Master'sOpen Access

Fractional integral inequalities for convex functions

2020
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Advisor: Doç. Dr. Hüseyin Budak

Abstract (EN)

This thesis is on fractional Hermite-Hadamard-Fejer and fractional Ostrowski-type inequalities obtained by the help of convex functions. The first part of this work, which is prepared as five sections, is an introduction and in the second part some definitions and theorems used in the preparation of the thesis are given. In addition, the definitions related to fractional integrals and the Hermite-Hadamard type inequalities obtained for fractional integrals are given in the second section. The weighted trapezoid-type and Ostrowski-type integral inequalities for Riemann-Liouville fractional integrals are obtained in the third section. In the fourth section, some weighted fractional integral inequalities are proven which generalize the inequalities given in the previous section. In the fifth section, the final part of the thesis, some conclusions and suggestions for subsequent studies are given.

Author

Ebru Pehlivan

How to Cite

Ebru Pehlivan (Master Thesis). Fractional integral inequalities for convex functions, 2020, Düzce University.

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