On Ostrowski-type inequalities via Fink identity

被引：0

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, Croatia

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2023年 / 16卷 / 06期

关键词：

Ostrowski inequality; Fink identity; Green's function; Holder's inequality; integral mean;

D O I：

10.1142/S1793557123501085

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we use the well-known classical Fink identity and some new and previously defined Green's functions to derive new Ostrowski-type inequalities. For this purpose, we use some identities which are defined under the conditions of sum and integral. We also estimate the difference between the two integral means.

引用

页数：17

共 11 条

[1] 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

[2]

Butt SI, 2017, T A RAZMADZE MATH IN, V171, P293, DOI 10.1016/j.trmi.2017.04.003

[3]

FINK AM, 1992, CZECH MATH J, V42, P289

[4]

Khan A.R., ACCEPTED STUDIA UNIV

[5]

Khan A.R., 2017, MONOGRAPHS INEQUALIT, V12, P1

[6] On Ostrowski Type Inequalities via the Extended Version of Montgomery's Identity [J].

Khan, Asif R. ;

Nabi, Hira ;

Pecaric, Josip E. .

MATHEMATICS, 2022, 10 (07)

[7] Positivity of sums and integrals for n-convex functions via the Fink identity and new Green functions [J].

Khan, Asif R. ;

Pecaric, Josip .

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2021, 66 (04) :613-627

[8] Positivity of sums and integrals for n-convex functions via the Fink identity [J].

Khan, Asif R. ;

Pecaric, Josip E. ;

Praljak, Marjan ;

Varosanec, Sanja .

TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (02) :579-594

[9]

Matic M, 2001, MATH INEQUAL APPL, V4, P215

[10]

Ostrowski A., 1937, Commentarii Mathematici Helvetici, V10, P226, DOI DOI 10.1007/BF01214290

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