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CONFORMAL INVARIANCE OF THE OPTIMAL RENEWAL TASKS OF THE DERIVATIVE FROM THE CONFINED ANALYTIC FUNCTIONS
In the article the optimal renewal task of first order derivatives from confined analytical functions in some point is considered according to the information on their values at end number of points situated in unit circle. The unit circle is then conformally reflected to a simply connected region. In the simply connected region analogical task is concerned at the points corresponding to this reflection. The author offers a correlation connecting the inaccuracy of the best approximation method in a unit cycle and in simply connected region, and their linear best approximation methods are written down. After that the optimal renewal task of the second order derivative is considered. Again the correlation connecting the inaccuracy of the best approximation methods and their best approxima-tion methods in a unit cycle and in simply connected region corresponding to it at conformal reflection are written down.
CONFORMAL INVARIANCE OF THE OPTIMAL RENEWAL TASKS OF THE DERIVATIVE FROM THE CONFINED ANALYTIC FUNCTIONS
In the article the optimal renewal task of first order derivatives from confined analytical functions in some point is considered according to the information on their values at end number of points situated in unit circle. The unit circle is then conformally reflected to a simply connected region. In the simply connected region analogical task is concerned at the points corresponding to this reflection. The author offers a correlation connecting the inaccuracy of the best approximation method in a unit cycle and in simply connected region, and their linear best approximation methods are written down. After that the optimal renewal task of the second order derivative is considered. Again the correlation connecting the inaccuracy of the best approximation methods and their best approxima-tion methods in a unit cycle and in simply connected region corresponding to it at conformal reflection are written down.
CONFORMAL INVARIANCE OF THE OPTIMAL RENEWAL TASKS OF THE DERIVATIVE FROM THE CONFINED ANALYTIC FUNCTIONS
Ovchintsev Mikhail Petrovich (author)
2015
Article (Journal)
Electronic Resource
Unknown
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