In this research, we get some midpoint type inequalities of Hermite-Hadamard inequality via tempered fractional integrals. For this, we first obtain an identity. After that, using this identity and with the help of modulus function, Hölder inequality, power mean inequality, ongoing research and the papers mentioned, we have reached our intended midpoint type inequalities. Also, we give the special cases of our results. We see that our special results give earlier works.
Hermite-Hadamard-type inequalities Midpoint-type inequalities Convex functions Riemann-Liouville fractional integrals Tempered fractional integrals.
Primary Language | English |
---|---|
Subjects | Applied Mathematics (Other) |
Journal Section | Natural Sciences |
Authors | |
Publication Date | December 28, 2023 |
Submission Date | June 27, 2023 |
Acceptance Date | December 1, 2023 |
Published in Issue | Year 2023Volume: 44 Issue: 4 |