Approximation theorems for spaces of localities
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DOI: 10.1007/s00209-020-02516-6
Abstract: The classical Artin–Whaples approximation theorem allows to simultaneously approximate finitely many different elements of a field with respect to finitely many pairwise inequivalent absolute values. Several variants and generalizations exist, for example for finitely many… read more here.
Keywords: finitely many; approximation theorems; theorems spaces; spaces localities ... See more keywords
Some Inverse and Simultaneous Approximation Theorems in Weighted Variable Exponent Lebesgue Spaces
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DOI: 10.1007/s10476-018-0403-x
Abstract: In this work we prove some inverse and simultaneous approximation theorems in the weighted variable exponent Lebesgue space and discuss the constructive description problems in the generalized Lipschitz subclasses. read more here.
Keywords: weighted variable; approximation theorems; inverse simultaneous; variable exponent ... See more keywords
On approximation theorems for the Euler characteristic with applications to the bootstrap
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DOI: 10.1214/21-ejs1898
Abstract: We study approximation theorems for the Euler characteristic of the Vietoris-Rips and \v Cech filtration. The filtration is obtained from a Poisson or binomial sampling scheme in the critical regime. We apply our results to… read more here.
Keywords: characteristic applications; approximation theorems; applications bootstrap; theorems euler ... See more keywords
Direct and inverse approximation theorems of functions in the Orlicz type spaces ????M
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DOI: 10.1515/ms-2017-0314
Abstract: Abstract In the Orlicz type spaces ????M, we prove direct and inverse approximation theorems in terms of the best approximations of functions and moduli of smoothness of fractional order. We also show the equivalence between… read more here.
Keywords: approximation theorems; type spaces; orlicz type; direct inverse ... See more keywords