Advances in mathematical inequalities. (English) Zbl 1447.26017
Berlin: De Gruyter (ISBN 978-3-11-064343-5/hbk; 978-3-11-064347-3/ebook). viii, 259 p. (2020).
First, some new \(q\)-integrals for two-variable functions are defined. Second, based on these definitions new \(q\)-Hermite-Hadamard inequalities for coordinated convex functions are proved. The relation between the obtained results and some previously published ones is provided.
Reviewer: Snezhana Hristova (Plovdiv)
MSC:
| 26D10 | Inequalities involving derivatives and differential and integral operators |
| 26B25 | Convexity of real functions of several variables, generalizations |
| 26D15 | Inequalities for sums, series and integrals |
