SOME PERTURBED VERSIONS OF THE GENERALIZED TRAPEZOID INEQUALITY FOR FUNCTIONS OF BOUNDED VARIATION

被引：0

作者：

Liu, Wenjun ^{[1
]}

Park, Jaekeun ^{[2
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China

[2] Hanseo Univ, Dept Math, Chungnam Do 356706, Seosan Si, South Korea

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2017年 / 22卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Generalized Trapezoid inequality; Cumulative variation; Function of bounded variation; Lipschitzian function; Monotonic function; OSTROWSKI TYPE INEQUALITIES; FRACTIONAL INTEGRALS; CONVEX FUNCTIONS; H-CONVEX; COMPANION; MAPPINGS; RULES; TERMS;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we establish some perturbed versions of the generalized Trapezoid inequality for functions of bounded variation in terms of the cumulative variation function.

引用

页码：11 / 18

页数：8

共 50 条

[1] On the generalization of Trapezoid Inequality for functions of two variables with bounded variation and applications
Budak, Huseyin
Sarikaya, Mehmet Zeki
[J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2015, 7 (01): : 77 - 85
[2] A companion of the generalised trapezoid inequality for functions of two variables with bounded variation and applications
Budak, Huseyin
Sarikaya, Mehmet Zeki
[J]. INTERNATIONAL JOURNAL OF APPLIED NONLINEAR SCIENCE, 2016, 2 (04) : 311 - 327
[3] Some perturbed Ostrowski type inequalities for functions of bounded variation
Dragomir, S. S.
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2015, 8 (04)
[4] On some generalizations of Ostrowski inequality for Lipschitz functions and functions of bounded variation
Dedic, L
Matic, M
Pecaric, J
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2000, 3 (01): : 1 - 14
[5] Some generalized fractional trapezoid and Ostrowski type inequalities for functions with bounded partial derivatives
Budak, Huseyin
Ozcelik, Kubilay
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (18) : 14643 - 14663
[6] Trapezoid type inequalities for generalized Riemann-Liouville fractional integrals of functions with bounded variation
Dragomir, Silvestru Sever
[J]. ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2020, 12 (01) : 30 - 53
[7] FUNCTIONS OF GENERALIZED BOUNDED VARIATION
PERLMAN, SJ
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (03): : A325 - A325
[8] FUNCTIONS OF A BOUNDED GENERALIZED VARIATION
LEONOV, AS
[J]. DOKLADY AKADEMII NAUK SSSR, 1979, 249 (04): : 787 - 789
[9] ON FUNCTIONS OF GENERALIZED BOUNDED VARIATION
LUKASHENKO, TP
[J]. MATHEMATICS OF THE USSR-IZVESTIYA, 1982, 46 (02): : 267 - 301
[10] Refinements of the generalised trapezoid and Ostrowski inequalities for functions of bounded variation
Sever S. Dragomir
[J]. Archiv der Mathematik, 2008, 91 : 450 - 460

← 1 2 3 4 5 →