Some Properties and Inequalities for a Two-Parameter Generalization of the Incomplete Exponential Integral Function

Ahmed Yakubu; Bashiru Abubakari; Francis Kwaku Assan

doi:10.9734/arjom/2023/v19i10737

Research Article Open access CC BY 4.0

Some Properties and Inequalities for a Two-Parameter Generalization of the Incomplete Exponential Integral Function

Ahmed Yakubu, Bashiru Abubakari, Francis Kwaku Assan

Asian Research Journal of Mathematics · pp. 154–160 · Published 30 Aug 2023

10.9734/arjom/2023/v19i10737

Abstract

Motivated by the p-analogue of the exponential integral function [1], we introduce a two-parameter generalization of the Incomplete Exponential Integral function. By using the classical H¨older’s and Young’s inequalities, among other analytical techniques, we establish some new inequalities involving the generalized function.

Two-parameter Generalization of the incomplete exponential integral function Holder’s inequality and Young’s inequality for scalars.

Cited by 1

Monotonicity and Convexity Properties and Some Inequalities Involving $E_{n,p}(x)$

Ahmed Yakubu, M. Sulemana, Iddrisu Mohammed Katali · Earthline Journal of Mathematical Sciences · 2023

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Ahmed Yakubu, Bashiru Abubakari, Francis Kwaku Assan (2023). Some Properties and Inequalities for a Two-Parameter Generalization of the Incomplete Exponential Integral Function. Asian Research Journal of Mathematics , 154–160. https://doi.org/10.9734/arjom/2023/v19i10737

Affiliations

Ahmed Yakubu — Department of Mathematics, Faculty of Physical Sciences, University for Development Studies, Nyankpala Campus, P. O. Box TL1350, Tamale, N/R, Ghana.
Bashiru Abubakari — Department of Mathematics Education, Faculty of Education, University for Development Studies, Main Campus, Tamale, N/R, Ghana.
Francis Kwaku Assan — Department of Mathematics, Akrokeri College of Education, Obuasi, A/R, Ghana.

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