Sharpening and Generalizations of Shafer-Fink and Wilker Type Inequalities: a New Approach
Marija Rasajski, Tatjana Lutovac, Branko Malesevic
TL;DR
This paper introduces new generalizations and sharpenings of Wilker's and Shafer-Fink's inequalities using the Wu-Debnath theorem, providing more precise bounds and double-sided inequalities.
Contribution
It presents novel generalizations and sharpenings of classical inequalities, employing the Wu-Debnath theorem for improved bounds and double-sided inequalities.
Findings
New generalized inequalities of Wilker and Shafer-Fink types
Sharpened bounds for existing inequalities
Application of Wu-Debnath theorem to derive double-sided inequalities
Abstract
In this paper we propose and prove some generalizations and sharpenings of certain inequalities of Wilker;'s and Shafer-Fink's type. Application of the Wu-Debnath theorem enabled us to prove some double sided inequalities.
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