On the measurability and the Baire property of \(t\)-Wright-convex functions (Q1884750)
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scientific article; zbMATH DE number 2113893
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the measurability and the Baire property of \(t\)-Wright-convex functions |
scientific article; zbMATH DE number 2113893 |
Statements
On the measurability and the Baire property of \(t\)-Wright-convex functions (English)
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5 November 2004
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The main result of the paper shows that if a real function is \(t\)-Wright-convex and either Lebesgue measurable or Baire measurable, then it has to be a continuous convex function. The result thus obtained extends the analogous statements obtained for Jensen-convexity by Bernstein and Doetsch and by Sierpiński.
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convexity
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Wright convexity
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regularity properties
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0.9503546
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0.9384566
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0.92861193
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0.8929793
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0.89192975
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