Hermite-Hadamard Type Inequalities for the Class of Convex Functions on Time Scale

Saima Rashid, Muhammad Aslam Noor, Khalida Inayat Noor, Farhat Safdar and Yu-Ming Chu
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Saima Rashid: Department of Mathematics, Government College University, Faisalabad 38000, Pakistan
Muhammad Aslam Noor: Department of Mathematics, COMSATS University Islamabad, Islamabad 45550, Pakistan
Khalida Inayat Noor: Department of Mathematics, COMSATS University Islamabad, Islamabad 45550, Pakistan
Farhat Safdar: Department of Mathematics, SBK University, Quetta 87300, Pakistan
Yu-Ming Chu: Department of Mathematics, Huzhou University, Huzhou 313000, China

Mathematics, 2019, vol. 7, issue 10, 1-20

Abstract: We investigate a time scale version of two auxiliary functions for the class of convex functions. We derive several novel dynamic inequalities for these classes of convex functions. Applications of these consequences are taken into consideration in special means. Furthermore, illustrative examples are introduced to help our outcomes. Meanwhile, we communicate a few particular cases which may be deduced from our main outcomes.

Keywords: convex functions; Hermite-Hadamard inequality; (? 1 ,? 2 )-convex functions; Time scale (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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