On Some Means Derived from the Schwab–borchardt Mean Ii
نویسنده
چکیده
Sharp bounds for four bivariate means derived from the Schwab-Borchardt mean are obtained. The bounding quantities are either geometric or arithmetic convex combinations of two generating means. The four means discussed in this paper have been introduced and studied in [13]. Mathematics subject classification (2010): 26E60, 26D05, 26D07.
منابع مشابه
On Some Means Derived from the Schwab–borchardt Mean
Bivariate means defined as the Schwab-Borchardt mean of two bivariate means are investigated. Explicit formulas for those means are obtained. It is demonstrated that they interpolate inequalities connecting the well known bivariate means. Optimal bounds for the means under discussion are also obtained. The bounding quantities are convex combinations of the generating means.
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