On Ostrowski Type Inequalities via the Extended Version of Montgomery's Identity

被引:1
作者
Khan, Asif R. [1 ]
Nabi, Hira [1 ]
Pecaric, Josip E. [2 ]
机构
[1] Univ Karachi, Dept Math, Univ Rd, Karachi 75270, Pakistan
[2] Croat Acad Sci & Arts, Zagreb 10000, Croatia
关键词
Ostrowski's inequality; Montgomery's identity; Green's function; Holder's inequality; 2 INTEGRAL MEANS; CONVEX FUNCTIONS; DIFFERENCE;
D O I
10.3390/math10071113
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we obtain new Ostrowski type inequalities by using the extended version of Montgomery identity and Green's functions. We also give estimations of the difference between two integral means.
引用
收藏
页数:17
相关论文
共 19 条
[1]   ON SOME OSTROWSKI TYPE INEQUALITIES VIA MONTGOMERY IDENTITY AND TAYLOR'S FORMULA II [J].
Aljinovic, A. Aglic ;
Pecaric, J. ;
Vukelic, A. .
TAMKANG JOURNAL OF MATHEMATICS, 2005, 36 (04) :279-301
[2]  
Aljinovic AA, 2004, MATH INEQUAL APPL, V7, P315
[3]   Comparing two integral means for absolutely continuous mappings whose derivatives are in L∞[a, b] and applications [J].
Barnett, NS ;
Cerone, P ;
Dragomir, SS ;
Fink, AM .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 44 (1-2) :241-251
[4]  
Butt S.I., New generalization of Popoviciu type inequalities via new Green functions and Taylor's formula
[5]  
Dragomir SS, 2015, ACTA MATH UNIV COMEN, V84, P63
[6]  
Dragomir S.S., 2017, RGMIA RES REP COLL, V20, P1
[7]  
Khan A.R., 2017, J. Math. Inequal., Monographs in Inequalities, V9, P269
[8]  
Khan A. R., POSITIVITY SUMS INTE
[9]   Weighted averages ofn-convex functions via extension of Montgomery's identity [J].
Khan, Asif R. ;
Pecaric, Josip E. ;
Praljak, Marjan .
ARABIAN JOURNAL OF MATHEMATICS, 2020, 9 (02) :381-392
[10]   Popoviciu type inequalities for n-convex functions via extension of Montgomery identity [J].
Khan, Asif R. ;
Pecaric, Josip ;
Praljak, Marjan .
Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica, 2016, 24 (03) :161-188