SOME CAPUTO k-FRACTIONAL DERIVATIVES OF OSTROWSKI TYPE CONCERNING (n

被引：0
|
作者：
Kashuri, Artion [1 ]
Liko, Rozana [1 ]
机构：
[1] Univ Ismail Qemali, Fac Tech Sci, Dept Math, Vlora, Albania
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2019年 / 68卷 / 01期
关键词：
Ostrowski type inequality; Holder's inequality; Minkowski inequality; power mean inequality; Caputo k-fractional derivatives; s-convex function in the second sense; m-invex; INTEGRAL-INEQUALITIES; CONVEX FUNCTIONS; SIMPSON TYPE; GRUSS TYPE; SHARP INEQUALITIES;
D O I：
10.31801/cfsuasmas.501430
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we first presented some integral inequalities for Gauss-Jacobi type quadrature formula involving generalized relative semi(r: m, p, q, h(1), h(2))-preinvex mappings. And then, a new identity concerning (n+1)-differentiable mappings de.ned on m-invex set via Caputo k-fractional derivatives is derived. By using the notion of generalized relative semi-(r, m, p, q, h(1), h(2))-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Ostrowski type inequalities via Caputo k-fractional derivatives are established. It is pointed out that some new special cases can be deduced from main results of the article.
引用
收藏
页码：973 / 996
页数：24
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