January 9, 2020Open Access

On a new Hilbert-type integral inequality involving the upper limit functions

Key Points

Key points are not available for this paper at this time.

Abstract

Abstract By applying the weight functions and the idea of introduced parameters we give a new Hilbert-type integral inequality involving the upper limit functions and the beta and gamma functions. We consider equivalent statements of the best possible constant factor related to a few parameters. As applications, we obtain a corollary in the case of a nonhomogeneous kernel and some particular inequalities.

Perguntar à IA

Bookmark

View Full Paper

Cite This Study

Mo et al. (Thu,) studied this question.

synapsesocial.com/papers/69fcdc4ac105307ccb509085 https://doi.org/https://doi.org/10.1186/s13660-019-2280-7

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1On a Reverse Half-Discrete Hardy-Hilbert’s Inequality with Parameters2019 · 28 citations
2Equivalent statements of a more accurate extended Mulholland's inequality with a best possible constant factor2020 · 8 citations
3ON A REVERSE HARDY-LITTLEWOOD-P<inline-formula><tex-math id="M1">$ \acute{O} $</tex-math></inline-formula>LYA'S INEQUALITY2020 · 1 citations
4On an extended Hardy-Littlewood-Polya’s inequality2020 · 10 citations
5On the reverse Hardy-type integral inequalities in the whole plane with the extended Riemann-Zeta function2020 · 19 citations

Perguntar à IA

Bookmark

View Full Paper