Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Basic relations valid for the Bernstein spaces $B²_{σ}$ and their extensions to larger function spaces via a unified distance concept

100%

Butzer P., Stens R., Schmeisser G.

Banach Center Publications

2014

tom 102

nr 1

41-55

Some basic theorems and formulae (equations and inequalities) of several areas of mathematics that hold in Bernstein spaces $B_σ^p$ are no longer valid in larger spaces. However, when a function f is in some sense close to a Bernstein space, then the corresponding relation holds with a remainder or error term. This paper presents a new, unified approach to these errors in terms of the distance of f from $B_σ^p$. The difficult situation of derivative-free error estimates is also covered.

Ograniczanie wyników

1 Banach Center Publications

1 Butzer P.

1 Schmeisser G.

1 Stens R.

1 2014

Wyniki wyszukiwania

Basic relations valid for the Bernstein spaces $B²_{σ}$ and their extensions to larger function spaces via a unified distance concept