SOME NEW GENERALIZED RESULTS ON OSTROWSKI TYPE INTEGRAL INEQUALITIES WITH APPLICATION

被引：0

作者：

Qayyum, A. ^{[1
]}

Shoaib, M. ^{[2
]}

Faye, Ibrahima ^{[1
]}

机构：

[1] Univ Teknol Petronas, Dept Fundamental & Appl Sci, Tronoh, Malaysia

[2] Univ Hail, Dept Math, Hail 2440, Saudi Arabia

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2015年 / 19卷 / 04期

关键词：

GRUSS TYPE;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The aim of this paper is to establish some new inequalities similar to the Ostrowski's inequalities which are more generalized than the inequalities of Dragomir and Cerone. The current article obtains bounds for the deviation of a function from a combination of integral means over the end intervals covering the entire interval. Some new purterbed results are obtained. Application for cumulative distribution function is also discussed.

引用

页码：693 / 712

页数：20

共 17 条

[1]

Cerone P., 2000, Handbook of analytic-computational methods in applied mathematics

[2]

Cerone P., 2002, TAMKANG J MATH, V33

[3]

Chebyshev P.L., 1882, Proc. Math. Soc. Charkov, V2, P93

[4] Improvement of some Ostrowski-Gruss type inequalities [J].

Cheng, XL .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (1-2) :109-114

[5]

Dragomir S.S., 1999, RGMIA RES REPORT COL, V1, P67

[6]

Dragomir S.S., 1997, Tamkang J. of Math, V28, P239

[7]

Dragomir S.S., 1998, INDIAN J MATH, V40, P299

[8] An inequality of Ostrowski-Gruss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules [J].

Dragomir, SS ;

Wang, S .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1997, 33 (11) :15-20

[9] On the maximum absolute total of 1/b-a (a)integral(b) f(x)g(x)dx-1/(b-a)(2) (a)integral(b) f(x)dx (a)integral(b) g(x)dx. [J].

Gruss, G .

MATHEMATISCHE ZEITSCHRIFT, 1935, 39 :215-226

[10]

Hussain S., 2013, J INEQUAL APPL, V2013

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