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Sharp Bounds for the Weighted Geometric Mean of the First Seiffert and Logarithmic Means in terms of Weighted Generalized Heronian Mean
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-30
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
Optimal bounds for the weighted geometric mean of the first Seiffert and logarithmic means by weighted generalized Heronian mean are proved.
We answer the question: for α∈(0,1), what the greatest value p(α) and the least value q(α) such that the double inequality, Hp(α)(a,b)
0 with a≠b are.
Here, P(a,b),L(a,b), and Hω(a,b) denote the first Seiffert, logarithmic, and weighted generalized Heronian means of two positive numbers a and b, respectively.
American Psychological Association (APA)
Matejíčka, Ladislav. 2013. Sharp Bounds for the Weighted Geometric Mean of the First Seiffert and Logarithmic Means in terms of Weighted Generalized Heronian Mean. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-493349
Modern Language Association (MLA)
Matejíčka, Ladislav. Sharp Bounds for the Weighted Geometric Mean of the First Seiffert and Logarithmic Means in terms of Weighted Generalized Heronian Mean. Abstract and Applied Analysis No. 2013 (2013), pp.1-4.
https://search.emarefa.net/detail/BIM-493349
American Medical Association (AMA)
Matejíčka, Ladislav. Sharp Bounds for the Weighted Geometric Mean of the First Seiffert and Logarithmic Means in terms of Weighted Generalized Heronian Mean. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-493349
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493349