Beyond Shapiro's problem: from cyclic sums to "graphic'' sums
Sergey Sadov
TL;DR
This paper reviews the author's research on cyclic inequalities of Shapiro-Diananda type and explores related optimization problems, extending the understanding of these mathematical inequalities and their applications.
Contribution
It provides a comprehensive review of the author's work on cyclic inequalities and introduces new insights into related optimization challenges.
Findings
Extended the class of cyclic inequalities studied
Identified new optimization problem connections
Provided improved bounds for specific inequalities
Abstract
A review of author's work on cyclic inequalities of Shapiro-Diananda type and related optimization problems is presented.
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Taxonomy
TopicsMathematical Inequalities and Applications · Mathematical functions and polynomials · Mathematics and Applications