WEIGHTED MONTGOMERY IDENTITY AND WEIGHTED HADAMARD INEQUALITIES

被引：1

作者：

Kovac, Sanja ^{[1
]}

Pecaric, Josip ^{[2
]}

Penava, Mihaela Ribicic ^{[3
]}

机构：

[1] Univ Zagreb, Fac Geotech Engn, Hallerova Aleja 7, Varazhdin 42000, Croatia

[2] Croatian Acad Sci & Arts, Zagreb, Croatia

[3] Josip Juraj Strossmayer Univ Osijek, Sch Appl Math & Informat, Trg Ljudevita Gaja 6, Osijek 31000, Croatia

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2024年 / 18卷 / 01期

关键词：

Weight function; Montgomery identity; Hermite-Hadamard inequality; integralformula;

D O I：

10.7153/jmi-2024-18-16

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the extension of the weighted Montgomery identity is established by using the integral formula of Pecaric, MaticandUjevic. Further, by using this extended weighted Montgomery identity for functions whose derivatives of order n-1 are absolutely continunous functions, new inequalities of the weighted Hermite-Hadamard type are obtained. Also, applications of these results are given for various types of weight function.

引用

页码：271 / 285

页数：15

共 9 条

[1]

Aljinovic A. A., 2013, General Integral Identities and Related Inequalities

[2] Fejer type inequalities for higher order convex functions and quadrature formulae [J].

Baric, J. ;

Kvesic, Lj ;

Pecaric, J. ;

Penava, M. Ribicic .

AEQUATIONES MATHEMATICAE, 2022, 96 (02) :417-430

[3] ESTIMATES ON SOME QUADRATURE RULES VIA WEIGHTED HERMITE-HADAMARD INEQUALITY [J].

Baric, Josipa ;

Kvesic, Ljiljanka ;

Pecaric, Josip ;

Penava, Mihaela Ribicic .

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2022, 16 (01) :232-245

[4]

Kovac S, 2010, MATH INEQUAL APPL, V13, P579

[5]

Maric M, 2000, J INEQUAL APPL, V5, P639

[6]

Mitrinovic DS, 1994, Mathematics and its Applications (East European Series)

[7]

Pearic J., 1980, Bul. Inst. Politehn. Timisoara, V25, P10

[8] Refinements of the integral form of Jensen's and the Lah-Ribaric inequalities and applications for Csiszar divergence [J].

Pecaric, J. ;

Peric, J. .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)

[9]

Pecaric J., 1992, Convex functions, partial orderings, and statistical applications

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