Abstract
AbstractIn this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite–Hadamard inequalities for quantum integrals. The results presented in this paper are generalizations of the comparable results in the literature on Hermite–Hadamard inequalities. Several inequalities, such as the midpoint-like integral inequality, the Simpson-like integral inequality, the averaged midpoint–trapezoid-like integral inequality, and the trapezoid-like integral inequality, are obtained as special cases of our main results.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference47 articles.
1. Adil Khan, M., Mohammad, N., Nwaeze, E.R., Chu, Y.-M.: Quantum Hermite–Hadamard inequality by means of a Green function. Adv. Differ. Equ. 2020(1), 99 (2020)
2. Ali, M.A., Abbas, M., Budak, H., Agarwal, P., Murtaza, G., Chu, Y.-M.: New quantum boundaries for quantum Simpson’s and quantum Newton’s type inequalities for preinvex functions. Adv. Differ. Equ. 2021, 64 (2021). https://doi.org/10.1186/s13662-021-03226-x
3. Ali, M.A., Alp, N., Budak, H., Chu, Y.-M., Zhang, Z.: On some new quantum midpoint type inequalities for twice quantum differentiable convex functions. Open Math. (2021, in press)
4. Ali, M.A., Budak, H., Abbas, M., Chu, Y.-M.: Quantum Hermite–Hadamard-type inequalities for functions with convex absolute values of second $q^{b}$-derivatives. Adv. Differ. Equ. 2021, 7 (2021). https://doi.org/10.1186/s13662-020-03163-1
5. Ali, M.A., Budak, H., Akkurt, A., Chu, Y.-M.: Quantum Ostrowski type inequalities for twice quantum differentiable functions in quantum calculus. Open Math. (2021, in press)
Cited by
37 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献