A note on a general divergent series

被引：0

作者：

Farhadian, Reza ^{[1
]}

机构：

[1] Razi Univ, Dept Stat, Kermanshah, Iran

来源：

INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY | 2024年 / 55卷 / 03期

关键词：

Harmonic series; divergence; increasing sequence;

D O I：

10.1080/0020739X.2022.2153760

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

The aim of this note is to give a general theorem related to the divergence of series. A direct consequence of this theorem is the divergence of harmonic series. Furthermore, we show that this theorem can imply the divergence of some other familiar divergent series.

引用

页码：781 / 783

页数：3

共 50 条

[1] Note on a divergent series
Hardy, GH
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1941, 37 : 1 - 8
[2] A NOTE ON DIVERGENT SERIES
PETERSEN, GM
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1952, 4 (04): : 445 - 454
[3] A NOTE ON SUMMATION OF DIVERGENT POWER SERIES
SCRATON, RE
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1969, 66 : 109 - &
[4] 'On the divergent series': Rectification of a previous note.
Le Roy
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1900, 130 : 1535 - 1536
[5] On a general method of summation of divergent series.
Obrechkoff, N
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1932, 195 : 572 - 574
[6] A general method of summation of divergent series.
Small, LL
ANNALS OF MATHEMATICS, 1918, 20 : 149 - 154
[7] A note on a divergent series related to the Riemann Zeta function
Gorostiza, LG
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2002, 8 (02): : 149 - 154
[8] DIVERGENT SERIES
THORP, EO
AMERICAN MATHEMATICAL MONTHLY, 1964, 71 (01): : 97 - &
[9] A DIVERGENT SERIES
SCHMEICH.EF
ZAVE, DA
AMERICAN MATHEMATICAL MONTHLY, 1970, 77 (01): : 83 - &
[10] A Divergent Series
Stoica, George
AMERICAN MATHEMATICAL MONTHLY, 2017, 124 (10): : 976 - 976

← 1 2 3 4 5 →