The Journal of the Indian Mathematical Society

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On Well-Posedness of Some Problems in Approximation


Affiliations
1 Department of Mathematics, Indian Institute of Technology, Powai, Mumbai-400076, India
     

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This article is aimed at synthesizing some results on best approximants and restricted Chebyshev centres from the perspective of well-posedness of these problems. The related well-posedness notions for minimization problems are surveyed here. This leads one, in particular, to a reinterpretation of generic uniqueness results for some problems in approximation from the angle of generic well-posedness.
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  • On Well-Posedness of Some Problems in Approximation

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Authors

D. V. Pai
Department of Mathematics, Indian Institute of Technology, Powai, Mumbai-400076, India

Abstract


This article is aimed at synthesizing some results on best approximants and restricted Chebyshev centres from the perspective of well-posedness of these problems. The related well-posedness notions for minimization problems are surveyed here. This leads one, in particular, to a reinterpretation of generic uniqueness results for some problems in approximation from the angle of generic well-posedness.