On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions

• Published in: Open mathematics (Warsaw, Poland) Vol. 19; no. 1; pp. 427 - 439
• Main Authors: Ali, Muhammad Aamir, Alp, Necmettin, Budak, Hüseyin, Chu, Yu-Ming, Zhang, Zhiyue
• Format: Journal Article
• Language: English
• Published: Warsaw De Gruyter 01.06.2021; De Gruyter Poland
• Subjects: 26A51; 26D10; 26D15; Convex analysis; convex function; Hermite-Hadamard inequality; Inequalities; integral; q-integral; quantum calculus

The present paper aims to find some new midpoint-type inequalities for twice quantum differentiable convex functions. The consequences derived in this paper are unification and generalization of the comparable consequences in the literature on midpoint inequalities.