A generalization of multiple Wright-convex functions via randomization (Q662100)
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scientific article; zbMATH DE number 6005712
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalization of multiple Wright-convex functions via randomization |
scientific article; zbMATH DE number 6005712 |
Statements
A generalization of multiple Wright-convex functions via randomization (English)
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11 February 2012
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The author considers a general class of nonnegative real functions, which are generalizations of \(n\)-Wright-convex functions introduced by \textit{A. Gilányi} and \textit{Zs. Páles} [Math. Inequal. Appl. 11, No. 2, 271--282 (2008; Zbl 1141.26304)], and studied also by \textit{Gy. Maksa} and \textit{Zs. Páles} [J. Math. Anal. Appl. 359, No. 2, 439--443 (2009; Zbl 1175.26027)]. Series and integral representations, along with many consequences are proved. The results are, however, too complicated to be presented here.
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convexity
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higher-order convexity
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multiple monotone function
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higher-order Wright-convexity
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completely monotone function
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difference operator
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