Journal
AXIOMS
Volume 11, Issue 5, Pages -Publisher
MDPI
DOI: 10.3390/axioms11050236
Keywords
Neuman-Sandor mean; arithmetic mean; contra-harmonic mean; bound; inequality; hyperbolic sine function; hyperbolic cosine function
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In this paper, the authors provide sharp upper and lower bounds for the Neuman-Sandor mean and present new inequalities involving hyperbolic sine and cosine functions.
In this paper, the authors provide several sharp upper and lower bounds for the Neuman-Sandor mean in terms of the arithmetic and contra-harmonic means, and present some new sharp inequalities involving hyperbolic sine function and hyperbolic cosine function.
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