SOME PROPERTIES AND INEQUALITIES FOR A TWO-PARAMETER EXTENSION OF THE LOWER INCOMPLETE EXPONENTIAL INTEGRAL FUNCTION

In this paper, we introduce an extension of the Incomplete Exponential Integral function. Where En,p (x, v) and εn,p (x, v) are the p-analogues of the upper and lower incomplete exponential integral functions respectively. We also establish some properties and inequalities generalizing those satisfied by the p-analogue of the lower Incomplete Exponential Integral function. We employ the Holder’s inequality for integrals and the Minkowski’s inequality for integral .