Yazar "Acar T." seçeneğine göre listele

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    Öğe
    Korovkin type theorems in weighted Lp-spaces via statistical A-summability
    (Universitatii Al.I.Cuza din Iasi, 2016) Orhan S.; Acar T.; Dirik F.
    In this paper, we study Korovkin type approximation theorems on weighted spaces (formula presented) and (formula presented), with help of statistical A-summability which is stronger than A -statistical convergence. Also, we construct examples such that our new approximation result works but its statistical case does not work. © 2016, Universitatii Al.I.Cuza din Iasi. All rights reserved.
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    Öğe
    On Approximation Properties of Generalized Durrmeyer Operators
    (Springer New York LLC, 2016) Aral A.; Acar T.
    The concern of this paper is to introduce new generalized Durrmeyer-type operators from which classical operators can be obtained as a particular case, inspiring from the Ibragimov–Gadjiev operators (Gadjiev and Ibragimov, Soviet Math. Dokl. 11, 1092–1095, (1970) [8]).After the construction of newDurrmeyer operators is given, we obtain some pointwise convergence theorems and Voronovskaya-type asymptotic formula for new Durrmeyer-type operators. We establish a quantitative version of the Voronovskaya-type formula with the aid of the weighted modulus of continuity. Some special cases of new operators are presented as examples. © Springer Science+Business Media Singapore 2016.
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    Öğe
    Quantitative estimates for a new complex q-Durrmeyer type operators on compact disks
    (Politechnica University of Bucharest, 2018) Kumar A.S.; Agrawal P.N.; Acar T.
    In the present article, the upper bound and Voronovskaya type result with quantitative estimate and the exact degree of approximation for a new complex q-Bernstein-Durrmeyer operators attached to analytic functions on compact disks are obtained. In this way, we put in evidence the over convergence phenomenon for the q-Bernstein-Durrmeyer polynomials, namely the extensions of approximation properties (with quantitative estimates) from real intervals to compact disks in the complex plane. © 2018 Politechnica University of Bucharest. All rights reserved.