Several Gruss' type inequalities for the complex integral

被引：0

作者：

Dragomir, Silvestru Sever ^{[1
,2
]}

机构：

[1] Victoria Univ, Coll Engn & Sci, Math, POB 14428, Melbourne, MC 8001, Australia

[2] Univ Witwatersrand, Sch Comp Sci & Appl Math, DST NRF Ctr Excellence Math & Stat Sci, Private Bag 3, ZA-2050 Johannesburg, South Africa

来源：

JOURNAL OF ANALYSIS | 2021年 / 29卷 / 01期

关键词：

Complex integral; Continuous functions; Holomorphic functions; Gruss inequality; 26D15; 26D10; 30A10; 30A86; TRAPEZOID-TYPE INEQUALITIES; UNITARY OPERATORS; CIRCLE;

D O I：

10.1007/s41478-020-00268-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Assume that f and g are continuous on gamma, gamma subset of C is a piecewise smooth path parametrized by zIn this paper we establish some bounds for the magnitude of the functional D gamma and a related version of this under various assumptions for the functions f and g and provide some examples for circular paths.

引用

页码：337 / 351

页数：15

共 50 条

[41] Gruss type integral inequalities for generalized Riemann-Liouville k-fractional integrals
Mubeen, Shahid
Iqbal, Sana
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
[42] A note to inequalities of Euler-Gruss type
Xu, Aimin
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2006, 52 (6-7) : 941 - 952
[43] Gruss Type Operator Inequalities on Time Scales
Georgiev, Svetlin Georgiev
Darvish, Vahid
FILOMAT, 2022, 36 (02) : 387 - 396
[44] A NOTE ON GRUSS TYPE INEQUALITIES ON TIME SCALES
Sarikaya, Mehmet Zeki
DYNAMIC SYSTEMS AND APPLICATIONS, 2008, 17 (3-4): : 663 - 666
[45] On the generalization of Ostrowski and Gruss type discrete inequalities
Set, Erhan
Sarikaya, Mehmet Zeki
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (01) : 455 - 461
[46] Generalized Ostrowski-Gruss-type Inequalities
Gonska, Heiner
Rasa, Ioan
Rusu, Maria-Daniela
RESULTS IN MATHEMATICS, 2012, 62 (3-4) : 311 - 318
[47] Some inequalities of Euler-Gruss type
Dedic, L
Matic, M
Pecaric, J
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 41 (7-8) : 843 - 856
[48] Some New Chebyshev and Gruss-type Integral Inequalities for Saigo Fractional Integral Operators and Their q-analogues
Yang, Wengui
FILOMAT, 2015, 29 (06) : 1269 - 1289
[49] Gruss type inequalities in inner product modules
Ilisevic, D
Varosanec, S
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (11) : 3271 - 3280
[50] Gruss type inequalities for generalized fractional integrals
Erden, Samet
Sarikaya, Mehmet Zeki
Budak, Huseyin
INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016, 2016, 1726

← 1 2 3 4 5 →