ON NEW REFINEMENTS AND GENERALIZATIONS OF q-HERMITE-HADAMARD INEQUALITIES FOR CONVEX FUNCTIONS
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, vol.54, no.2, pp.361-374, 2024 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 54 Issue: 2
- Publication Date: 2024
- Doi Number: 10.1216/rmj.2024.54.361
- Journal Name: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
- Page Numbers: pp.361-374
- Kocaeli University Affiliated: No
Abstract
We aim to prove generalized estimations for the q-Hermite-Hadamard inequality for convex functions using a parameter. By choosing this particular parameter, we show that our results reduce the previously obtained q-Hermite-Hadamard inequalities. We also present some new refinements of these q-Hermite- Hadamard inequalities. Furthermore, we establish a new lemma and, by using this lemma, we obtain some new quantum inequalities that generalize quantum midpoint and quantum trapezoid inequalities for convex functions.