Abstract
Polynomial interpolation has been used for centuries to find approximate values of a function, then to find related quantities like integrals and derivatives. In this article, we present a completely new application of polynomial interpolation. More precisely, we implement an inductive quadratic interpolation formula to obtain refinements and reverses of Young’s inequality for numbers and matrices. The matrices applications include determinants and ordering inequalities.
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Sababheh, M. Piecewise Quadratic Interpolation and Applications to the Young Inequality. Results Math 72, 1315–1328 (2017). https://doi.org/10.1007/s00025-016-0636-6
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DOI: https://doi.org/10.1007/s00025-016-0636-6