New version of generalized Ostrowski-Gruss type inequality

被引：0

作者：

Bilal, Muhammad ^{[1
]}

Irshad, Nazia ^{[2
]}

Khan, Asif R. ^{[1
]}

机构：

[1] Univ Karachi, Dept Math, Univ Rd, Karachi 75270, Pakistan

[2] Dawood Univ Engn & Technol, Dept Math, MA Jinnah Rd, Karachi 74800, Pakistan

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2021年 / 66卷 / 03期

关键词：

Ostrowski-Gruss type inequality; Korkine's identity; probability density function; IMPROVEMENT;

D O I：

10.24193/subbmath.2021.3.03

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Ostrowski inequality is one of the celebrated inequalities in Mathematics. The main purpose of our study is to generalize the result of Ostrowski-Gruss type inequality for first differentiable mappings and apply it to probability density functions, composite quadrature rules and special means.

引用

页码：441 / 455

页数：15

共 17 条

[1] Alshanti WG, 2017, BULL MATH ANAL APPL, V9, P74
[2] Multivariate Ostrowski type inequalities
Anastassiou, GA
[J]. ACTA MATHEMATICA HUNGARICA, 1997, 76 (04) : 267 - 278
[3] Barnett N. S., 2001, DEMONSTR MATH, V34, P533
[4] Chebyshev P.L., 1882, Proc. Math. Soc. Charkov, V2, P93
[5] Improvement of some Ostrowski-Gruss type inequalities
Cheng, XL
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (1-2) : 109 - 114
[6] Dragomir S. S., 2000, TAMKANG J MATH, V31, P257
[7] A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means
Dragomir, SS
Cerone, P
Roumeliotis, J
[J]. APPLIED MATHEMATICS LETTERS, 2000, 13 (01) : 19 - 25
[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
Dragomir, SS
Wang, S
[J]. 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.
Gruss, G
[J]. MATHEMATISCHE ZEITSCHRIFT, 1935, 39 : 215 - 226
[10] Irshad N., 2021, CURRENT TOPICS MATH, V9

← 1 2 →