İktisadi ve İdari Bilimler Fakültesi

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A Characterization of Homogeneous Fractional Hardy-Type Integrals on Variable Exponent Spaces
(Conference Proceedings of Science and Technology, 2019) Akın, Lütfi
In this study, we establish boundedness of homogeneous fractional Hardy-type integral on variable exponent spaces.
New Principles of Non-Linear Integral Inequalities on Time Scales
(Applied Mathematics and Nonlinear Sciences, 2021) Akın, Lütfi
The concept of inequalities in time scales has attracted the attention of mathematicians for a quarter century. And these studies have inspired the solution of many problems in the branches of physics, biology, mechanics and economics etc. In this article, new principles of non-linear integral inequalities are presented in time scales via diamond-α dynamic integral and the nabla integral.
On generalized weighted dynamic inequalities for diamond - ∝ integral on time scales calculus
(SpringerLink, 2023) Akın, Lütfi
Abstract In this paper, we will prove a new version of generalized exponentially weighted dynamic inequalities of Hardy’s type for diamond / integral on time scales calculus. Our results are a new version of some published works earlier on generalized Hardy’s type integral inequalities.
On innovations of n-dimensional integral-type inequality on time scales
(2021) Akın, Lütfi
Integral-type inequalities and dynamic equations have an important place in time scales. In this paper, we present some innovations of n-dimensional Minkowski’s integral-type inequality on time scales via ♦α-integral.
On innovations of the multivariable fractional Hardy-type inequalities on time scales
(Yıldız Teknik Üniversitesi, 2023) Akın, Lütfi; Zeren, Yusuf
Fractional integral-type inequalities, dynamic equations, integral operators and variable exponents have an important place in time scales theory and harmonic analysis. Our main goal in this study is to obtain the multivariable fractional Hardy-type integral inequality using a new version of Jensen’s inequality for super-quadratic and sub-quadratic functions on time scales with variable exponents.
ON SOME RESULTS OF WEIGHTED HÖLDER TYPE INEQUALITY ON TIME SCALES
(2020) Akın, Lütfi
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.
ON SOME RESULTS OF WEIGHTED HÖLDER TYPE INEQUALITY ON TIME SCALES
(2020) Akın, Lütfi
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.
On the Fractional Maximal Delta Integral Type Inequalities on Time Scales
(MDPI AG, 2020) Akın, L.; Akın, Lütfi
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.
Weak Type Estimates Of Hardy Integral Operators On Morrey Spaces With Variable Exponent Lebesgue spaces
(2019) Akın, Lütfi
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.

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