New generalized Hermite-Hadamard inequality and related integral inequalities involving Katugampola type fractional integrals
In this paper, a new identity for the generalized fractional integral is defined. Using this identity we studied a new integral inequality for functions whose first derivatives in absolute value are convex. The new generalized Hermite-Hadamard inequality for generalized convex function on fractal se...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI
2020
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| Online Access: | http://psasir.upm.edu.my/id/eprint/38275/1/38275.pdf |
| _version_ | 1796973313746010112 |
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| author | Almutairi, Ohud Kilicman, Adem |
| author_facet | Almutairi, Ohud Kilicman, Adem |
| author_sort | Almutairi, Ohud |
| collection | UPM |
| description | In this paper, a new identity for the generalized fractional integral is defined. Using this identity we studied a new integral inequality for functions whose first derivatives in absolute value are convex. The new generalized Hermite-Hadamard inequality for generalized convex function on fractal sets involving Katugampola type fractional integral is established. This fractional integral generalizes Riemann-Liouville and Hadamard’s integral, which possess a symmetric property. We derive trapezoid and mid-point type inequalities connected to this generalized Hermite-Hadamard inequality. |
| first_indexed | 2024-03-06T08:40:49Z |
| format | Article |
| id | upm.eprints-38275 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:40:49Z |
| publishDate | 2020 |
| publisher | MDPI |
| record_format | dspace |
| spelling | upm.eprints-382752020-05-04T16:10:55Z http://psasir.upm.edu.my/id/eprint/38275/ New generalized Hermite-Hadamard inequality and related integral inequalities involving Katugampola type fractional integrals Almutairi, Ohud Kilicman, Adem In this paper, a new identity for the generalized fractional integral is defined. Using this identity we studied a new integral inequality for functions whose first derivatives in absolute value are convex. The new generalized Hermite-Hadamard inequality for generalized convex function on fractal sets involving Katugampola type fractional integral is established. This fractional integral generalizes Riemann-Liouville and Hadamard’s integral, which possess a symmetric property. We derive trapezoid and mid-point type inequalities connected to this generalized Hermite-Hadamard inequality. MDPI 2020 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/38275/1/38275.pdf Almutairi, Ohud and Kilicman, Adem (2020) New generalized Hermite-Hadamard inequality and related integral inequalities involving Katugampola type fractional integrals. Symmetry, 12 (4). art. no. 568. pp. 1-14. ISSN 2073-8994 https://www.mdpi.com/2073-8994/12/4/568 10.3390/sym12040568 |
| spellingShingle | Almutairi, Ohud Kilicman, Adem New generalized Hermite-Hadamard inequality and related integral inequalities involving Katugampola type fractional integrals |
| title | New generalized Hermite-Hadamard inequality and related integral inequalities involving Katugampola type fractional integrals |
| title_full | New generalized Hermite-Hadamard inequality and related integral inequalities involving Katugampola type fractional integrals |
| title_fullStr | New generalized Hermite-Hadamard inequality and related integral inequalities involving Katugampola type fractional integrals |
| title_full_unstemmed | New generalized Hermite-Hadamard inequality and related integral inequalities involving Katugampola type fractional integrals |
| title_short | New generalized Hermite-Hadamard inequality and related integral inequalities involving Katugampola type fractional integrals |
| title_sort | new generalized hermite hadamard inequality and related integral inequalities involving katugampola type fractional integrals |
| url | http://psasir.upm.edu.my/id/eprint/38275/1/38275.pdf |
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