Browsing by Author "Dirik, Fadime"

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    Deferred Nörlund statistical relative uniform convergence and Korovkin-type approximation theorem
    (Ankara Üniversitesi Fen Fakültesi, 2021-06-30) Demirci, Kamil; Dirik, Fadime; Yıldız, Sevda; Other; Other
    In this paper, we define the concept of statistical relative uniform convergence of the deferred Nörlund mean and we prove a general Korovkin-type approximation theorem by using this convergence method. As an application, we use classical Bernstein polynomials for defining an operator that satisfies our new approximation theorem but does not satisfy the theorem given before. Additionally, we estimate the rate of convergence of approximating positive linear operators by means of the modulus of continuity.
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    On the K_{a}-continuity of real functions
    (Ankara Üniversitesi Fen Fakültesi, 2020-06-30) Yıldız, Sevda; Demirci, Kamil; Dirik, Fadime; Other; Other
    The aim of the present paper is to define K_{a}-continuity which is associated to the number sequence a=(a_{n}) and to give some new results.