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Question Number 160644 by HongKing last updated on 03/Dec/21

$${\mathrm{King}}^{\prime }\mathrm{s}\mathrm{inequality}$$$$\mathrm{if}\mathrm{a}⩽\mathrm{b};\mathrm{n}⩽\mathrm{m}\mathrm{then}:$$$$\frac{{\mathrm{a}}^{\mathbf{n}}+{\mathrm{b}}^{\mathbf{m}}}{2}⩾{\left(\frac{1+\mathrm{b}}{2}\right)}^{\mathbf{m}-\mathbf{n}}\cdot {\left(\frac{\mathrm{a}+\mathrm{b}}{2}\right)}^{\mathbf{n}}$$

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