Some weighted Hadamard and Ostrowski-type fractional inequalities for quasi-geometrically convex functions

被引:5
作者
Kalsoom, Humaira [1 ]
Latif, Muhammad Amer [2 ]
机构
[1] Nanjing Forestry Univ, Coll Sci, Nanjing 210037, Jiangsu, Peoples R China
[2] King Faisal Univ, Dept Basic Sci, Deanship Preparatory Year, Al Hufuf 31982, Al Hasa, Saudi Arabia
关键词
Fractional Calculus; Weighted Ostrowski-type inequalities; quasi-geometrically convex function; weighted fractional calculus; DIFFERENTIABLE MAPPINGS; REAL NUMBERS; PREINVEX;
D O I
10.2298/FIL2318921K
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is well knowledge that the purpose of inequality is to develop various approaches to math-ematical problem solving. In order to prove the originality and existence of mathematical techniques, it is now necessary to seek exact inequalities. In the present research, we propose some novel weighted fractional Ostrowski-type inequalities for functions which are differentiable and satisfy quasi-geometrically convex using a new identity. Moreover, outcomes for functions with a bounded first derivative are proved. Finally, some examples are given to illustrate the investigated results. The obtained results generalize and refine previously known results.
引用
收藏
页码:5921 / 5942
页数:22
相关论文
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