A new reverse Mulholland’s inequality with one partial sum in the kernel

A new reverse Mulholland’s inequality with one partial sum in the kernel

By means of the techniques of real analysis, applying some basic inequalities and formulas, a new reverse Mulholland’s inequality with one partial sum in the kernel is given. We obtain the equivalent conditions of the parameters related to the best value in the new inequality. As applications, we re...

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Veröffentlicht in:Journal of inequalities and applications 2024-01, Vol.2024 (1), p.9-14, Article 9
Hauptverfasser: Huang, Xianyong, Luo, Ricai, Yang, Bicheng, Huang, Xingshou
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Equivalence
Equivalent form
Inequalities
Inequality
Mathematics
Mathematics and Statistics
Mulholland’s inequality
Parameter
Parameters
Partial sums
Weight coefficient
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Beschreibung
Zusammenfassung:By means of the techniques of real analysis, applying some basic inequalities and formulas, a new reverse Mulholland’s inequality with one partial sum in the kernel is given. We obtain the equivalent conditions of the parameters related to the best value in the new inequality. As applications, we reduce to the equivalent forms and a few inequalities for particular parameters.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-024-03080-x