Order relations among some interpolating families of means

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概要

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• Some interpolating families of means of two positive numberswith a parameter are studied. They are concerned with some ofthe most familiar means, i.e., the arithmetic, geometric, harmonic,logarithmic means and so on. Their monotonicity with respect to theparameter and the order relations among them are discussed.

• Dept. of Mathematics, Faculty of Science, University of Toyamaの論文

著者

• 中村 登

  不二越工業高等学校

• Nakamura Noboru

  Fujikoshi-kogyo Senior Highschool

• Nakamura Noboru

  Fujikoshi Technical High School

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• Lowner-Heinzの不等式についての一注意 (作用素および作用素不等式の最近の話題)
• MEAN THEORETIC OPERATOR FUNCTIONS FOR EXTENSIONS OF THE GRAND FURUTA INEQUALITY
• On the bifurcations of plane quadratic maps
• GEOMETRIC MEANS OF POSITIVE OPERATORS II
• LOWNER-HEINZ THEOREM AND OPERATOR MEANS
• GEOMETRIC OPERATOR MEAN INDUCED FROM THE RICCATI EQUATION
• Barbour path of operator monotone functions (Structural study of operators via spectra or numerical ranges)
• Weakly selfadjoint operators
• Order relations among some interpolating families of means
• Weakly selfadjoint operators II

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