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

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 09 Aug 2019 Turkey English Publisher:MDPI AGJournal:Mathematics, volume 7, page 727 (eissn: 2227-7390, Copyright policy )
Authors: Dongming Nie; Saima Rashid; Ahmet Ocak Akdemir; Dumitru Baleanu; Jia-Bao Liu;

doi: 10.3390/math7080727

handle: 20.500.12501/3113

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

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.

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Keywords

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

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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
29
Top 10%
Top 10%
Top 10%
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