On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions With Applications
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Date
2019
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Mdpi
Open Access Color
GOLD
Green Open Access
Yes
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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.
Description
Li, Jia Xi/0000-0002-8197-8590; Liu, Jia-Bao/0000-0002-9620-7692; Akdemir, Ahmet Ocak/0000-0003-2466-0508
Keywords
Convex Function, Exponentially Convex Functions, Hh Inequality, R(Th)-Moment, convex function, r(th)-moment, HH inequality, rth-moment, HH inequality, exponentially convex functions, Mappings, <i>r<sup>th</sup></i>-moment, Real Numbers, QA1-939, Mathematics
Turkish CoHE Thesis Center URL
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Nie, Dongming...et al. (2019). "On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications", Mathematics, Vol. 7, No. 8.
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OpenCitations Citation Count
30
Source
Mathematics
Volume
7
Issue
8
Start Page
727
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CrossRef : 30
Scopus : 41
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41
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33
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3
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