Equivalent Property of the Reverse Hardy-Type Integral Inequalities

On Hilbert-Type and Hardy-Type Integral Inequalities and Applications - SpringerBriefs in Mathematics ◽

10.1007/978-3-030-29268-3_5 ◽

2019 ◽

pp. 109-145

Author(s):

Bicheng Yang ◽

Michael Th. Rassias

Keyword(s):

Integral Inequalities ◽

Type Integral ◽

Equivalent Property

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CLASSES OF FUNCTIONS FULFILLING SECOND ORDER HARDY TYPE INTEGRAL INEQUALITIES ON THE EXAMPLE OF 'STANDARD' HARDY INEQUALITY

EQUADIFF 2003 ◽

10.1142/9789812702067_0206 ◽

2005 ◽

Author(s):

KATARZYNA WOJTECZEK

Keyword(s):

Hardy Inequality ◽

Second Order ◽

Integral Inequalities ◽

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Hilbert-type and Hardy-type integral inequalities with operator expressions and the best constants in the whole plane

Journal of Inequalities and Applications ◽

10.1186/s13660-015-0655-y ◽

2015 ◽

Vol 2015 (1) ◽

Author(s):

Xianyong Huang ◽

Junfei Cao ◽

Bing He ◽

Bicheng Yang

Keyword(s):

Best Constants ◽

Integral Inequalities ◽

Type Integral ◽

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Some multi-dimensional Hardy type integral inequalities

Journal of Mathematical Inequalities ◽

10.7153/jmi-01-27 ◽

2007 ◽

pp. 301-319 ◽

Author(s):

Lars-Erik Persson ◽

Elena P. Ushakova

Keyword(s):

Integral Inequalities ◽

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Weighted hardy type integral inequalities involving many functions

Tamkang Journal of Mathematics ◽

10.5556/j.tkjm.43.2012.301-311 ◽

2012 ◽

Vol 43 (2) ◽

Author(s):

Sabir Hussain ◽

Muhammad Amer Latif ◽

Waseem Akhtar

Keyword(s):

Integral Inequalities ◽

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New Hardy-type integral inequalities

Acta Scientiarum Mathematicarum ◽

10.14232/actasm-019-750-7 ◽

2020 ◽

Vol 86 (34) ◽

pp. 467-491

Author(s):

Atanu Manna

Keyword(s):

Integral Inequalities ◽

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Some generalizations and refined Hardy type integral inequalities

Afrika Matematika ◽

10.1007/s13370-016-0461-9 ◽

2016 ◽

Vol 28 (3-4) ◽

pp. 451-457

Author(s):

Khaled Mehrez

Keyword(s):

Integral Inequalities ◽

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Some New Hardy-type Integral Inequalities on Cones of Monotone Functions

Advances in Harmonic Analysis and Operator Theory ◽

10.1007/978-3-0348-0516-2_4 ◽

2013 ◽

pp. 77-89

Author(s):

L. S. Arendarenko ◽

R. Oinarov ◽

L.-E. Persson

Keyword(s):

Integral Inequalities ◽

Monotone Functions ◽

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Hardy-type integral inequalities for quasi-monotone functions

Georgian Mathematical Journal ◽

10.1515/gmj-2016-0016 ◽

2017 ◽

Vol 24 (4) ◽

Author(s):

Pankaj Jain ◽

Monika Singh ◽

Arun Pal Singh

Keyword(s):

Integral Inequalities ◽

Monotone Functions ◽

Lebesgue Spaces ◽

Grand Lebesgue Spaces ◽

AbstractWe consider quasi-monotone functions and discuss various Hardy-type integral inequalities on weighted Lebesgue and grand Lebesgue spaces.

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On Hilbert-Type and Hardy-Type Integral Inequalities and Applications

10.1007/978-3-030-29268-3 ◽

2019 ◽

Author(s):

Bicheng Yang ◽

Michael Th. Rassias

Keyword(s):

Integral Inequalities ◽

Type Integral ◽

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Reverse Hardy-Type Integral Inequalities with Two Independent Parameters

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.811.720 ◽

2013 ◽

Vol 811 ◽

pp. 720-724

Author(s):

Bei Yang ◽

Guang Sheng Chen

Keyword(s):

Weight Function ◽

Integral Inequalities ◽

Type Integral ◽

Independent Parameters

By introducing two independent parameters , using weight function and the method of real analisis,some extended reverse Hardy-type integral inequalities were established, and their constant factors were proved to be the optimum value. we have also considered the equivalent forms and some particular results.

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