Summary.
From the characterisation of geometrically convex and geometrically concave functions defined on (0,A] or \( [A,\infty) \) with \( A > 0 \), by means of their multiplicative conditions, we obtain unified proofs of some known and new inequalities. Functions of class C 2 and strictly increasing on (a,b) fulfil some kind of supermultiplicativity and superadditivity. We have obtained a new constant determining the intervals of sub- and supermultiplicativity for the log function.
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Received: May 28, 1998; revised version: March 2, 1999.
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Finol, C., Wójtowicz, M. Multiplicative properties of real functions with applications to classical functions. Aequ. math. 59, 134–149 (2000). https://doi.org/10.1007/PL00000120
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DOI: https://doi.org/10.1007/PL00000120