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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 BASKAKOV OPERATORS PRESERVING THE EXPONENTIAL FUNCTION
    (Publishing House of the Romanian Academy, 2017) Yilmaz, Övgü Gürel; Gupta, Vijay; Aral, Ali
    In this paper, we are concerned about the King-type Baskakov operators defined by means of the preserving functions e0 and e2ax, a > 0 fixed. Using the modulus of continuity, we show the uniform convergence of the new operators to f. Also, by analyzing the asymptotic behavior of King-type operators with a Voronovskaya-type theorem, we establish shape preserving properties using the generalized convexity. © 2017, Publishing House of the Romanian Academy. All rights reserved.
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    ON SZÁSZ-MIRAKYAN TYPE OPERATORS PRESERVING POLYNOMIALS
    (Publishing House of the Romanian Academy, 2017) Yilmaz, Övgü Gürel; Aral, Ali; Yeşildal, Fatma Taşdelen
    In this paper, a modification of Szász-Mirakyan operators is studied [1] which generalizes the Szász-Mirakyan operators with the property that the linear combination e2 + ?e1 of the Korovkin’s test functions e1 and e2 are repro-duced for ? ? 0. After providing some computational results, shape preserving properties of mentioned operators are obtained. Moreover, some estimations for the rate of convergence of these operators by using different type modulus of continuity are shown. Furthermore, a Voronovskaya-type formula and an approximation result for derivative of operators are calculated. © 2017, Publishing House of the Romanian Academy. All rights reserved.