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    Reconstruction Of Two Approximation Processes In Order To Reproduce eax And e2ax, a > 0
    (Element D.O.O., 2021) Yilmaz, Başar; Uysal, Gümrah; Aral, Ali
    We propose two modifications for Gauss-Weierstrass operators and moment-type operators which fix eax and e2ax with a>0. First, we present moment identities for new operators. Then, we discuss weighted approximation and prove Voronovskaya-type theorems for them in exponentially weighted spaces. Using modulus of continuity in exponentially weighted spaces, we obtain some global smoothness preservation properties. We give a comparison result for Gauss-Weierstrass operators. Finally, we provide some graphical illustrations that show that modified operators perform better than classical ones. © 2021,Journal of Mathematical Inequalities. All rights reserved.