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    Approximation by baskakov-szász-stancu operators preserving exponential functions
    (Selcuk University, 2018) Bodur, Murat; Yilmaz, Övgü Gürel; Aral, Ali
    The purpose of this paper is to construct a general class of operators which has known Baskakov- Szász-Stancu that preserving constant and e2ax; a > 0 functions. We scrutinize a uniform convergence result and analyze the asymptotic behavior of our operators, as well. Finally, we discuss the convergence of corresponding sequences in exponential weighted spaces and make a comparison about which one approximates better between classical Baskakov-Szász-Stancu operators and the recent operators. © 2018 Selcuk University. All right reserved.
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    Öğe
    On Approximation Properties of Baskakov-Schurer-Szasz Operators Preserving Exponential Functions
    (Univ Nis, Fac Sci Math, 2018) Yilmaz, Ovgu Gurel; Bodur, Murat; Aral, Ali
    The goal of this paper is to construct a general class of operators which has known BaskakovSchurer-Szasz that preserving constant and e(2ax), a > 0 functions. Also, we demonstrate the fact that for these operators, moments can be obtained using the concept of moment generating function. Furthermore, we investigate a uniform convergence result and a quantitative estimate in consideration of given operator, as well. Finally, we discuss the convergence of corresponding sequences in exponential weighted spaces and make a comparison about which one approximates better between classical Baskakov-Schurer-Szasz operators and the recent sequence, too.