EXTENSION OF AN INEQUALITY OF H. ALZER FOR NEGATIVE POWERS

被引：8

作者：

Chen, Chao-Ping ^{[1
]}

Qi, Feng ^{[1
]}

机构：

[1] Jiaozuo Inst Technol, Dept Appl Math & Informat, 142 Mid Jiefang Rd, Jiaozuo City 454000, Henan, Peoples R China

来源：

TAMKANG JOURNAL OF MATHEMATICS | 2005年 / 36卷 / 01期

关键词：

Inequality; power mean; Lagrange's mean value theorem; mathematical indution;

D O I：

10.5556/j.tkjm.36.2005.137

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show that let n be a natural number, then for all real numbers r, n/n+1 < (1/n Sigma(n)(i=1) i(r) / 1/n + 1 Sigma(n+1)(i=1) i(r) )(1/r) < 1. Both bounds are best possible. This extends a result of H. Alzer, who established this inequality for r > 0

引用

页码：69 / 72

页数：4

共 50 条

[41] A theorem of H.!Hopf and the Cauchy-Riemann inequality II
Alencar, Hilario
Do Carmo, Manfredo
Fernandez, Isabel
Tribuzy, Renato
[J]. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2007, 38 (04): : 525 - 532
[42] A theorem of H. Hopf and the Cauchy-Riemann inequality II
Hilário Alencar
Manfredo do Carmo
Isabel Fernández*
Renato Tribuzy
[J]. Bulletin of the Brazilian Mathematical Society, New Series, 2007, 38 : 525 - 532
[43] Terminal Ileum MALToma in an H. pylori Negative Patient
Wojtkowski, Antoni
Pandit, Sarbagya
Atia, George
Chalise, Shyam
[J]. AMERICAN JOURNAL OF GASTROENTEROLOGY, 2018, 113 : S1380 - S1380
[44] H. pylori Negative Diffuse Russell Body Gastropathy
Postacchini, Mark
Postacchini, Izabela
Sargon, Peter
Ali, Asya
Kavin, Hymie
[J]. AMERICAN JOURNAL OF GASTROENTEROLOGY, 2012, 107 : S286 - S286
[45] AN INEQUALITY FOR THE HEIGHT OF THE POWERS OF A POLYNOMIAL
VITOLO, A
ZANNIER, U
[J]. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1990, 4A (03): : 399 - 403
[46] THE CONVOLUTION INEQUALITY FOR ENTROPY POWERS
BLACHMAN, NM
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1965, 11 (02) : 267 - 271
[47] H. H. Skinner DEATH
不详
[J]. VETERINARY RECORD, 2011, 168 (24) : 648 - 648
[48] Antibiotic Therapy of H. Pylori Negative Gastric MALT Lymphoma
Lee, Seung Tae
Teegavarupu, Purnima
Karri, Anusha
Anireddy, Saswatha
Hagemeister, Fredrick B.
Romaguera, Jorge E.
Fayad, Luis
Rodriguez, Maria A.
Samaniego, Felipe
Fowler, Nathan
Oki, Yasuhiro
Turturro, Francesco
Westin, Jason R.
Kwak, Larry W.
Dabaja, Bouthaina S.
Feng, Lei
Davis, R. Eric
Neelapu, Sattva S.
[J]. BLOOD, 2014, 124 (21)
[49] Are H. pylori Biopsies Warranted in Patients With Prior Negative Results?
Loh, Joyce
Rouphael, Carol
McMichael, John
Lyu, Ruishen
Click, Benjamin
[J]. AMERICAN JOURNAL OF GASTROENTEROLOGY, 2021, 116 : S635 - S635
[50] H. H. Skinner DEATH
不详
[J]. VETERINARY RECORD, 2011, 168 (16) : 435 - U59

← 1 2 3 4 5 →