Exploring s-e-condition and applications to some Ostrowski type inequalities via Hadamard fractional integrals

被引：18
|
作者：
Wang, JinRong [1 ]
Deng, JianHua [1 ]
Feckan, Michal [2 ,3 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] Comenius Univ, Dept Math Anal & Numer Math, Fac Math Phys & Informat, SK-84248 Bratislava, Slovakia
[3] Slovak Acad Sci, Math Inst, SK-81473 Bratislava, Slovakia
来源：
MATHEMATICA SLOVACA | 2014年 / 64卷 / 06期
关键词：
Ostrowski type inequalities; Hadamard fractional integrals; s-e-condition; CONVEX-FUNCTIONS; SPACES;
D O I：
10.2478/s12175-014-0281-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a new identity for Hadamard fractional integrals via differentiable mappings is established. A new concept named by s-e-condition is explored to overcome some essence difficulties from the singular kernels in Hadamard fractional integrals. With the help of the new concept s-e-condition and the obtained identity for Hadamard fractional integrals, some new Ostrowski type inequalities for Hadamard fractional integrals are obtained.
引用
收藏
页码：1381 / 1396
页数：16
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