Approximation properties of semi-exponential Szász-Mirakyan-Kantorovich operators

Abstract

In the present paper, we deal with the approximation properties of semi-exponential Sz?sz-Mirakyan-Kantorovich operators. Here, we establish the relation between semi-exponential Sz?sz-Mirakyan operators and its Kantorovich variant. Further, we propose the modification of the Kantorovich variant so as to preserve the test functions eAx and e2Ax and we derive the Voronovskaya-type result.