Some four-parameter trigonometric generalizations of the Hilbert integral inequality

In this paper, we propose several trigonometric generalizations of the Hilbert integral inequality. They are characterized by the inclusion of four adjustable parameters and mainly cosine and sine (or sinc) functions, which remain an under-explored area in the current literature.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-09-20
DOI
https://doi.org/10.5281/zenodo.13949385
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
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article

Some four-parameter trigonometric generalizations of the Hilbert integral inequality

Zenodo (CERN European Organization for Nuclear Research)
Mathematical Inequalities and Applications
article

Some four-parameter trigonometric generalizations of the Hilbert integral inequality

article en

Abstract

In this paper, we propose several trigonometric generalizations of the Hilbert integral inequality. They are characterized by the inclusion of four adjustable parameters and mainly cosine and sine (or sinc) functions, which remain an under-explored area in the current literature.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Openalex Percentile: Top 41%
Mathematical Inequalities and Applications
DOIOpen Access PDFOpenAlex
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Some four-parameter trigonometric generalizations of the Hilbert integral inequality · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS