Quantum Inequalities of Hermite–Hadamard Type for r-Convex Functions. (23rd February 2021)

• Record Type: Journal Article
• Authors: You, Xuexiao; Kara, Hasan; Budak, Hüseyin; Kalsoom, Humaira
• Other Names: Akdemir Ahmet Ocak Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-02-23
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/6634614
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this present study, we first establish Hermite–Hadamard type inequalities for r -convex functions via q κ 2 -definite integrals. Then, we prove some quantum inequalities of Hermite–Hadamard type for product of two r -convex functions. Finally, by using these established inequalities and the results given by (Brahim et al. 2015), we prove several quantum Hermite–Hadamard type inequalities for coordinated r -convex functions and for the product of two coordinated r -convex functions.