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Matematicheskie Zametki, 2025, Volume 117, Issue 1, Pages 128–145
DOI: https://doi.org/10.4213/mzm14376
(Mi mzm14376)
 

On weighted discrete hardy and Riemann–Liouville inequalities

D. V. Prokhorova, V. D. Stepanovab

a Computer Centre of Far Eastern Branch RAS, Khabarovsk
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
References:
Abstract: In this paper, we obtain criteria for satisfying the weighted discrete Hardy and Riemann–Liouville inequalities in sequence spaces.
Keywords: discrete Hardy and Riemann–Liouville inequalities, sequence space.
Funding agency Grant number
Russian Science Foundation 24-11-00170
Ministry of Science and Higher Education of the Russian Federation
The work of the second author in Secs. 1 and 2 was carried out at the expense of the Russian Science Foundation, grant no. 24-11-00170, https://rscf.ru/en/project/24-11-00170/, at the V. A. Steklov Mathematical Institute of Russian Academy of Sciences. For the remaining part of the paper, the work of the authors was carried out in the framework of the state assignments of the Ministry of Science and Higher Education of the Russian Federation for the Computing Center of the Far Eastern Branch of Russian Academy of Sciences.
Received: 22.05.2024
Revised: 22.06.2024
Published: 13.05.2025
English version:
Mathematical Notes, 2025, Volume 117, Issue 1, Pages 138–153
DOI: https://doi.org/10.1134/S0001434625010134
Bibliographic databases:
Document Type: Article
UDC: 517.51
MSC: 46A45
Language: Russian
Citation: D. V. Prokhorov, V. D. Stepanov, “On weighted discrete hardy and Riemann–Liouville inequalities”, Mat. Zametki, 117:1 (2025), 128–145; Math. Notes, 117:1 (2025), 138–153
Citation in format AMSBIB
\Bibitem{ProSte25}
\by D.~V.~Prokhorov, V.~D.~Stepanov
\paper On weighted discrete hardy and Riemann--Liouville inequalities
\jour Mat. Zametki
\yr 2025
\vol 117
\issue 1
\pages 128--145
\mathnet{http://mi.mathnet.ru/mzm14376}
\crossref{https://doi.org/10.4213/mzm14376}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4908561}
\transl
\jour Math. Notes
\yr 2025
\vol 117
\issue 1
\pages 138--153
\crossref{https://doi.org/10.1134/S0001434625010134}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105007248072}
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  • https://www.mathnet.ru/eng/mzm/v117/i1/p128
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