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Interpolation inequality

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In the field of mathematical analysis, an interpolation inequality is an inequality of the form

Interpolation inequality - Wikipedia Jump to content From Wikipedia, the free encyclopedia Inequality in mathematical analysis In the field of mathematical analysis , an interpolation inequality is an inequality of the form ‖ u 0 ‖ 0 ≤ C ‖ u 1 ‖ 1 α 1 ‖ u 2 ‖ 2 α 2 … ‖ u n ‖ n α n , n ≥ 2 , {\displaystyle \|u_{0}\|_{0}\leq C\|u_{1}\|_{1}^{\alpha _{1}}\|u_{2}\|_{2}^{\alpha _{2}}\dots \|u_{n}\|_{n}^{\alpha _{n}},\quad n\geq 2,} where for 0 ≤ k ≤ n {\displaystyle 0\leq k\leq n} , u k {\

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