Agratini, OctavianAral, AliDeniz, Emre2020-06-252020-06-252017closedAccess1385-12921572-9281https://doi.org/10.1007/s11117-016-0460-yhttps://hdl.handle.net/20.500.12587/6903Agratini, Octavian/0000-0002-2406-4274; Deniz, Emre/0000-0003-0546-4229The paper aims to study two classes of linear positive operators representing modifications of Picard and Gauss operators. The new operators reproduce both constants and a given exponential function. Approximation properties in polynomial weighted spaces are investigated and the speed of convergence is measured using a certain weighted modulus of smoothness. Also, the asymptotic behavior of the integral operators are established. Finally, aspects on generalized convexity are analyzed.eninfo:eu-repo/semantics/closedAccessLinear positive operatorPicard operatorGauss operatorWeighted spaceVoronovskaja formulaArticle2131189119910.1007/s11117-016-0460-y2-s2.0-85001076432Q2WOS:000408222400023Q2