109823_a7fe73d3f8242f905b067eb48196f51c.pdf} }