İşletme Bölümü
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Article A New Approach for the Fractional Integral Operator in Time Scales With Variable Exponent Lebesgue Spaces(Mdpi, 2021) Akın, LütfiIntegral 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.Article On innovations of n-dimensional integral-type inequality on time scales(2021) Akın, LütfiIntegral-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.Article On the Fractional Maximal Delta Integral Type Inequalities on Time Scales(MDPI AG, 2020) Akın, L.; Akın, LütfiTime 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.