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Mathematical Notes· 2026Q2

Estimates of the Gelfand Widths of Intersection of Finite-Dimensional Balls

A. A. Vasil’eva

Short summary

New order estimates for Gelfand widths of intersections of finite-dimensional balls in $l_q^N$ spaces have been derived under specific parameter conditions.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Order estimates for Gelfand widths of intersecting finite-dimensional balls are obtained.
  • The analysis is performed within $l_q^N$ spaces.
  • Specific conditions on parameters $p_\alpha$ and $q$ are required for these estimates.

AI-generated from the title and abstract; the full text is not read.

Abstract

Order estimates of the Gelfand widths of the intersection of finite-dimensional balls $$\nu_\alpha B^N_{p_\alpha}$$ in $$l_q^N$$ under some conditions on the parameters $$p_\alpha$$ and $$q$$ are obtained.

The authors' abstract, as published at the source. Mathematical Notes, 2026 · DOI ↗

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Field: Numerical Analysis

Numerical AnalysisMathematics