Abstract
In this investigation, for convex functions, some new (p, q)–Hermite–Hadamard-type inequalities using the notions of (p, q)π2 derivative and (p, q)π2 integral are obtained. Furthermore, for (p, q)π2-differentiable convex functions, some new (p, q) estimates for midpoint and trapezoidal-type inequalities using the notions of (p, q)π2 integral are offered. It is also shown that the newly proved results for p = 1 and q → 1− can be converted into some existing results. Finally, we discuss how the special means can be used to address newly discovered inequalities.
| Original language | English |
|---|---|
| Article number | 828 |
| Journal | Entropy |
| Volume | 23 |
| Issue number | 7 |
| DOIs | |
| State | Published - Jul 2021 |
Keywords
- (p, q) estimates for midpoint and trapezoidal type inequalities
- Post-quantum calculus
- Quantum calculus
Fingerprint
Dive into the research topics of 'Some new hermite–hadamard and related inequalities for convex functions via (P, q)-integral'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver