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This technique avoids proving a reverse Hölder inequality.
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Diaz and Metcalf [1] proved a reverse of the triangle inequality in the particular case of spaces with inner product.
With it we can prove a reverse Hölder inequality for the generalized gradient Xu of a very weak solution, which allows us to get the global higher integrability of Xu.
In order to improve the integrability of a very weak solution to (1.1), we need to prove a suitable reverse Hölder inequality.
Our approach allows us to extend the result to the context of spaces of homogeneous type and prove a weak Reverse Hölder Inequality which is still sufficient to prove the open property for Ap classes and the Lp boundedness of the maximal function.
Since the pandas arrived 18 months ago they been a huge attraction for the zoo, proving a factor in helping reverse its financial decline.
As a statistics major, I realize that a sample size of one does not prove that a "reverse stereotype" will solve this difficult problem.
But if Mathieu did not look overwhelmed, he did prove a bit too inconsistent to reverse a trend.
As an application, the result is used to prove a special case for the reverse Hölder inequality.
Pensions minister Steve Webb memorably suggested that a few might blow the lot on a Lamborghini, although less trumpeted is the risk that scores of financial advisers might end up being kidnapped after (and let's be generous here) they prove to possess a reverse Midas touch.
In a benefit cost analysis framework, reverse influence modeling may prove a useful tool in air quality decision-making by allowing for accurate estimates of the societal benefits of reducing emissions on a location-specific basis.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com