A new generalization of some quantum integral inequalities for quantum differentiable convex functions

被引：0
作者：
Yi-Xia Li
Muhammad Aamir Ali
Hüseyin Budak
Mujahid Abbas
Yu-Ming Chu
机构：
[1] Xiangnan University,College of Mathematics and Finance
[2] Nanjing Normal University,Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences
[3] Düzce University,Department of Mathematics, Faculty of Science and Arts
[4] Government College University,Department of Mathematics
[5] Huzhou University,Department of Mathematics
来源：
Advances in Difference Equations | / 2021卷
关键词：
Hermite–Hadamard inequality; Trapezoid inequalities; Midpoint inequalities; Quantum calculus; Convex functions; 26D10; 26D15; 26A51;
D O I：
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学科分类号：
摘要：
In 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.
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