Complexity of approximation of Lipschitz functions
Sergey Borisovich Gashkov, J. V. Wegner
Abstract
Sergey Borisovich Gashkov, J. V. Wegner
Abstract
The attainability of the lower bound by order is proved for the complexity of a problem of approximation of Lipschitz functions by diagrams of functional elements in bases consisting of a finite number of Lipschitz functions and a continuum of constants from a bounded set.
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The attainability of the lower bound by order is proved for the complexity of a problem of approximation of Lipschitz functions by diagrams of functional elements in bases consisting of a finite number of Lipschitz functions and a continuum of constants from a bounded set.
Key concepts: Lipschitz continuity, Mathematics, Bounded function, Lipschitz domain, Set (abstract data type), Order (exchange), Pure mathematics, Applied mathematics