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On inequalities of Hermite–Hadamard type involving an $s$-convex function with applications
Z. Liuab a University of Science and Technology Liaoning, Institute of Applied Mathematics, School of Science, Anshan 114051, Liaoning, China
b Room 2004, 4 Lane 123, Guiping Road, Shanghai 200233, China
Аннотация:
Motivated by a recent paper, the author provides some new integral inequalities of Hermite–Hadamard type involving the product of an $s$-convex function and a symmetric function and applies these new established inequalities to construct inequalities for special means.
Ключевые слова:
Hermite–Hadamard's integral inequality; $s$-convex function; symmetric function; Hölder inequality; mean.
Поступила в редакцию: 27.03.2016 Исправленный вариант: 22.06.2016 Принята в печать: 15.06.2016
Образец цитирования:
Z. Liu, “On inequalities of Hermite–Hadamard type involving an $s$-convex function with applications”, Пробл. анал. Issues Anal., 5(23):1 (2016), 3–20
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/pa204 https://www.mathnet.ru/rus/pa/v23/i1/p3
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Страница аннотации: | 121 | PDF полного текста: | 60 | Список литературы: | 23 |
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