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Integral inequalities for the classes of exponentially convex functions including fractional integral

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2021
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Abstract (EN)

In the introduction of this thesis, the historical development of the concepts of inequality and convex functions is mentioned. General information on the concepts of fractional derivative and fractional integral is given. Under the title of Theoretical Foundations, the basic definitions, concepts and theorems used in the thesis are given. In the section Materials and Methods, general information about Atangana-Baleanu, Caputo-Fabrizio fractional integrals is given and lemmas to be used in the thesis study are given. In the last part that is the findings, inequalities for exponential convex functions are obtained by using Atangana-Baleanu, Caputo-Fabrizio fractional integral operators.

Author

Pınar Uzman

How to Cite

Pınar Uzman (Master Thesis). Integral inequalities for the classes of exponentially convex functions including fractional integral, 2021, Ağrı İbrahim Çeçen University.

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