2008•Moscow University Mathematics BulletinRequires access

Complexity of approximation of Lipschitz functions

Sergey Borisovich Gashkov, J. V. Wegner

Open publisher page 1 citations

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.

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Lipschitz continuity, Mathematics, Bounded function, Lipschitz domain, Set (abstract data type), Order (exchange), Pure mathematics, Applied mathematics

Related papers

Back to paper searchBrowse research topicsOriginal source
Complexity of approximation of Lipschitz functions — Research Paper | ScholarLens