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To obtain a case of the best inequality it is natural to impose the following conditions on the parameters : (3.3).
To obtain a case of the best inequality it is natural to impose the following conditions on the parameters A i j : p j A j i = λ − n − p i ( α i − A i i ), j ≠ i, i, j ∈ { 1, 2, …, n }. (2.8).
end{aligned} (4.1) We also have the following Jensen type inequality: bigglvert int_{Omega} fcirc g),dmu-f biggl int_{Omega}g,dmu biggr biggrvert leq frac{1}{2} biglVert f bigrVert _{[a,b],infty} sigma^{2}(g), (4.2) which is the best inequality one can get from (4.1).
Corollary 3.17 Let p, q > 1 + k, then the best inequality that can be obtained from inequality (50) is | β k ( p, q ) − 1 k 1 2 p + q k − 2 | ≤ 1 2 k max { p − 1, q − 1 } β k ( p − k, q − k ).
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The intricacies of how we best measure inequality might not be quite as sexy as the latest NYT bestseller, but they can be every bit as important to how we confront the trend of rising inequality.
Finally, for (p=1), we prove that bigglvert int_{a}^{b}lambda(s)f^{(n)}(s),ds biggrvert leqmax_{sin [ a,b]}biglvert lambda(s bigrvert int_{a}^{b}f^{(n)}(s),ds (3.14) is the best possible inequality.
For (p=1), we prove that bigglvert int_{a}^{b} C t) f^{(n)}(t),dtbiggrvert leqmax_{tin[a,b]} biglvert C t bigrvert biggl( int_{a}^{b} biglvert f^{(n)}(t bigrvert,dt biggr) (4.3) is the best possible inequality.
For (p=1) we prove that bigglvert int _{alpha}^{beta} mathcal{S}(t phi^{(2n)}(t), dtbiggrvert leqmax_{tin[alpha,beta ]}biglvert mathcal{S}(t) bigrvert biggl( int _{alpha}^{beta} biglvert phi^{(2n)}(t) bigrvert, dt biggr) (3.9) is the best possible inequality.
For (p=1) we prove that bigglvert int_{alpha}^{beta}mathcal{F}(t phi^{(n)}(t),dt biggrvert leqmax_{tin[alpha,beta]}biglvert mathcal{F}(t bigrvert biggl( int_{alpha}^{beta}biglvert phi^{(n)}(t bigrvert,dt biggr) (3.10) is the best possible inequality.
Developed economies work best when inequality of incomes are at a minimum.
The best (the least inequality) and the worst (the greatest inequality) area were Hohi and Tobu, respectively.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com