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Academic Journal
Strongly (g,h;α − m)-convex functions and the consequent Hermite–Hadamard-type inequalities
Yonghong Liu, Ghulam Farid, Josip Pečarić, Jongsuk Ro, Mawahib Elamin, Sayed Abdel-Khalek
Applied Mathematics in Science and Engineering, Vol 33, Iss 1 (2025)
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| Title | Strongly (g,h;α − m)-convex functions and the consequent Hermite–Hadamard-type inequalities |
|---|---|
| Authors | Yonghong Liu, Ghulam Farid, Josip Pečarić, Jongsuk Ro, Mawahib Elamin, Sayed Abdel-Khalek |
| Publication Year |
2025
|
| Source |
Applied Mathematics in Science and Engineering, Vol 33, Iss 1 (2025)
|
| Description |
In this paper, we define a new class of strongly [Formula: see text]-convex functions. Some important implications are listed and related with already known classes. Hermite–Hadamard-type inequalities are established for this new class of functions. Several particular cases are analysed. All the inequalities are established for Riemann–Liouville fractional integrals, and these are generalizations of ordinary integral inequalities.
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| Document Type |
article
|
| Language |
English
|
| Publisher Information |
Taylor & Francis Group, 2025.
|
| Subject Terms | |
