İşletme Bölümü

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Browsing İşletme Bölümü by Institution Author "Akin, Lutfi"

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    Article
    Citation - WoS: 8
    Citation - Scopus: 8
    A New Approach for the Fractional Integral Operator in Time Scales With Variable Exponent Lebesgue Spaces
    (MDPI, 2021) Akin, Lutfi
    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.
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    Article
    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.
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    Article
    Citation - WoS: 10
    Citation - Scopus: 11
    On the Fractional Maximal Delta Integral Type Inequalities on Time Scales
    (MDPI, 2020) Akin, Lutfi
    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.