On generalization of different type inequalities for harmonically quasi-convex functions via fractional integrals

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• 作者：İmdat İşcan ^{imdat.iscan@giresun.edu.tr" class="auth_mail" title="E-mail the corresponding author imdati@yahoo.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Hermite&ndash ; Hadamard inequality ; Riemann&ndash ; Liouville fractional integral ; Ostrowski inequality ; Simpson inequalityHarmonically quasi-convex function
• 刊名：Applied Mathematics and Computation
• 出版年：2016
• 出版时间：15 February 2016
• 年：2016
• 卷：275
• 期：Complete
• 页码：287-298
• 全文大小：308 K

文摘

In this paper, a new general identity for fractional integrals have been defined. By using of this identity, new estimates on generalization of Hadamard, Ostrowski and Simpson like type inequalities for harmonically quasi-convex functions via the Riemann–Liouville fractional integral have been obtained.