On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions With Applications
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GOLD
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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, R<sup>th</sup>-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
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
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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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