Akın, Lütfi

Akın, Lütfi

Name Variants

AKIN, Lutfi
AKIN, Lütfi
Akin, Lutfi

Job Title

Doç. Dr.

Main Affiliation

Department of Management / İşletme Bölümü

Status

Current Staff

Full item page

Sustainable Development Goals Report Points

SDG data could not be loaded because of an error. Please refresh the page or try again later.

Scholarly Output

29

Articles

22

Citation Count

0

Supervised Theses

0 Scholarly Output Search Results

Now showing 1 - 10 of 28

Citation - WoS: 8
Citation - Scopus: 9
On the Fractional Maximal Delta Integral Type Inequalities on Time Scales
(MDPI AG, 2020) Akın, L.; Akın, Lütfi; Department of Management / İşletme Bölümü
Time scales have been the target of work of many mathematicians for more than a quarter century. Some of these studies are of inequalities and dynamic integrals. Inequalities and fractional maximal integrals have an important place in these studies. For example, inequalities and integrals contributed to the solution of many problems in various branches of science. In this paper, we will use fractional maximal integrals to establish integral inequalities on time scales. Moreover, our findings show that inequality is valid for discrete and continuous conditions. © 2020 by the author. Licensee MDPI, Basel, Switzerland.
A Research Approximation to Generalized Riemann Derivatives by Integral Operator Families
(Mathematics and Computer Science, 2018) Akın, Lütfi; Department of Management / İşletme Bölümü
Approximation theory has very important applications of polynomial approximation in various areas of functional analysis, Harmonic analysis, Fourier analysis, application mathematic, operator theory in the field generalized derivatives and numerical solutions of differential and integral equations, etc. Integral operators is very important in Harmonic and Fourier analysis. The study of approximation theory is a well-established area of research which deals with the problem of approximating a function f by means of a sequence n L of positive linear operators. Generalized derivatives (Riemann, Peano and Taylor derivative) are more general than ordinary derivative. Approximation theory is very important for mathematical world. Nowadays, many mathematicians are working in this field.
ON TWO WEIGHT CRITERIONS FOR THE HARDY LITTLEWOOD MAXIMAL OPERATOR IN BFS
(Asian Journal of Science and Technology, 2018) Akın, Lütfi; Department of Management / İşletme Bölümü
Our aim of this paper is to prove two-weight criterions for the Hardy-Littlewood maximal operator from weighted Lebesgue spaces into Banach function spaces (BFS). We used boundedness of geometric mean operator and sufficient condition on the weights for boundedness of certain sublinear operator from weighted Lebesgue spaces into weighted Musielak-Orlicz spaces
A Characterization of Approximation of Hardy Operators in VLS
(Celal Bayar University Journal of Science, 2018) Akın, Lütfi; Department of Management / İşletme Bölümü
Variable exponent spaces and Hardy operator space have played an important role in recent harmonic analysis because they have an interesting norm including both local and global properties. The variable exponent Lebesgue spaces are of interest for their applications to modeling problems in physics, and to the study of variational integrals and partial differential equations with non-standard growth conditions. This studies also has been stimulated by problems of elasticity, fluid dynamics, calculus of variations, and differential equations with non-standard growth conditions. In this study, we will discuss a characterization of approximation of Hardy operators in variable Lebesgue spaces.
ON SOME RESULTS OF WEIGHTED HÖLDER TYPE INEQUALITY ON TIME SCALES
(2020) Akın, Lütfi; Department of Management / İşletme Bölümü
The concept of time scales has attracted the attention of mathematicians for a quarter-century. The time scales have a very important place in mathematical analysis. Many mathematicians have worked on this subject and they have achieved good results. Inequalities and dynamic equations are at the top of these studies. Inequalities and dynamic equations contributed to the solution of many problems in various branches of science. In this article, some results of weighted Hölder type inequality are presented via ... integral.
Citation - WoS: 8
A New Approach for Weighted Hardy's Operator in Vels
(Walter de Gruyter Gmbh, 2019) Akın, Lütfi; Akin, Lutfi; Dusunceli, Faruk; Düşünceli, Faruk; Department of Management / İşletme Bölümü; Department of Economics / İktisat Bölümü
A considerable number of research has been carried out on the generalized Lebesgue spaces L-p(x) and boundedness of different integral operators therein. In this study, a new approach for weighted increasing near the origin and decreasing near infinity exponent function that provides a boundedness of the Hardy's operator in variable exponent space is given.
Weak Type Estimates Of Hardy Integral Operators On Morrey Spaces With Variable Exponent Lebesgue spaces
(2019) Akın, Lütfi; Department of Management / İşletme Bölümü
We show that when the infimum of the exponent function, Hardy integral operator is a bounded operator from the Morrey space with variable exponent to the weak Morrey space with variable exponent.
COMPACTIFICATION OF WEIGHTED HARDY OPERATOR IN VARIABLE EXPONENT LEBESGUES SPACES
(Asian Journal of Mathematics and Computer Research, 2017) Akın, Lütfi; Zeren, Yusuf; AKIN, Lutfi; Department of Management / İşletme Bölümü
We study necessity and sufficiency conditions for the weighted Hardy operator   x v w H f x v x f t w t dt 0 , ( ) ( ) ( ) ( ) to be compact from Lp(.) (0, l) to Lq(.) (0,l) .
On Some Properties of Hardy- Littlewood Maximal Operators on Hardy Spaces Built upon BFS
(Gece Publishing ABD Adres/ USA Address: 387 Park Avenue South, 5th Floor, New York, 10016, USA Telefon/Phone: +1 347 355 10 70, 2019) Akın, Lütfi; Department of Management / İşletme Bölümü
Operator theory studied by very mathematicians, we refer to [1,2,3,4,5]. Compactification of weighted Hardy operator in variable exponent Lebesgue spaces has been proof by [6]. Generalized duality of some Banach function spaces has been proof by [7]. On two weight criterions for the Hardy-Littlewood maximal operator in BFS has been proven, we refer to [8]. A Characterization of Approximation of Hardy Operators in VLS has been proven by [9]. We know that it is established an integraltype necessary and sufficient condition on weights which provides the boundedness of the Hardy-Littlewood maximal operator from weighted Lebesgue spaces into p-convex weighted BFS, we refer to [11].
A Characterization of Homogeneous Fractional Hardy-Type Integrals on Variable Exponent Spaces
(Conference Proceedings of Science and Technology, 2019) Akın, Lütfi; Department of Management / İşletme Bölümü
In this study, we establish boundedness of homogeneous fractional Hardy-type integral on variable exponent spaces.