TY - JOUR AU - A.-M. Acu AU - H. Gonska PY - 2019/06/25 Y2 - 2024/03/29 TI - Classical Kantorovich operators revisited JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 71 IS - 6 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1472 AB - UDC 517.5 The main object of this paper is to improve some known estimates for the classical Kantorovich operators. We obtain aquantitative Voronovskaya-type result in terms of the second moduli of continuity, which improves some previous results.In order to explain the nonmultiplicativity of the Kantorovich operators, we present a Chebyshev – Gr¨uss inequality. TwoGr¨uss –Voronovskaya theorems for Kantorovich operators are also considered. ER -