Yazar "Aral A." için listeleme
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Applications of q-calculus in operator theory
Aral A.; Gupta V.; Agarwal R.P. (Springer New York, 2013)The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical ... -
Approximation of Some Classes of Functions by Landau Type Operators
Agratini O.; Aral A. (Birkhauser, 2021)This paper aims to highlight a class of integral linear and positive operators of Landau type which have affine functions as fixed points. We focus to reveal approximation properties both in Lp spaces and in weighted Lp ... -
Approximation properties of Ibragimov-Gadjiev-Durrmeyer operators on Lp(R+)
We deal with the approximation properties of a new class of positive linear Durrmeyer type operators which oer a reconstruction of integral type operators including well known Durrmeyer operators. This reconstruction allows ... -
Approximation properties of Kantorovich extension of Ibragimov-Gadjiev Operators
Aral A. (2005)In this paper we deal with Kantorovich extension of Ibragimov-Gadjiev Operators. We give pointwise approximation of these operators. We also establish Voronovskaya type theorem in the polynomial weighted spaces for these ... -
Function approximation by singular integral and applications
Function approximation by convolution type singular integrals has important applications in differential and integral equations. In this paper we study general singular operators. We first develop the test conditions for ... -
Generalized Szász Durrmeyer operators
In this paper, we introduce and study a new sequence of positive linear operators acting on the spaces of continuous function on positive semi-axis. These operators are defined by means of the q-integral, which generalize ... -
A note on Baskakov-Kantorovich type operators preserving e?x
Yılmaz Ö.G.; Gupta V.; Aral A. (John Wiley and Sons Ltd, 2018)In this paper, we give a generalization of the Baskakov-Kantorovich type operators that reproduce functions e0 and e?x. We discuss uniform convergence of this generalization by means of the modulus of continuity and establish ... -
On Approximation Properties of Generalized Durrmeyer Operators
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, ... -
On Bernstein–Chlodowsky Type Operators Preserving Exponential Functions
Ozsarac F.; Aral A.; Karsli H. (Springer, 2020)In this paper, we introduce, analyze, and obtain some features of a new type of Bernstein–Chlodowsky operators using a different technique that is utilized as the classical Chlodowsky operators. These operators preserve ... -
On Bernstein–Chlodowsky Type Operators Preserving Exponential Functions
Ozsarac F.; Aral A.; Karsli H. (Springer, 2020)In this paper, we introduce, analyze, and obtain some features of a new type of Bernstein–Chlodowsky operators using a different technique that is utilized as the classical Chlodowsky operators. These operators preserve ... -
On gauss-weierstrass type integral operators
Anastassiou G.A.; Aral A. (Walter de Gruyter GmbH, 2010)In this paper, we introduce a generalization of Gauss-Weierstrass operators based on q-integers using the q-integral and we call them q-Gauss-Weierstrass integral operators. For these operators, we obtain a convergence ... -
On generalized picard integral operators
Aral A. (Springer Singapore, 2018)In the paper, we constructed a class of linear positive operators generalizing Picard integral operators which preserve the functions eµx and e2µx, µ > 0. We show that these operators are approximation processes in a ... -
On q-Baskakov type operators
In the present paper we introduce two g-analogous of the well known Baskakov operators. For the first operator we obtain convergence property on bounded interval. Then we give the montonity on the sequence of q-Baskakov ... -
Weighted approximation properties of generalized Picard operators
Yilmaz B.; Aral A.; Başcanbaz-Tunca G. (2011)In this work, we continue the study of generalized Picard operator P?,? ([2]) depending on nonisotropic ?-distance, in the direction of weighted approximation process. For this purpose, we first define weighted n-dimensional ...
