New extensions version of Hermite–Hadamard type inequalities by means of conformable fractional integrals
In the current investigation, we acquire the upper and lower bounds for inequalities of midpoint-type and trapezoid-type involving conformable fractional integral operators with the help of the mappings whose second derivatives are bounded. We support the established inequalities with examples. More...
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| Format: | Article |
| Language: | English |
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Miskolc University Press
2024-01-01
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| Series: | Miskolc Mathematical Notes |
| Online Access: | http://mat76.mat.uni-miskolc.hu/mnotes/article/4506 |
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| _version_ | 1832592192797933568 |
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| author | Umut Bas Hüseyin Budak Hasan Kara |
| author_facet | Umut Bas Hüseyin Budak Hasan Kara |
| author_sort | Umut Bas |
| collection | DOAJ |
| description | In the current investigation, we acquire the upper and lower bounds for inequalities of midpoint-type and trapezoid-type involving conformable fractional integral operators with the help of the mappings whose second derivatives are bounded. We support the established inequalities with examples. Moreover, we use graphs to demonstrate the correctness of the given examples. What’s more, we prove the Hermite-Hadamard inequality, which includes conformable fractional integrals, with the aid of condition f′(a+b−t)−f′(t)≥0,t∈ [a,a+b2] |
| format | Article |
| id | doaj-art-116343b3ff59496189491832e6906bce |
| institution | Kabale University |
| issn | 1787-2405 1787-2413 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Miskolc University Press |
| record_format | Article |
| series | Miskolc Mathematical Notes |
| spelling | doaj-art-116343b3ff59496189491832e6906bce2025-01-21T12:00:07ZengMiskolc University PressMiskolc Mathematical Notes1787-24051787-24132024-01-0125260510.18514/MMN.2024.4506New extensions version of Hermite–Hadamard type inequalities by means of conformable fractional integralsUmut BasHüseyin BudakHasan KaraIn the current investigation, we acquire the upper and lower bounds for inequalities of midpoint-type and trapezoid-type involving conformable fractional integral operators with the help of the mappings whose second derivatives are bounded. We support the established inequalities with examples. Moreover, we use graphs to demonstrate the correctness of the given examples. What’s more, we prove the Hermite-Hadamard inequality, which includes conformable fractional integrals, with the aid of condition f′(a+b−t)−f′(t)≥0,t∈ [a,a+b2]http://mat76.mat.uni-miskolc.hu/mnotes/article/4506 |
| spellingShingle | Umut Bas Hüseyin Budak Hasan Kara New extensions version of Hermite–Hadamard type inequalities by means of conformable fractional integrals Miskolc Mathematical Notes |
| title | New extensions version of Hermite–Hadamard type inequalities by means of conformable fractional integrals |
| title_full | New extensions version of Hermite–Hadamard type inequalities by means of conformable fractional integrals |
| title_fullStr | New extensions version of Hermite–Hadamard type inequalities by means of conformable fractional integrals |
| title_full_unstemmed | New extensions version of Hermite–Hadamard type inequalities by means of conformable fractional integrals |
| title_short | New extensions version of Hermite–Hadamard type inequalities by means of conformable fractional integrals |
| title_sort | new extensions version of hermite hadamard type inequalities by means of conformable fractional integrals |
| url | http://mat76.mat.uni-miskolc.hu/mnotes/article/4506 |
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