Some Properties and Inequalities for a Two-Parameter Generalization of the Incomplete Exponential Integral Function
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.
*Author to whom correspondence should be addressed.
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.
Keywords: Two-parameter Generalization of the incomplete exponential integral function, Holder’s inequality and Young’s inequality for scalars.