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Open AccessArticle

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

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Department of Mathematics, Government College University, Faisalabad 38000, Pakistan
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Department of Mathematics, COMSATS University Islamabad, Islamabad 45550, Pakistan
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Department of Mathematics, SBK University, Quetta 87300, Pakistan
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Department of Mathematics, Huzhou University, Huzhou 313000, China
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Author to whom correspondence should be addressed.
Mathematics 2019, 7(10), 956; https://doi.org/10.3390/math7100956
Received: 8 September 2019 / Revised: 2 October 2019 / Accepted: 8 October 2019 / Published: 12 October 2019
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. View Full-Text
Keywords: convex functions; Hermite-Hadamard inequality; (Ψ12)-convex functions; Time scale convex functions; Hermite-Hadamard inequality; 12)-convex functions; Time scale
MDPI and ACS Style

Rashid, S.; Noor, M.A.; Noor, K.I.; Safdar, F.; Chu, Y.-M. Hermite-Hadamard Type Inequalities for the Class of Convex Functions on Time Scale. Mathematics 2019, 7, 956.

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