Reverse Hardy-Type Integral Inequalities with Two Independent Parameters

2013 ◽  
Vol 811 ◽  
pp. 720-724
Author(s):  
Bei Yang ◽  
Guang Sheng Chen
Keyword(s):  
Weight Function ◽  
Integral Inequalities ◽  
Hardy Type ◽  
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.

scholarly journals On a relation to two basic Hilbert-type integral inequalities

2009 ◽  
Vol 40 (3) ◽  
pp. 217-223 ◽  
Author(s):  
Bicheng Yang
Keyword(s):  
Weight Function ◽  
Integral Inequality ◽  
Equivalent Form ◽  
Constant Factor ◽  
Integral Inequalities ◽  
Real Analysis ◽  
Best Constant ◽  
Type Integral ◽  
Best Constant Factor ◽  
Hilbert Type

In this paper, by using the way of weight function and the technic of real analysis, a new integral inequality with some parameters and a best constant factor is given, which is a relation to two basic Hilbert-type integral inequalities. The equivalent form and the reverse forms are considered.

scholarly journals Weighted hardy type integral inequalities involving many functions

2012 ◽  
Vol 43 (2) ◽  
Author(s):  
Sabir Hussain ◽  
Muhammad Amer Latif ◽  
Waseem Akhtar
Keyword(s):  
Integral Inequalities ◽  
Hardy Type ◽  
Type Integral

scholarly journals Reverses Hardy-type inequalities via Jensen integral inequality

2021 ◽  
Vol 52 ◽  
pp. 43-51
Author(s):  
Bouharket Benaissa ◽  
Aissa Benguessoum
Keyword(s):  
Weight Function ◽  
Integral Inequality ◽  
Hölder Inequality ◽  
Integral Inequalities ◽  
Hardy Inequalities ◽  
Hardy Type Inequalities ◽  
Hardy Type ◽  
Jensen Integral Inequality ◽  
Number Of Authors

The integral inequalities concerning the inverse Hardy inequalities have been studied by a large number of authors during this century, of these articles have appeared, the work of Sulaiman in 2012, followed by Banyat Sroysang who gave an extension to these inequalities in 2013. In 2020 B. Benaissa presented a generalization of inverse Hardy inequalities. In this article, we establish a new generalization of these inequalities by introducing a weight function and a second parameter. The results will be proved using the Hölder inequality and the Jensen integral inequality. Several the reverses weighted Hardy’s type inequalities and the reverses Hardy’s type inequalities were derived from the main results.

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