Yazar "Yilmaz, Basar" seçeneğine göre listele

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    A Class of Integral Operators that Fix Exponential Functions
    (Springer Basel Ag, 2021) Bardaro, Carlo; Mantellini, Ilaria; Uysal, Gumrah; Yilmaz, Basar
    In this paper we introduce a general class of integral operators that fix exponential functions, containing several recent modified operators of Gauss-Weierstrass, or Picard or moment type operators. Pointwise convergence theorems are studied, using a Korovkin-type theorem and a Voronovskaja-type formula is obtained.
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    RECONSTRUCTION OF TWO APPROXIMATION PROCESSES IN ORDER TO REPRODUCE eax AND e2ax, a > 0
    (Element, 2021) Yilmaz, Basar; Uysal, Gumrah; Aral, Ali
    We propose two modifications for Gauss-Weierstrass operators and moment-type operators which fix e(ax) and e(2ax) 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.