Some New Refinements of Hermite–Hadamard-Type Inequalities Involving ψk-Riemann–Liouville Fractional Integrals and Applications

By Muhammad Uzair Awan, Sadia Talib, Y. Chu, Muhammad Aslam Noor, Khalida Inayat Noor. 2020

74 citations recorded by the source corpus.

The main objective of this article is to establish some new fractional refinements of Hermite–Hadamard-type inequalities essentially using new - Riemann–Liouville fractional integrals, where . Using this new fractional integral, we also derive two new fractional integral identities. Applications of the obtained results are also discussed.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/b3d1ca8c61e4f71d794de9d6ff44b654d9567336

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In Applied Mathematics

1. Saima Rashid
2. Y. Chu
3. Ahmet Ocak Akdemir
4. Saad Ihsaan Butt
5. M. Umar
6. Tie-hong Zhao
7. Miao-Kun Wang
8. M. Adil Khan

In Modeling and Simulation

1. Saima Rashid
2. Y. Chu
3. Ahmet Ocak Akdemir
4. Saad Ihsaan Butt

Citations in the corpus

• New Hermite–Jensen–Mercer-type inequalities via k-fractional integrals (2020, background): “Another important inequality for convex functions is the Hermite–Hadamard inequality [23, 24], which has been proved by numerous ways and has many generalizations and extensions [25–29].”