Support-type properties of generalized convex functions (Q847794)
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scientific article; zbMATH DE number 5673292
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Support-type properties of generalized convex functions |
scientific article; zbMATH DE number 5673292 |
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Support-type properties of generalized convex functions (English)
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19 February 2010
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The author extends a support-type property of higher-order convex functions proved by him in [J. Math. Anal. Appl. 332, No. 2, 1229--1241 (2007; Zbl 1122.26024)], for convex functions with respect to Chebyshev systems. Applications of this result are pointed out, too. The results are, however, too complicated to be stated here.
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Chebyshev system
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convexity
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generalized convexity
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characterization of convexity
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support theorem
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unique supports
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osculatory interpolation
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