Acar, TuncerAral, AliRasa, Ioan2020-06-252020-06-252016closedAccess0081-69061588-2896https://doi.org/10.1556/012.2016.53.3.1339https://hdl.handle.net/20.500.12587/6471Acar, Tuncer/0000-0003-0982-9459; Rasa, Ioan/0000-0002-5206-030XIn this paper, we study the k-th order Kantorovich type modication of Szasz-Mirakyan operators. We first establish explicit formulas giving the images of monomials and the moments up to order six. Using this modification, we present a quantitative Voronovskaya theorem for differentiated Szasz-Mirakyan operators in weighted spaces. The approximation properties such as rate of convergence and simultaneous approximation by the new constructions are also obtained.eninfo:eu-repo/semantics/closedAccessSzasz-Mirakyan operatorsKantorovich operatorsweighted modulus of continuityquantitative Voronovskaya theoremsimultaneous approximationArticle53337939810.1556/012.2016.53.3.13392-s2.0-84987608674Q2WOS:000385623300004Q4