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Your search keyword '"Hölder means"' showing total 4 results
Start Over Descriptor "Hölder means" Topic convexity
4 results on '"Hölder means"'

2. Convexity with respect to families of means.

Author

Maksa, Gyula and Páles, Zsolt

Subjects
*CONVEX domains, *CONTINUITY, *MATHEMATICS, *ARITHMETIC, *CONVEX functions, *REAL variables
Abstract

In this paper we investigate continuity properties of functions $${f : \mathbb {R}_+ \to \mathbb {R}_+}$$ that satisfy the ( p, q)-Jensen convexity inequality where H stands for the pth power (or Hölder) mean. One of the main results shows that there exist discontinuous multiplicative functions that are ( p, p)-Jensen convex for all positive rational numbers p. A counterpart of this result states that if f is ( p, p)-Jensen convex for all $${p \in P \subseteq \mathbb {R}_+}$$ , where P is a set of positive Lebesgue measure, then f must be continuous. [ABSTRACT FROM AUTHOR]

Published
2015
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4. Convexity with respect to Hölder mean involving zero-balanced hypergeometric functions

Author

Xiaohui Zhang, Yu-Ming Chu, and Gendi Wang

Subjects
Basic hypergeometric series, Pure mathematics, Hölder means, Hypergeometric function of a matrix argument, Confluent hypergeometric function, Applied Mathematics, Mathematical analysis, Zero (complex analysis), Mathematics::Classical Analysis and ODEs, Generalized hypergeometric function, Convexity, Schwarz's list, Computer Science::Symbolic Computation, Hypergeometric function, Analysis, Mathematics
Abstract

In this note we investigate the convexity of zero-balanced hypergeometric functions with respect to Hölder mean.

Published
2009
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