Some Double Generalized Weighted Fractional Integral Inequalities Associated with Monotone Chebyshev Functionals

被引:2
作者
Rahman, Gauhar [1 ]
Aldosary, Saud Fahad [2 ]
Samraiz, Muhammad [3 ]
Nisar, Kottakkaran Sooppy [2 ]
机构
[1] Hazara Univ, Dept Math & Stat, Mansehra 21300, Pakistan
[2] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Al-Kharj 11991, Saudi Arabia
[3] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan
关键词
measurable function; Chebyshev functionals; integral inequalities; monotone; weighted fractional integral;
D O I
10.3390/fractalfract5040275
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this manuscript, we study the unified integrals recently defined by Rahman et al. and present some new double generalized weighted type fractional integral inequalities associated with increasing, positive, monotone and measurable function F. Also, we establish some new double-weighted inequalities, which are particular cases of the main result and are represented by corollaries. These inequalities are further refinement of all other inequalities associated with increasing, positive, monotone and measurable function existing in literature. The existing inequalities associated with increasing, positive, monotone and measurable function are also restored by applying specific conditions as given in Remarks. Many other types of fractional integral inequalities can be obtained by applying certain conditions on F and psi given in the literature.
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页数:18
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