Resumen
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.
| Idioma original | Inglés |
|---|---|
| Número de artículo | 828 |
| Publicación | Entropy |
| Volumen | 23 |
| N.º | 7 |
| DOI | |
| Estado | Publicada - jul. 2021 |
| Publicado de forma externa | Sí |
Nota bibliográfica
Publisher Copyright:© 2021 by the authors. Licensee MDPI, Basel, Switzerland.
Financiación
| Financiadores | Número del financiador |
|---|---|
| Pontificia Universidad Católica del Ecuador | |
| National Natural Science Foundation of China | 11971241 |