Some Novel Fractional Integral Inequalities for Different Kinds of Convex Functions

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Názov: Some Novel Fractional Integral Inequalities for Different Kinds of Convex Functions
Autori: Aslan, Sinan
Prispievatelia: Sosyal Bilimler Enstitüsü, orcid:0000-0001-5970-1926
Zdroj: Volume: 9, Issue: 1 27-32
Eastern Anatolian Journal of Science
Informácie o vydavateľovi: Ağrı İbrahim Çeçen Üniversitesi, 2023.
Rok vydania: 2023
Predmety: h−convex functions, Matematiksel Yöntemler ve Özel Fonksiyonlar, Caputo-Fabrizio fractional integral operator, s−convex functions, Mathematical Methods and Special Functions
Popis: In this paper, some novel integral inequalities for different kinds of convex functions have been proved by using Caputo-Fabrizio fractional integral operators. The findings includes several new integral inequalities h-convex functions, s-convex functions in the second sense. We have used the properties of Caputo-Fabrizio fractional operator, definition of different kinds of convex functions and elemantery analysis methods.
Druh dokumentu: Article
Popis súboru: application/pdf
Jazyk: English
Prístupová URL adresa: https://hdl.handle.net/20.500.12501/3702
https://dergipark.org.tr/tr/pub/eajs/issue/78712/1310975
Prístupové číslo: edsair.dedup.wf.002..d77f97d88fe9590ec2d0fad04d9397d8
Databáza: OpenAIRE
Popis
Abstrakt:In this paper, some novel integral inequalities for different kinds of convex functions have been proved by using Caputo-Fabrizio fractional integral operators. The findings includes several new integral inequalities h-convex functions, s-convex functions in the second sense. We have used the properties of Caputo-Fabrizio fractional operator, definition of different kinds of convex functions and elemantery analysis methods.