Gruss type integral inequalities for generalized Riemann-Liouville k-fractional integrals

被引：19
|
作者：
Mubeen, Shahid [1 ]
Iqbal, Sana [1 ]
机构：
[1] Univ Sargodha, Dept Math, Sargodha, Pakistan
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年
关键词：
Gruss inequality; Riemann-Liouville fractional integral; Pochhammar k-symbol; gamma k-function; inequalities;
D O I：
10.1186/s13660-016-1052-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Integral inequalities are considered to be important as they have many applications described by a number of researchers. Moreover, the theory of fractional calculus is used in solving differential, integral, and integro-differential equations and also in various other problems involving special functions. In this research article, we present the improved version of generalizations for a Gruss type integral inequality by taking a generalized Riemann-Liouville fractional integral in terms of a new parameter k > 0. We contribute in the on going research by providing mathematical results that can be verified easily.
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收藏
页数：13
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