NECESSARY AND SUFFICIENT CONDITIONS FOR GEOMETRIC MEANS OF SEQUENCES IN MULTIPLICATIVE CALCULUS

被引：1

作者：

Canak, I. ^{[1
]}

Totur, U. ^{[2
]}

Sezer, S. A. ^{[3
]}

机构：

[1] Ege Univ, Dept Math, TR-35100 Izmir, Turkey

[2] Adnan Menderes Univ, Dept Math, TR-09010 Aydin, Turkey

[3] Istanbul Medeniyet Univ, Dept Math, TR-35100 Izmir, Turkey

来源：

MISKOLC MATHEMATICAL NOTES | 2017年 / 17卷 / 02期

关键词：

multiplicative calculus; geometric mean;

D O I：

10.18514/MMN.2017.1800

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we have introduced the concept of geometric convergence of a sequence and determined the necessary and sufficient condition under which convergence follows from geometric convergence of a sequence in multiplicative sense. Corollaries allow this condition to be replaced by multiplicative analogues of Schmidt type slow oscillation condition or Landau type two-sided condition.

引用

页码：791 / 800

页数：10

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