Some Novel Fractional Integral Inequalities for Different Kinds of Convex Functions
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| Title: | Some Novel Fractional Integral Inequalities for Different Kinds of Convex Functions |
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| Authors: | Aslan, Sinan |
| Contributors: | Sosyal Bilimler Enstitüsü, orcid:0000-0001-5970-1926 |
| Source: | Volume: 9, Issue: 1 27-32 Eastern Anatolian Journal of Science |
| Publisher Information: | Ağrı İbrahim Çeçen Üniversitesi, 2023. |
| Publication Year: | 2023 |
| Subject Terms: | h−convex functions, Matematiksel Yöntemler ve Özel Fonksiyonlar, Caputo-Fabrizio fractional integral operator, s−convex functions, Mathematical Methods and Special Functions |
| Description: | 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. |
| Document Type: | Article |
| File Description: | application/pdf |
| Language: | English |
| Access URL: | https://hdl.handle.net/20.500.12501/3702 https://dergipark.org.tr/tr/pub/eajs/issue/78712/1310975 |
| Accession Number: | edsair.dedup.wf.002..d77f97d88fe9590ec2d0fad04d9397d8 |
| Database: | OpenAIRE |
Nájsť tento článok vo Web of Science | Abstract: | 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. |
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