Browsing by Author "Atakut, Cigdem"

Now showing 1 - 3 of 3

APPROXIMATION BY A GENERALIZED SZASZ TYPE OPERATOR FOR FUNCTIONS OF TWO VARIABLES
(2014) Cetin, Nursel; Serenbay, Sevilay Kirci; Atakut, Cigdem
In the present paper, we define a new Szasz-Mirakjan type operator in exponential weighted spaces for functions of two variables having exponential growth at infinity using a method given by Jakimovski-Leviatan. This operator is a generalization of two variables of an operator defined by A. Ciupa [1]. In this study, we investigate approximation properties and also estimate the rate of convergence for this new operator.
Approximation Properties of Baskakov-Balazs Type Operators for Functions of Two Variables
(2015) Atakut, Cigdem; Buyukyazici, Ibrahim; Serenbay, Sevilay K.; ABF-5851-2020
In this paper, we study Baskakov type positive operators in polynomial weighted spaces of functions of two variables. We obtain some well known operators by using our operators which are special cases of them. We give theorems on approximation, on the degrees of approximations of functions and the Vornovskaya type theorem for these operators. Finally, we present an open problem concerning the q analogue of these operators.
The generalized Baskakov type operators
(2014) Serenbay, Sevilay Kirci; Atakut, Cigdem; Buyukyazici, Ibrahim
The use of Baskakov type operators is difficult for numerical calculation because these operators include infinite series. Do the operators expressed as a finite sum provide the approximation properties? Furthermore, are they appropriate for numerical calculation? In this paper, in connection with these questions, we define a new family of linear positive operators including finite sum by using the Baskakov type operators. We also give some numerical results in order to compare Baskakov type operators with this new defined operator. (C) 2013 Elsevier B.V. All rights reserved.