IJPAM: Volume 105, No. 2 (2015)
BOUNDS FOR A TOADER-TYPE MEAN BY
ARITHMETIC AND CONTRAHARMONIC MEANS
ARITHMETIC AND CONTRAHARMONIC MEANS
Nali Li
, Tiehong Zhao
, Yile Zhao
Department of Mathematics
Hangzhou Normal University
Hangzhou, 311121, P.R. CHINA




Hangzhou Normal University
Hangzhou, 311121, P.R. CHINA
Abstract. In this paper, we present the best possible parameters and
with
such that the double inequalities
hold for all with
, as consequences, we provide several new bounds for the complete elliptic integral
of the second kind, where
,
and
are the Toader, arithmetic and contraharmonic means of
and
, respectively.
Received: September 20, 2015
AMS Subject Classification: 26E60
Key Words and Phrases: arithmetic mean, Toader mean, contraharmonic mean
Download paper from here.
DOI: 10.12732/ijpam.v105i2.11 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 105
Issue: 2
Pages: 257 - 268
Google Scholar; DOI (International DOI Foundation); WorldCAT.
This work is licensed under the Creative Commons Attribution International License (CC BY).