Integral inequalities for s-convexity via generalized fractional integrals on fractal sets
In this study, we establish new integral inequalities of the Hermite–Hadamard type for s-convexity via the Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann–Liouville into a single form. We show that the new integral inequalities of Hermite–Hadamard type...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Multidisciplinary Digital Publishing Institute
2020
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| Online Access: | http://psasir.upm.edu.my/id/eprint/89410/ http://psasir.upm.edu.my/id/eprint/89410/1/KATU.pdf |
| _version_ | 1848860847654305792 |
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| author | Almutairi, Ohud Kilicman, Adem |
| author_facet | Almutairi, Ohud Kilicman, Adem |
| author_sort | Almutairi, Ohud |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this study, we establish new integral inequalities of the Hermite–Hadamard type for s-convexity via the Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann–Liouville into a single form. We show that the new integral inequalities of Hermite–Hadamard type can be obtained via the Riemann–Liouville fractional integral. Finally, we give some applications to special means. |
| first_indexed | 2025-11-15T12:51:44Z |
| format | Article |
| id | upm-89410 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:51:44Z |
| publishDate | 2020 |
| publisher | Multidisciplinary Digital Publishing Institute |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-894102021-08-18T09:27:46Z http://psasir.upm.edu.my/id/eprint/89410/ Integral inequalities for s-convexity via generalized fractional integrals on fractal sets Almutairi, Ohud Kilicman, Adem In this study, we establish new integral inequalities of the Hermite–Hadamard type for s-convexity via the Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann–Liouville into a single form. We show that the new integral inequalities of Hermite–Hadamard type can be obtained via the Riemann–Liouville fractional integral. Finally, we give some applications to special means. Multidisciplinary Digital Publishing Institute 2020 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/89410/1/KATU.pdf Almutairi, Ohud and Kilicman, Adem (2020) Integral inequalities for s-convexity via generalized fractional integrals on fractal sets. Mathematics, 8 (1). pp. 1-11. ISSN 2227-7390 https://www.mdpi.com/2227-7390/8/1/53 10.3390/math8010053 |
| spellingShingle | Almutairi, Ohud Kilicman, Adem Integral inequalities for s-convexity via generalized fractional integrals on fractal sets |
| title | Integral inequalities for s-convexity via generalized fractional integrals on fractal sets |
| title_full | Integral inequalities for s-convexity via generalized fractional integrals on fractal sets |
| title_fullStr | Integral inequalities for s-convexity via generalized fractional integrals on fractal sets |
| title_full_unstemmed | Integral inequalities for s-convexity via generalized fractional integrals on fractal sets |
| title_short | Integral inequalities for s-convexity via generalized fractional integrals on fractal sets |
| title_sort | integral inequalities for s-convexity via generalized fractional integrals on fractal sets |
| url | http://psasir.upm.edu.my/id/eprint/89410/ http://psasir.upm.edu.my/id/eprint/89410/ http://psasir.upm.edu.my/id/eprint/89410/ http://psasir.upm.edu.my/id/eprint/89410/1/KATU.pdf |