Some Hardy type integral inequalities with two parameters of summation

Azzouz, Noureddine; Benaissa, Bouharket; Senouci, Abdelkader

doi:10.2478/aupcsm-2023-0008

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Some Hardy type integral inequalities with two parameters of summation

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Volume 22 (2023): Issue 1 (January 2023)

By: Noureddine Azzouz, Bouharket Benaissa and Abdelkader Senouci

Open Access

|Jul 2023

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.

References

Benaissa, Bouharket. “On the Reverse Minkowski’s Integral Inequality.” Kragujevac J. Math. 46, no. 3 (2022): 407-416. DOI: 10.46793/kgjmat2203.407b. Cited on 100.
Search in Google Scholar Back to article
Benaissa, Bouharket. “A further generalization of the reverse Minkowski type inequality via Hölder and Jensen inequalities.” J. Siberian Fed. Univ. Math. Phys. 15, no. 3 (2022): 319-328. DOI:10.17516/1997-1397-2022-15-3-319-328. Cited on 104.
Search in Google Scholar Back to article
Benaissa, Bouharket, and Mehmet Zeki Sarikaya. “Generalisation of some Hardy-type integral inequality with negative parameter.” Bulletin of the Transilvania University of Brasov 13 (2020): 69-76. DOI: 10.31926/but.mif.2020.13.62.1.6. Cited on 100.
Search in Google Scholar Back to article
Bicheng, Yang. “On a new Hardy integral inequalities.” Int. Math. Forum 2, no. 65-68 (2007): 3317-3322. Cited on 100.
Search in Google Scholar Back to article
Hardy, Godfrey H., John E. Littlewood, and George Pólya. Inequalities. Cambridge: Cambridge University Press, 1952. Cited on 99.
Search in Google Scholar Back to article
Kuang, Ji Chang. Applied Inequalities. Changsha: Human Education Press, 1993. Cited on 100.
Search in Google Scholar Back to article

DOI: https://doi.org/10.2478/aupcsm-2023-0008 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

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Language: English

Page range: 99 - 109

Submitted on: Mar 5, 2023

Accepted on: May 16, 2023

Published on: Jul 25, 2023

Published by: Pedagogical University of Cracow

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Hölder type inequalities,

Hardy type inequalities,

parameters of summation

Related subjects:

Mathematics,

General mathematics

© 2023 Noureddine Azzouz, Bouharket Benaissa, Abdelkader Senouci, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

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