Some Hardy type integral inequalities with two parameters of summation

Authors

  • Noureddine Azzouz Faculty of Sciences, University Center Nour Bachir El Bayadh, Laboratory of Informatics and Mathematics, University of Tiaret
  • Bouharket Benaissa Faculty of Material Sciences, Laboratory of Informatics and Mathematics, University of Tiaret
  • Abdelkader Senouci Faculty of Mathematics and Informatics, Laboratory of Informatics and Mathematics, University of Tiaret

Keywords:

Hölder type inequalities, Hardy type inequalities, parameters of summation

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

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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.
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Benaissa, Bouharket, and Mehmet Zeki Sarikaya. "Generalisation of some Hardytype 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.
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Bicheng, Yang. "On a new Hardy integral inequalities." Int. Math. Forum 2, no. 65-68 (2007): 3317-3322.
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Hardy, Godfrey H., John E. Littlewood, and George Pólya. Inequalities. Cambridge: Cambridge University Press, 1952.
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Kuang, Ji Chang. Applied Inequalities. Changsha: Human Education Press, 1993.
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Published

2023-07-21

How to Cite

Azzouz, N., Benaissa, B., & Senouci, A. (2023). Some Hardy type integral inequalities with two parameters of summation. Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 22, 99–109. Retrieved from https://studmath.uken.krakow.pl/article/view/10437

Issue

Vol. 22 (2023)

Section

Published

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