Optimal two parameter bounds for the Seiffert mean
Yu-Ming Chu, Miao-Kun Wang, Ye-Fang Qiu
TL;DR
This paper derives precise bounds for the Seiffert mean using a two-parameter family of means, extending previous inequalities and providing a more comprehensive understanding of its properties.
Contribution
It introduces sharp bounds for the Seiffert mean based on a two-parameter family, generalizing earlier results in the literature.
Findings
Established new sharp bounds for the Seiffert mean.
Generalized previous inequalities to a broader family of means.
Extended the theoretical understanding of mean inequalities.
Abstract
In this note we obtain sharp bounds for the Seiffert mean in terms of a two parameter family of means. Our results generalize and extend the recent bounds presented in the Journal of Inequalities and Applications (2012) and Abstract and Applied Analysis (2012).
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Analytic and geometric function theory