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Maclaurin type inequalities for fractional integrals

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2025
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Abstract (EN)

The first chapter of this thesis, which consists of five chapters, contains information about the Maclaurin inequality. In the second and third chapters, some basic definitions, theorems, Riemann-Liouville and conformable fractional integral operators and some Riemann-Liouville fractional integral inequalities are given. In the fourth part, the main results section, new Maclaurin-type integral inequalities for convex functions, bounded functions, Lipschitz functions and functions of bounded variation are presented with the help of conformable fractional integral operators. In the last section, conclusions and recommendations are given.

Author

Nagihan Uzun

How to Cite

Nagihan Uzun (Master Thesis). Maclaurin type inequalities for fractional integrals, 2025, Ordu University.

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