26.—On Shapiro's Cyclic Inequality

DOI10.1017/S0308210500013366zbMath0332.26015MaRDI QIDQ4097949

A. H. Craven, P. J. Bushell

Publication date: 1976

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Cites Work

• On the inequality \(\sum_{r=1}^n \frac{x_r}{x_{r+1}+x_{r+2}} \ge \frac{n}{2}\) and some others
• Isoperimetric eigenvalue problems in algebras
• Analytic Inequalities
• Sur une inégalité
• On a cyclic sum
• Inequalities for Functions of a Cyclic Nature
• Note on the Inequality ∑r=1nxr/(xr+1+xr+2) ⩾ ½n

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