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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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] |
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| ISSN: | 1787-2405 1787-2413 |