Constants in some inequalities of analysis

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Wiley, Aug 14, 1986 - Mathematics - 107 pages
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Presents the results of the author's research on some of the inequalities that arise in calculus and functional analysis, such as estimates for the norm of an operator, error estimates in numerical methods, estimates for the norm of a function that is extended to some larger domain, and inequalities characterizing the accuracy in approximating a function. Mikhlin gives solutions to one or both of the problems associated with the constants that appear in some of these inequalities: determining the best constant that assures that the inequality will hold, or evaluating some numerical value of the constant for which the inequality is considered true.

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The smallest extension constant for PFlfunctions
Some inequalities in the theory of Sobolev spaces

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