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Generalized hermite-hadamard type inequalities for interval-valued functions

2024
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Advisor: Doç. Dr. Hüseyin Budak

Abstract (EN)

In this thesis, generalized Hermite-Hadamard inequalities for interval-valued functions are obtained. This thesis consists of three main parts. The first part included generalized fractional inequalities obtained for interval-valued functions with one variable. In the second part, inequalities were obtained for interval-valued functions with two variables. This part acquired Hermite-Hadamard inequalities with the help of the Riemann-Liouville fractional integrals, Sarıkaya fractional integrals, and fractional integrals with respect to another function for interval-valued functions. The third part consists of weighted versions of Hermite-Hadamard type inequalities for interval-valued functions. In this part, the inequalities obtained for the product of single variable and two variables functions are given. In addition, with the help of the weighted Jensen inequality, inequalities are obtained for single variable functions with intervals and functions of two variables with interval values.

Author

Dr. Hasan Kara

How to Cite

Hasan Kara (Doctorate thesis). Generalized hermite-hadamard type inequalities for interval-valued functions, 2024, Düzce University.

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