Generalization of the Wolstenholme cyclic inequality and its application

DOI10.1016/j.camwa.2006.06.006zbMath1132.26333OpenAlexW2048351592MaRDI QIDQ2469920

Lokenath Debnath, Shan-He Wu

Publication date: 11 February 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.06.006

zbMATH Keywords

convex polygonimprovementpower means inequalityweighted power means inequalityErdös-Mordell's inequalityWolstenholme's inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Elementary problems in Euclidean geometries (51M04) Inequalities for trigonometric functions and polynomials (26D05) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (5)

Parametrized Garfunkel-Bankoff inequality and improved Finsler-Hadwiger inequality ⋮ New refinements of the Erdös-Mordell inequality ⋮ Refinements of the Erdös-Mordell inequality, Barrow's inequality, and Oppenheim's inequality ⋮ Two new weighted Erdős-Mordell type inequalities ⋮ Sharpened versions of the Erdős-Mordell inequality

Cites Work

• Verallgemeinerung und Verschärfung der Erdős-Mordellschen Ungleichung für Polygone
• Generalization and sharpness of the power means inequality and their applications
• A Weighted Erdos-Mordell Inequality
• A Short Proof of the Erdos-Mordell Theorem
• Erdos-Mordell-Type Inequalities in a Triangle
• A Weighted Erdoes-Mordell Inequality for Polygons
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