An inequality for the product of two integrals relating to the incomplete gamma function

Authors
Elbert, A Laforgia, A
Citation
A. Elbert et A. Laforgia, An inequality for the product of two integrals relating to the incomplete gamma function, J INEQUAL A, 5(1), 2000, pp. 39-51
Citations number
5
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF INEQUALITIES AND APPLICATIONS
ISSN journal
10255834 → ACNP
Volume
5
Issue
1
Year of publication
2000
Pages
39 - 51
Database
ISI
SICI code
1025-5834(2000)5:1<39:AIFTPO>2.0.ZU;2-2
Abstract
The inequality integral(0)(x) e(tp) dt . integral(x)(infinity) e(-tp) dt < 1/4 is proved for p > 1.87705... and x greater than or equal to 0, and new inequalities are established for the integrals integral(0)(x) e(-tp) dt and integral(0)(x) e(-tp) dt, p > 1.