A Nice Separation of Some Seiffert-Type Means by Power Means
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-03
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Seiffert has defined two well-known trigonometric means denoted by ? and ?.
In a similar way it was defined by Carlson the logarithmic mean ℒ as a hyperbolic mean.
Neuman and Sándor completed the list of such means by another hyperbolic mean ℳ.
There are more known inequalities between the means ?, ?, and ℒ and some power means ?p.
We add to these inequalities two new results obtaining the following nice chain of inequalities ?0<ℒ
American Psychological Association (APA)
Costin, Iulia& Toader, Gheorghe. 2012. A Nice Separation of Some Seiffert-Type Means by Power Means. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-6.
https://search.emarefa.net/detail/BIM-471693
Modern Language Association (MLA)
Costin, Iulia& Toader, Gheorghe. A Nice Separation of Some Seiffert-Type Means by Power Means. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-6.
https://search.emarefa.net/detail/BIM-471693
American Medical Association (AMA)
Costin, Iulia& Toader, Gheorghe. A Nice Separation of Some Seiffert-Type Means by Power Means. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-6.
https://search.emarefa.net/detail/BIM-471693
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471693
