A companion of the generalised trapezoid inequality for functions of two variables with bounded variation and applications

被引：0

作者：

Budak, Huseyin ^{[1
]}

Sarikaya, Mehmet Zeki ^{[1
]}

机构：

[1] Duezce Univ, Fac Sci & Arts, Dept Math, Duezce, Turkey

来源：

INTERNATIONAL JOURNAL OF APPLIED NONLINEAR SCIENCE | 2016年 / 2卷 / 04期

关键词：

function of bounded variation; Ostrowski type inequalities; Riemann-Stieltjes integrals; cubature formula;

D O I：

10.1504/IJANS.2016.10006731

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a companion of trapezoid inequality for functions of two independent variables with bounded variation is established and some applications for general cubature formula are given.

引用

页码：311 / 327

页数：17

共 50 条

[41] Trapezoid type inequalities for generalized Riemann-Liouville fractional integrals of functions with bounded variation
Dragomir, Silvestru Sever
ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2020, 12 (01) : 30 - 53
[42] Jensen's operator inequality for functions of two variables
Hansen, F
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (07) : 2093 - 2102
[43] Regularization by Functions of Bounded Variation and Applications to Image Enhancement
E. Casas
K. Kunisch
C. Pola
Applied Mathematics and Optimization, 1999, 40 : 229 - 257
[44] Regularization by functions of bounded variation and applications to image enhancement
Casas, E
Kunisch, K
Pola, C
APPLIED MATHEMATICS AND OPTIMIZATION, 1999, 40 (02): : 229 - 257
[45] FUNCTIONS OF BOUNDED VARIATION, SUMMABLE FAMILIES, AND APPLICATIONS TO NUCLEARITY
TERRACHER, PH
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1976, 282 (17): : 987 - 990
[46] Regularization by functions of bounded variation and applications to image enhancement
Departamento de Matemática Aplicada y Ciencias de la Computación, E.T.S.I. Industriales y de Telecomunicación, Universidad de Cantabria, Av. Los Castros s/n, 39071 Santander, Spain
不详
不详
Appl Math Optim, 2 (229-257):
[47] On Uniform Approximation in R2 of Continuous Functions of Two Variables with Bounded Variation in the Sense of Hardy
N. Yu. Dodonov
V. V. Zhuk
Journal of Mathematical Sciences, 2004, 122 (3) : 3184 - 3211
[48] Functions of several variables with bounded variation in ill-posed problems
Leonov, AS
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1996, 36 (09) : 1193 - 1203
[49] Refinement of the Jensen Inequality for Convex Functions of Several Variables with Applications
Khan, Muhammad Adil
Pecaric, Josip
THAI JOURNAL OF MATHEMATICS, 2022, 20 (03): : 1137 - 1147
[50] ON THE HERMITE-HADAMARD INEQUALITY FOR CONVEX FUNCTIONS OF TWO VARIABLES
Lyu, Shu-Lin
NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2014, 4 (01): : 1 - 8

← 1 2 3 4 5 →