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Hermite-hadamard type inequalities for some convex functions with the help of generalized fractional integrals

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2020
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Abstract (EN)

This thesis consists of five chapters. In the first part of the thesis, history of inequality is mentioned. In the second part of the thesis, some important literature which used in thesis briefly and definitions, theorems and examples related to convex functions are given. In the third part of the thesis, Hermite-Hadamard type inequalities which are produced by using Riemann integral, Riemann-Liouville fractional integral and generalized fractional integral are given. In the fourth part of the thesis, inequalities obtained with the help of h-convex function and quasi-convex function classes are examined and new inequalities are generated for generalized fractional integrals. In the last chapter of thesis, the contribution and importance of the thesis to the literature was mentioned and the study was concluded.

Author

Recep Türker

How to Cite

Recep Türker (Master Thesis). Hermite-hadamard type inequalities for some convex functions with the help of generalized fractional integrals, 2020, Van Yüzüncü Yıl Üniversity.

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