Multiplicative properties of real functions with applications to classical functions (Q1972866)
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scientific article; zbMATH DE number 1436171
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiplicative properties of real functions with applications to classical functions |
scientific article; zbMATH DE number 1436171 |
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Multiplicative properties of real functions with applications to classical functions (English)
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2 March 2001
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The authors offer relations between geometrically convex [see e.g. \textit{D. Gronau} and \textit{J. Matkowski}, Math. Pannonica 4, No. 2, 153-160 (1993; Zbl 0791.33002)], convex, piecewise sub- and superadditive, sub- and supermultiplicative, monotonic and \(C^2\) functions, in particular for the gamma, zeta, logarithm and trigonometric functions, with applications to inequalities.
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subadditivity
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monotonicity
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inequalities
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trigonometric functions
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geometric convexity
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superadditivity
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submultiplicativity
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supermultiplicativity
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gamma function
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zeta function
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logarithm function
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