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Eurasian Mathematical Journal, 2012, том 3, номер 4, страницы 81–98
(Mi emj106)
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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Generalized fractional Steffensen type inequalities
J. Pečarića, I. Perića, K. Smoljak a University of Zagreb, Zagreb, Croatia
Аннотация:
In this paper, we state, prove and discuss new general Steffensen type inequality. As a special case of that general result we obtain fractional inequalities involving fractional integrals and derivatives of Riemann–Liouville, Canavati, Caputo, Hadamard and Erdelyi–Kóber types as well as fractional integrals of a function with respect to another function. Furthermore, we show that our main result covers much more general situations applying it to multidimensional settings. Finally we give mean value theorems for linear functionals related to obtained Steffensen type ineqalities.
Ключевые слова и фразы:
Steffensen inequality, fractional integrals and derivatives.
Поступила в редакцию: 20.01.2011
Образец цитирования:
J. Pečarić, I. Perić, K. Smoljak, “Generalized fractional Steffensen type inequalities”, Eurasian Math. J., 3:4 (2012), 81–98
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj106 https://www.mathnet.ru/rus/emj/v3/i4/p81
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Страница аннотации: | 283 | PDF полного текста: | 93 | Список литературы: | 45 |
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