Arithmetical and geometrical means of generalized logarithmic and exponential functions:: Generalized sum and product operators

被引：16
|
作者：
Arruda, Tiago Jose [1 ]
Gonzalez, Rodrigo Silva [1 ]
Tercariol, Cesar Augusto Sangaletti [1 ,2 ]
Martinez, Alexandre Souto [1 ]
机构：
[1] Univ Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Pret, BR-14040901 Ribeirao Preto, SP, Brazil
[2] Ctr Univ Barao Maua, BR-14090180 Ribeirao Preto, SP, Brazil
来源：
PHYSICS LETTERS A | 2008年 / 372卷 / 15期
基金：
巴西圣保罗研究基金会;
关键词：
generalized logarithmic and exponential functions; generalized algebraic operators; arithmetical and geometrical means; non-extensive entropy; composing interest rates;
D O I：
10.1016/j.physleta.2007.12.020
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
One-parameter generalizations of the logarithmic and exponential functions have been obtained as well as algebraic operators to retrieve extensivity. Analytical expressions for the successive applications of the sum or product operators on several values of a variable are obtained here. Applications of the above formalism are considered. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：2578 / 2582
页数：5
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