Mean Inequalities for Derivatives of the Generalised Exponential Integral Function

In this paper, among other things, we establish arithmetic, geometric and harmonic mean inequalities for derivatives of the generalised exponential integral function. The methods of proof rely heavily on monotonicity properties of certain functions associated with the generalised exponential integral function. The results obtained generalise some existing results in the literature.

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Publication Details

Journal
Journal of Informatics and Mathematical Sciences
Published
2025-09-16
DOI
https://doi.org/10.26713/jims.v17i3.3256
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

Mean Inequalities for Derivatives of the Generalised Exponential Integral Function

Kwara Nantomah, Christophe Chesneau, Morgan Yindobil Zubil, Rahamatu Iddi
Journal of Informatics and Mathematical Sciences
Mathematical Inequalities and Applications
article

Mean Inequalities for Derivatives of the Generalised Exponential Integral Function

Kwara Nantomah, Christophe Chesneau, Morgan Yindobil Zubil, Rahamatu Iddi
article en

Abstract

In this paper, among other things, we establish arithmetic, geometric and harmonic mean inequalities for derivatives of the generalised exponential integral function. The methods of proof rely heavily on monotonicity properties of certain functions associated with the generalised exponential integral function. The results obtained generalise some existing results in the literature.

Journal of Informatics and Mathematical SciencesVol. 17(3)
C.K. Tedam University of Technology and Applied Sciences (GH), Université de Caen Normandie (FR)
Openalex Percentile: Top 64%
Mathematical Inequalities and Applications
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