Inequalities for the one-dimensional analogous of the Coulomb potential

被引：0

作者：

Baricz, Arpad ^{[1
,2
]}

Pogany, Tibor K. ^{[1
,3
]}

机构：

[1] Obuda Univ, John von Neumann Fac Informat, Inst Appl Math, Budapest, Hungary

[2] Univ Babes Bolyai, Dept Econ, Cluj Napoca 400591, Romania

[3] Univ Rijeka, Fac Maritime Studies, Rijeka 51000, Croatia

来源：

ACTA POLYTECHNICA HUNGARICA | 2013年 / 10卷 / 07期

关键词：

Gaussian integral; regularization of the Coulomb potential; Mills' ratio; Turan type inequalities; functional inequalities; bounds; log-convexity and geometrical convexity; TURAN TYPE INEQUALITIES; MILLS RATIO;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper our aim is to present some monotonicity and convexity properties for the one dimensional regularization of the Coulomb potential, which has applications in the study of atoms in magnetic fields and which is in fact a particular case of the Tricomi confluent hypergeometric function. Moreover, we present some Turan type inequalities for the function in the question and we deduce from these inequalities some new tight upper bounds for the Mills ratio of the standard normal distribution.

引用

页码：53 / 67

页数：15

共 11 条

[1] On a convexity theorem of Ruskai and Werner and related results [J].