Chebyshev approximation involving continuous functions vanishing on a closed set V is considered. The approximating families studied have the betweenness property. Examples are given of such families.

Let X be a normed linear space, Un an n-dimensional Chebyshev subspace of X. For f ∈ X denote by p(f) ∈ Un its best approximation in Un. The problem of strong unicity consists in estimating how fast ...

Asymmetric normed spaces extend the classical framework of normed spaces by allowing the distance function to lack the symmetry property. This refinement facilitates the capture of directional or ...

Approximation theory and asymptotic methods form a foundational framework that bridges classical ideas with modern numerical analysis, enabling researchers to obtain practical, near‐optimal solutions ...