MMN-4203
Newton-type inequalities associated with convex functions via quantum calculus
Waewta Luangboon;
Kamsing Nonlaopon;
Mehmet Zeki Sarikaya;
Hüseyin Budak;
Abstract
In this paper, we firstly establish an identity by using the notions of quantum derivatives and integrals. Using this quantum identity, quantum Newton-type inequalities associated with convex functions are proved. We also show that the newly established inequalities can be recaptured into some existing inequalities by taking q → 1−. Finally, we give mathematical examples of convex functions to verify the newly established inequalities.
Vol. 25 (2024), No. 1, pp. 383-398