A Nice Separation of Some Seiffert-Type Means by Power Means | Zendy

Iulia Costin | Zendy; Gheorghe Toader | Zendy

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A Nice Separation of Some Seiffert-Type Means by Power Means

Author(s) -

Iulia Costin,

Gheorghe Toader

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/430692

Subject(s) - mathematics , combinatorics , matrix (chemical analysis) , font , scalable vector graphics , arithmetic , computer science , artificial intelligence , materials science , composite material , world wide web

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 . We add to these inequalities two new results obtaining the following nice chain of inequalities 0<ℒ<1/2<<1<ℳ<3/2<<2, where the power means are evenly spaced with respect to their order

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