Jakšetić, Julije and Pečarić, Josip
(2013)
*Exponential convexity, Euler - Radau expansions and Stolarsky means.*
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*Exponential convexity, Euler - Radau expansions and Stolarsky means.*
Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti, 17.
pp. 81-94.
ISSN 1845-4100.
Vrsta rada: ["eprint_fieldopt_article_type_article" not defined].
.
Točan broj autora: 2.

## Abstract

We use Euler and Radau two-point formulas in order to generalize Cauchy means defined in [5] that are closely related to Stolarsky means. The gain of this approach is twofold. First, we are able to construct exponentially convex functions that are an essential ingredient of our new means since this fact leads to proof of monotonicity of constructed Cauchy means. Second, constructed exponentially convex functions are added as non-trivial to sparse examples of exponentially convex functions since invention of exponential convexity back to 1929.

Item Type: | Article (["eprint_fieldopt_article_type_article" not defined]) |
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Keywords (Croatian): | General two-point formulae, Stolarsky means, exponential convexity, Cauchy means |

Subjects: | NATURAL SCIENCES > Mathematics |

Divisions: | 1500 Chair of Mathematics |

Date Deposited: | 22 Sep 2016 12:53 |

Last Modified: | 23 May 2017 07:05 |

URI: | http://repozitorij.fsb.hr/id/eprint/6944 |

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