Unveiling new reverse Hilbert-type dynamic inequalities within the framework of Delta calculus on time scales Article Swipe
Haytham M. Rezk
,
Mohammed Zakarya
,
Amirah Ayidh I Al-Thaqfan
,
Maha Ali
,
Belal A. Glalah
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.3934/math.2025104
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.3934/math.2025104
Some new reverse versions of Hilbert-type inequalities are studied in this paper. The results are established by applying the time scale versions of reverse Hölder's inequality, reverse Jensen's inequality, chain rule on time scales, and the mean inequality. As applications, some particular results (when $ \mathbb{T = N} $ and $ \mathbb{T = R} $) are considered. Our results provide some new estimates for these types of inequalities and improve some of those recently published in the literature.
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- Language
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- Landing Page
- https://doi.org/10.3934/math.2025104
- OA Status
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- OpenAlex ID
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https://openalex.org/W4407289878Canonical identifier for this work in OpenAlex
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https://doi.org/10.3934/math.2025104Digital Object Identifier
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Unveiling new reverse Hilbert-type dynamic inequalities within the framework of Delta calculus on time scalesWork title
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articleOpenAlex work type
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enPrimary language
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2025Year of publication
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2025-01-01Full publication date if available
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Haytham M. Rezk, Mohammed Zakarya, Amirah Ayidh I Al-Thaqfan, Maha Ali, Belal A. GlalahList of authors in order
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https://doi.org/10.3934/math.2025104Publisher landing page
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goldOpen access status per OpenAlex
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https://doi.org/10.3934/math.2025104Direct OA link when available
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Type (biology), Calculus (dental), Inequality, Mathematics, Delta, Pure mathematics, Algebra over a field, Applied mathematics, Mathematical analysis, Medicine, Physics, Geology, Dentistry, Paleontology, AstronomyTop concepts (fields/topics) attached by OpenAlex
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| cited_by_percentile_year | |
| countries_distinct_count | 2 |
| institutions_distinct_count | 5 |
| citation_normalized_percentile.value | 0.05642888 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |