On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications

Dongming Nie, Saima Rashid, Ahmet Ocak Akdemir, Dumitru Baleanu and Jia-Bao Liu
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Dongming Nie: School of Common Courses, Anhui Xinhua University, Hefei 230088, China
Saima Rashid: Department of Mathematics, Govt. College, University, Faisalabad 38000, Pakistan
Ahmet Ocak Akdemir: Department of Mathematics, Faculty of Science and Letters, Agri Ibrahim Çeçen University, Agri 04100, Turkey
Dumitru Baleanu: Department of Mathematics, Cankaya University, Ankara 06530, Turkey
Jia-Bao Liu: School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China

Mathematics, 2019, vol. 7, issue 8, 1-12

Abstract: In this article, we aim to establish several inequalities for differentiable exponentially convex and exponentially quasi-convex mapping, which are connected with the famous Hermite–Hadamard (HH) integral inequality. Moreover, we have provided applications of our findings to error estimations in numerical analysis and higher moments of random variables.

Keywords: convex function; exponentially convex functions; HH inequality; r th -moment (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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