On the p-Version of the Schwab-Borchardt Mean
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-13
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper deals with a one-parameter generalization of the Schwab-Borchardt mean.
The new mean is defined in terms of the inverse functions of the generalized trigonometric and generalized hyperbolic functions.
The four new bivariate means are introduced as particular cases of the p-version of the Schwab-Borchardt mean.
For the particular value of the parameter p, these means become either the classical logarithmic mean or the Seiffert means or the Neuman-Sándor mean.
Wilker- and Huygens-type inequalities involving inverse functions of the generalized trigonometric and the generalized hyperbolic functions are also established.
American Psychological Association (APA)
Neuman, Edward. 2014. On the p-Version of the Schwab-Borchardt Mean. International Journal of Mathematics and Mathematical Sciences،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-491464
Modern Language Association (MLA)
Neuman, Edward. On the p-Version of the Schwab-Borchardt Mean. International Journal of Mathematics and Mathematical Sciences No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-491464
American Medical Association (AMA)
Neuman, Edward. On the p-Version of the Schwab-Borchardt Mean. International Journal of Mathematics and Mathematical Sciences. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-491464
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491464