Some improvements of McShane and Hölder-type inequalities via superquadratic functions

In this paper, we obtain some new improvements of McShane’s and Hölder’s inequalities for positive linear functionals. Then, we apply our results to time-scale integrals and obtain new inequalities for time-scale integrals.

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Publication Details

Journal
Journal of Inequalities and Applications
Published
2024-11-20
DOI
https://doi.org/10.1186/s13660-024-03221-2
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

Some improvements of McShane and Hölder-type inequalities via superquadratic functions

Shobha Rani, Rabia Bibi
Journal of Inequalities and Applications
Mathematical Inequalities and Applications
article

Some improvements of McShane and Hölder-type inequalities via superquadratic functions

Shobha Rani, Rabia Bibi
article en

Abstract

In this paper, we obtain some new improvements of McShane’s and Hölder’s inequalities for positive linear functionals. Then, we apply our results to time-scale integrals and obtain new inequalities for time-scale integrals.

Journal of Inequalities and ApplicationsVol. 2024(1)
Abbottabad University of Science and Technology (PK)
Reduced inequalities
Openalex Percentile: Top 66%
Mathematical Inequalities and Applications
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Some improvements of McShane and Hölder-type inequalities via superquadratic functions — Shobha Rani, Rabia Bibi · Journal of Inequalities and Applications (2024) | TGRS Research Map | TGRS