The preservation of the convexity of functions (Q1898977)
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scientific article; zbMATH DE number 801029
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The preservation of the convexity of functions |
scientific article; zbMATH DE number 801029 |
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The preservation of the convexity of functions (English)
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4 February 1996
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The authors define a class of generalized convex functions, closed under the integral operator given by \[ W_g(f)(x)= \int^x_0 y'(x) f(t) dt/[g(t)- g(0)],\quad W_g(f)(0)= 0, \] and offer the result that only multiples of powers belong to the class.
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generalized convex functions
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integral operator
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0.90245503
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0.89190376
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0.8896276
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