Yazar "Ari, Didem Aydin" seçeneğine göre listele

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    Approximation by a complex q-Baskakov-Stancu operator in compact disks
    (Springeropen, 2014) Ozden, Dilek Soylemez; Ari, Didem Aydin
    In this paper, we consider a complex q-Baskakov-Stancu operator and study some approximation properties. We give a quantitative estimate of the convergence, Voronovskaja-type result and exact order of approximation in compact disks.
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    Approximation by a Generalization of the Jakimovski-Leviatan Operators
    (Univ Nis, Fac Sci Math, 2019) Ari, Didem Aydin; Serenbay, Sevilay Kirci
    In this paper, we introduce a Kantorovich type generalization of Jakimovski-Leviatan operators constructed by A. Jakimovski and D. Leviatan (1969) and the theorems on convergence and the degree of convergence are established. Furthermore, we study the convergence of these operators in a weighted space of functions on [0, infinity).
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    Approximation Properties of Szasz Type Operators Involving Charlier Polynomials
    (Univ Nis, Fac Sci Math, 2017) Ari, Didem Aydin
    In this paper, we give some approximation properties of Szasz type operators involving Charlier polynomials in the polynomial weighted space and we give the quantitative Voronovskaya-type asymptotic formula.
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    A Note On Statistical Approximation Properties of Complex q-Szász- Mirakjan Operators
    (Ankara Univ, Fac Sci, 2019) Ari, Didem Aydin
    The complex q operator attached to analytic functions satisfying a suitable exponential type growth condition has been studied in [14]. In this paper, we consider the A-statistical convergence of complex q-Szasz- Mirakjan operator.
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    On Multivariate Bleimann, Butzer and Hahn Operators
    (SPRINGER BASEL AG, 2020) Soylemez, Dilek; Ari, Didem Aydin; Bascanbaz-Tunca, Gulen
    In this paper, we state a Korovkin-type theorem for uniform approximation of functions, belonging to a class generated by multivariable function of modulus of continuity, by the sequence of multivariate positive linear operators. Then, using this theorem, we investigate the corresponding uniform approximation result for the multivariate Bleimann, Butzer and Hahn operators which are not in a tensor product design. Moreover, we give an elementary proof that these operators are non-increasing in n when the attached function is convex and non-increasing and we add a graphical example.