İşletme Bölümü Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12514/96

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AĞIRLIKLI VE DEĞİŞKEN ÜSLÜ LEBESGUE UZAYINDA HARDY OPERATÖRÜNÜN KOMPAKTLIĞI
(2014) Akın, Lütfi; Department of Management / İşletme Bölümü
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Approximation To Generalized Taylor Derivatives By Integral Operator Families
(MSU J. of Sci, 2017) Akın, Lütfi; Zeren, Yusuf; Department of Management / İşletme Bölümü
This theory has important applications of polynomial approximation in various areas of functional analysis, Fourier analysis, application mathematic, operator theory, in the field generalized derivatives and numerical solutions of differential and integral equations, etc. 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. This theory is very important for mathematical world. Nowadays, many mathematicians are working in this field.
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.
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.
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) .
Compactness of Fractional Maximal Operator in Weighted and Variable Exponent Spaces
(Erzincan University Journal of Science and Technology, 2019) Akın, Lütfi; Department of Management / İşletme Bölümü
We have studied necessary and sufficienty conditions for the weighted fractional maximal operator to be compactness from ) , 0( (.) l Lp to ) , 0( (.) l Lq .
İNTEGRAL OPERATÖR AİLELERİYLE GENELLEŞTİRİLMİŞ TÜREVLERE YAKLAŞIM
(2008) Akın, Lütfi; Department of Management / İşletme Bölümü
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Matematik Diyarında Bir Mola
(ALTIN NOKTA BASIM YAYIN DAĞITIM BİLİŞİM, 2017) Akın, Lütfi; Department of Management / İşletme Bölümü
Çocuklarına matematiği sevdirmek çoğu aile için son derece zorlu bir süreçtir. Bu aslında oldukça doğaldır ki matematik, çok fazla beyin gücü gerektiren bir yetenektir. Bu durum çocuklar tarafından zor bir iş olarak algılanabilir. Ama her şeyde olduğu gibi matematik öğreniminde de ilk ilke “sevmek”tir. Chicago ve Western Üniversiteleri tarafından 2012’de yapılan bir araştırma matematikle çok fazla uğraşan kişilerin fiziksel acı-ya benzer bir acı yaşadıklarını gösteriyor. Aileler de çocukken formüller-le, sembollerle ve denklemlerle yaşadıkları zorlukları iyi bildikleri için genellikle çocuklarına matematiğin zor olduğunu söylemeye meyilli oluyorlar. Aslında en büyük hata bu noktada yapılmış oluyor. Sonuç olarak matematiğin zor olduğu düşüncesi, çocukların aklına yerleşir ve onlar da matematiği akademik hayatlarında karşılaşmak zorunda kala-cakları korkunç bir canavar olarak görürler
Citation - WoS: 6
Citation - Scopus: 7
A New Approach for the Fractional Integral Operator in Time Scales With Variable Exponent Lebesgue Spaces
(Mdpi, 2021) Akın, Lütfi; Department of Management / İşletme Bölümü
Integral equations and inequalities have an important place in time scales and harmonic analysis. The norm of integral operators is one of the important study topics in harmonic analysis. Using the norms in different variable exponent spaces, the boundedness or compactness of the integral operators are examined. However, the norm of integral operators on time scales has been a matter of curiosity to us. In this study, we prove the equivalence of the norm of the restricted centered fractional maximal diamond-alpha integral operator M-a,delta(c) to the norm of the centered fractional maximal diamond-alpha integral operator M-a(c) on time scales with variable exponent Lebesgue spaces. This study will lead to the study of problems such as the boundedness and compactness of integral operators on time scales.
Citation - WoS: 6
Citation - Scopus: 10
New Principles of Non-Linear Integral Inequalities on Time Scales
(Applied Mathematics and Nonlinear Sciences, 2021) Akın, Lütfi; Department of Management / İşletme Bölümü
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 a New Approximation for Weighted Integral-Type Inequalities in V ELS
(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
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. We refer to [1-7]. This studies also has been stimulated by problems of elasticity, fluid dynamics, calculus of variations and differential equations with non-standard growth conditions. More results for Hardy-type inequalities in variable exponent Lebesgue spaces can be found in F. I. Mamedov et al., [9]; L. Akın [10, 11]; A. Kufner and L. E. Persson [14]; V. Kokilashvili and S. Samko [15] and references therein
Citation - WoS: 0
Citation - Scopus: 1
On generalized weighted dynamic inequalities for diamond - ∝ integral on time scales calculus
(SpringerLink, 2023) Akın, Lütfi; Department of Management / İşletme Bölümü
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.
Citation - WoS: 5
Citation - Scopus: 7
On innovations of n-dimensional integral-type inequality on time scales
(2021) Akın, Lütfi; Department of Management / İşletme Bölümü
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.
Citation - WoS: 0
Citation - Scopus: 1
On innovations of the multivariable fractional Hardy-type inequalities on time scales
(Yıldız Teknik Üniversitesi, 2023) Akın, Lütfi; Zeren, Yusuf; Department of Management / İşletme Bölümü
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 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].
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.
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
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.
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 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.

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