TR-Dizin İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12514/1836

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Browsing TR-Dizin İndeksli Yayınlar Koleksiyonu by Institution Author "Akin, Lutfi"

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    Article
    A Characterization of Approximation of Hardy Operators in VLS
    (2018) Akin, Lutfi
    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 differentialequations 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.
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    Article
    A Characterization of Some Class Nonlinear Eigenvalue Problem in Vels
    (2019) Akin, Lutfi
    In last the quarter century, many researchers have been interested by the theory of the variable exponent functionspace and its applications. We well-know that a normal mode analysis of a vibrating mechanical or electrical systemgives rise to an eigenvalue problem. We will investigate a characterization of some class nonlinear eigenvalueproblem in variable exponent Lebesgue spaces.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    A Characterization of Some Class Nonlinear Eigenvalue Problem in VELS
    (Hindawi Ltd, 2019) Akin, Lutfi
    A normal mode analysis of a vibrating mechanical or electrical system gives rise to an eigenvalue problem. Faber made a fairly complete study of the existence and asymptotic behavior of eigenvalues and eigenfunctions, Green's function, and expansion properties. We will investigate a new characterization of some class nonlinear eigenvalue problem.
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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.