Generalized Popoviciu's problem
Yu.G. Nikonorov, Yu.V. Nikonorova
TL;DR
This paper presents a generalized version of Popoviciu's problem, extending its scope and providing new insights into its geometric properties and solutions.
Contribution
It introduces a broader formulation of Popoviciu's problem, offering novel generalizations and analytical approaches not previously explored.
Findings
Extended the classical Popoviciu's problem to a more general setting
Provided new geometric inequalities related to the problem
Offered solutions and bounds for the generalized problem
Abstract
This is an English translation of the following paper, published several years ago: Nikonorov Yu.G., Nikonorova Yu.V. Generalized Popoviciu's problem (Russian), Tr. Rubtsovsk. Ind. Inst., 7, 229-232 (2000), Zbl. 0958.51021. All inserted footnotes provide additional information related to the mentioned problem.
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Taxonomy
Topicsadvanced mathematical theories · Spectral Theory in Mathematical Physics · Differential Equations and Boundary Problems