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Exploring the Uniqueness of Best Simultaneous Approximations in Finite Dimensional Subspaces

Year: 2024

Type: article

Abstract: This study explores the uniqueness of best simultaneous approximation of two continuous functions on a closed interval from a finite dimensional subspace. The uniqueness condition is demonstrated to imply that the subspace is Chebyshev. The research examines special case of even and odd function approximations, providing valuable insights into the approximation behavior from finite-dimensional spaces.

Source: International Journal of Science and Research (IJSR)

DOI: 10.21275/sr241027233139

Author: Mansour Alyazidi

Institution: King Saud University

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404005656

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