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Journal of Mathematical Inequalities Volume 1, Number 1 (2007), 127–136
SCHUR–CONVEX FUNCTIONS RELATED TO HADAMARD–TYPE INEQUALITIES
HUAN-NAN SHI
Abstract. The Schur-convexity on the upper and the lower limit of the integral for a mean of
the convex function is researched. As applications, a generalized logarithmic mean with a
parameter is obtained and a relevant double inequality that is a extension of the known inequality
is established.
Mathematics subject classification (2000): 26D15, 26A51.
Key words and phrases: Schur-convex function, inequality, Hadamard's inequality; generalized
logarithmic mean.
SCHUR–CONVEX FUNCTIONS RELATED.pdf
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