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On inequalities related to some quasi-convex functions
Z. Liu University of Science and Technology Liaoning
Institute of Applied Mathematics, School of Science,
Anshan 114051, Liaoning, China
Аннотация:
Estimations of errors in inequalities related to some quasi-convex functions in literature are simplified. Two new general
inequalities for functions whose $n$-th derivatives for any positive integer $n$ in absolute values are quasi-convex have been established. Some special cases are discussed with applications in numerical integration and special means.
Ключевые слова:
inequalities, quasi-convex function, Simpson type rule, numerical integration, special means.
Поступила в редакцию: 05.09.2015 Исправленный вариант: 11.11.2015
Образец цитирования:
Z. Liu, “On inequalities related to some quasi-convex functions”, Пробл. анал. Issues Anal., 4(22):2 (2015), 45–64
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/pa195 https://www.mathnet.ru/rus/pa/v22/i2/p45
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Страница аннотации: | 105 | PDF полного текста: | 38 | Список литературы: | 65 |
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