Эта публикация цитируется в 3 статьях

Статьи, опубликованные в английской версии журнала

Converses of Jessen's Inequality on Time Scales

J. Barić^a, M. Bohner^b, R. Jakšić^c, J. Pečarić<sup>c

a</sup> Faculty of Electrical Engineering, Mechanical Engineering, and Naval Architecture, University of Split, Split, Croatia
^b Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, USA
^c Faculty of Textile Technology, University of Zagreb, Zagreb, Croatia

Аннотация: In this paper, some converses of Jessen's inequality, in terms of the time scale calculus, are proved. The obtained results are used to derive new converse inequalities for generalized means, power means and Hölder's inequality.

Ключевые слова: time scale, linear functional, Jessen's inequality, converses, means, Hölder's inequality.

Поступило: 03.10.2013
Исправленный вариант: 16.04.2015

Язык публикации: английский

 Англоязычная версия: Mathematical Notes, 2015, 98:1, 11–24

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