Eğitim Bilimleri Fakültesi / Faculty of Education

Permanent URI for this collectionhttps://hdl.handle.net/11727/2116

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Author: search.filters.author.Dalmanoglu, Ozge

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    Approximation by Chlodowsky Type Q-Jakimovski-Leviatan Operators
    (2016) Dalmanoglu, Ozge; Serenbay, Sevilay Kirci; ABF-5851-2020
    This paper deals with the Chlodowsky type q-Jakimovski-Leviatan operators. We first establish approximation properties and rate of convergence results for these operators. Our main purpose is to give a theorem on the rate of convergence of the rth q-derivative of the operators.
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    Rate of Convergence for Generalized Szasz-Mirakyan Operators in Exponential Weighted Space
    (2017) Serenbay, Sevilay Kirci; Dalmanoglu, Ozge; ABF-5851-2020
    In the present paper, generalized Szasz-Mirakyan operators in exponential weighted space of functions of one variable are introduced. Using a method given by Rempulska and Walczak, some theorems on the degree of approximation are investigated. Furthermore, a numerical example with an illustrative graphic is given to show comparison for the error estimates of the operators.
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    Approximation Theorems for Kantorovich Type Favard-Szasz Operators Based on q-Integers
    (2017) Dalmanoglu, Ozge; Serenbay, Sevilay Kirci; ABF-5851-2020
    In this paper we introduce the q-analogue of Kantorovich generalization of Favard-Szasz type operators and investigate their approximation properties. We first give basic convergence results by using Korovkin's Theorem and then estimate the rate of convergence by using modulus of continuity. We also give a local approximation theorem and study weighted approximation properties of these new operators.
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    ON CONVERGENCE PROPERTIES OF GAMMA-STANCU OPERATORS BASED ON q-INTEGERS
    (2016) Dalmanoglu, Ozge; Orkcu, Mediha
    In this paper we introduce Stancu type generalization of Gamma operators based on the concept of q-integers. We first establish local approximation theorems for these operators. Next, we investigate the weighted approximation properties and give an estimate for the rate of convergence using classical modulus of continuity. Lastly, we obtain a Voronovskaya type theorem.