Monotonicity and Convexity Properties and Some Inequalities Involving $E

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

Published:2023-12-16 Issue: Volume: Page:191-203
ISSN:2581-8147
Container-title:Earthline Journal of Mathematical Sciences
language:en
Short-container-title:EJMS

Author:

Yakubu Ahmed¹,Sulemana Musah¹,Katali Iddrisu Mohammed¹

Affiliation:

1. Department of Mathematics, Faculty of Physical Sciences, University for Development Studies, Nyankpala Campus, P. O. Box TL1350, Tamale, N/R, Ghana

Abstract

In this paper, we established some monotonicity and convexity properties of the p-analogue of the exponential integral function. The increasing and decreasing, positive and negative, and convexity and concavity properties of the function were established and proved. Complete monotonicity of the function was also considered.

Publisher

Earthline Publishers

Subject

General Medicine

Reference21 articles.

1. Bell, W. W. (2004). Special functions for scientists and engineers. Mineola, NY: Dover Publications.

2. Kotani, M., Amerniy, A., Ishiguro, E., & Kimura, T. (1955). Table of molecular integrals. Tokyo, Japan: Maruzen Co. Ltd.

3. Chiccoli, C., Lorenzutta, S., & Maino, G. (1989). Recent results for generalized exponential integrals. Computers in Mathematics and Applications, 19(5), 21-29. https://doi.org/10.1016/0898-1221(90)90098-5

4. Milgram, M. A. (1985). The generalized integro-exponential function. Mathematics of Computation, 44, 441-458. https://doi.org/10.1090/S0025-5718-1985-0777276-4

5. Nantomah, K., Merovci, F., & Nasiru, S. (2017). A generalization of the exponential integral and some associated inequalities. Honan Mathematical Journal, 39(1), 49-59. https://doi.org/10.5831/HMJ.2017.39.1.49