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

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

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 num...

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Veröffentlicht in:Mathematics (Basel) 2019-08, Vol.7 (8), p.727
Hauptverfasser: Nie, Dongming, Rashid, Saima, Akdemir, Ahmet Ocak, Baleanu, Dumitru, Liu, Jia-Bao
Format: Artikel
Sprache:eng
Schlagworte:
Convex analysis
convex function
Error analysis
exponentially convex functions
HH inequality
Inequalities
Inequality
Mathematics
Numerical analysis
Random variables
rth-moment
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Beschreibung
Zusammenfassung: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7080727