<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In the present work, some Hardy-type integral inequalities were proved for two parameters of summation <italic>q</italic> ≤ <italic>p</italic> &lt; 0 and <italic>p</italic> &lt; 0, <italic>q</italic> > 0. In addition, some two-sided estimates are obtained.</p>
</abstract>

In the present work, some Hardy-type integral inequalities were proved for two parameters of summation q ≤ p < 0 and p < 0, q > 0. In addition, some two-sided estimates are obtained.

Some Hardy type integral inequalities with two parameters of summation

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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{"article-title":"Some Hardy type integral inequalities with two parameters of summation"}

In the present work, some Hardy-type integral inequalities were proved for two parameters of summation q ≤ p  0. In addition, some two-sided estimates are obtained.

In the present work, some Hardy-type integral inequalities were proved for two parameters of summation q ≤ p < 0 and p < 0, q > 0. In addition, some two-sided...

Some Hardy type integral inequalities with two parameters of summation

Published Online: Jul 25, 2023

Page range: 99 - 109

Received: Mar 05, 2023

Accepted: May 16, 2023

DOI: https://doi.org/10.2478/aupcsm-2023-0008

© 2023 Noureddine Azzouz et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.