About the Neuberg-Pedoe and the Oppenheim inequalities

DOI10.1016/0022-247X(88)90242-9zbMath0644.26015MaRDI QIDQ1102394

Josip E. Pečarić, Dragoslav S. Mitrinović

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

geometric inequalitiesareas of two trianglesNeuberg-Pedoe and Oppenheim inequalities

Mathematics Subject Classification ID

Euclidean analytic geometry (51N20) Inequalities in real analysis (26D99)

Related Items (7)

Inequalities for the medians and vertex distances of two n-simplices with applications ⋮ Reverse form of the Minkowski inequalities with applications ⋮ On Jessen's inequality for convex functions. III ⋮ Inequalities for medians of two simplices ⋮ Inequalities for vertex distances of two simplices ⋮ Inequalities for two simplices ⋮ Inequalities for any point and two simplices

Cites Work

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• Proof of Oppenheim's area inequalities for triangles and quadrilaterals
• On an Inequality Concerning an Indefinite Form
• A generalisation to several dimensions of the Neuberg-Pedoe inequality, with applications
• Proving Pedoe's Inequality by Complex Number Computation
• Inequalities for the Area of Two Triangles
• Analytic Inequalities
• Thinking Geometrically
• An Inequality Involving the Area of Two Triangles
• Some Inequalities for Two Triangles
• On Some Geometrical Inequalities
• Inequalities: theory of majorization and its applications
• Certain inequalities for concave functions and concave sequences

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