Approximations of functions of several variables: Product Chebychev approximations, I

Triangular approximations of fuzzy number with value and ambiguity functions

$varepsilon$-Simultaneous approximations of downward sets

In this paper, we prove some results on characterization of $varepsilon$-simultaneous approximations of downward sets in vector lattice Banach spaces. Also, we give some results about simultaneous approximations of normal sets.

triangular approximations of fuzzy number with value and ambiguity functions

Regularity of Tensor Product Approximations to Square Integrable Functions

We investigate first-order conditions for canonical and optimal subspace (Tucker format) tensor product approximations to square integrable functions. They reveal that the best approximation and all of its factors have the same smoothness as the approximated function itself. This is not obvious, since the approximation is performed in L2.

triangular approximations of fuzzy number with value and ambiguity functions

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