Optimal bounds for a toader type mean using arithmetic and geometric means

Wei Mao Qian; W. E.N. Zhang; Yu Ming Chu

Optimal bounds for a toader type mean using arithmetic and geometric means

Wei Mao Qian
, W. E.N. Zhang
, Yu Ming Chu

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In the aritcle, we prove that the double inequalities (forumala Presented)., and find new bounds for the complete elliptic integral (forumala Presented). of the second kind, where G(a, b) = (Formula Presented) and A(a, b) = (a + b)/2 are respectively the geometric, Toader and arithmetic means of a and b.

Original language	English
Pages (from-to)	560-566
Number of pages	7
Journal	Journal of Computational Analysis and Applications
Volume	28
Issue number	3
State	Published - May 2020

Keywords

Arithmetic mean
Geometric mean
Toader mean

Cite this

@article{6da9a3967e1548bb8e3693bc47dfb967,

title = "Optimal bounds for a toader type mean using arithmetic and geometric means",

abstract = "In the aritcle, we prove that the double inequalities (forumala Presented)., and find new bounds for the complete elliptic integral (forumala Presented). of the second kind, where G(a, b) = (Formula Presented) and A(a, b) = (a + b)/2 are respectively the geometric, Toader and arithmetic means of a and b.",

keywords = "Arithmetic mean, Geometric mean, Toader mean",

author = "Qian, \{Wei Mao\} and Zhang, \{W. E.N.\} and Chu, \{Yu Ming\}",

year = "2020",

month = may,

language = "English",

volume = "28",

pages = "560--566",

journal = "Journal of Computational Analysis and Applications",

issn = "1521-1398",

publisher = "Eudoxus Press, LLC",

number = "3",

}

TY - JOUR

T1 - Optimal bounds for a toader type mean using arithmetic and geometric means

AU - Qian, Wei Mao

AU - Zhang, W. E.N.

AU - Chu, Yu Ming

PY - 2020/5

Y1 - 2020/5

N2 - In the aritcle, we prove that the double inequalities (forumala Presented)., and find new bounds for the complete elliptic integral (forumala Presented). of the second kind, where G(a, b) = (Formula Presented) and A(a, b) = (a + b)/2 are respectively the geometric, Toader and arithmetic means of a and b.

AB - In the aritcle, we prove that the double inequalities (forumala Presented)., and find new bounds for the complete elliptic integral (forumala Presented). of the second kind, where G(a, b) = (Formula Presented) and A(a, b) = (a + b)/2 are respectively the geometric, Toader and arithmetic means of a and b.

KW - Arithmetic mean

KW - Geometric mean

KW - Toader mean

UR - https://www.scopus.com/pages/publications/85063610504

M3 - Article

AN - SCOPUS:85063610504

SN - 1521-1398

VL - 28

SP - 560

EP - 566

JO - Journal of Computational Analysis and Applications

JF - Journal of Computational Analysis and Applications

IS - 3

ER -

Optimal bounds for a toader type mean using arithmetic and geometric means

Abstract

Keywords

Fingerprint

Cite this