A solution to an open problem on the Mathieu series posed by Hoorfar and Qi
Gerg\H{o} Nemes
TL;DR
This paper provides a solution to an open problem regarding the Mathieu series by establishing a sharp double inequality that bounds the series, advancing understanding of its properties.
Contribution
The paper introduces a precise double inequality for the Mathieu series, addressing an open problem posed by Hoorfar and Qi.
Findings
Established a sharp double inequality for Mathieu series
Solved an open problem in mathematical series analysis
Enhanced bounds for Mathieu series
Abstract
In this paper, the author gives a solution to an open problem about the famous Mathieu series, that is, he obtains a sharp double inequality for bounding this series.
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Mathematical functions and polynomials