Approximation by functions harmonic in a strip

DOI10.1007/BF00249964zbMath0232.41004MaRDI QIDQ2550889

R. J. Nessel, W. Kolbe, Paul L. Butzer

Publication date: 1972

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Saturation in approximation theory (41A40)

Related Items

Dirichlet problem for an operator Sturm-Liouville equation, Boundary properties of functions harmonic in a strip, Multipliers with respect to spectral measures in Banach spaces and approximation. I: Radial multipliers in connection with Riesz-bounded spectral measures, Über Jackson- und Bernstein-Typ Ungleichungen für lineare Approximationsverfahren in L\(^p\)(E\(_n\)), A study of certain boundary properties of solutions of the equation \(\Delta u-c^ 2u=0\) in the half plane

Cites Work

• Fourier-transform methods in the theory of approximation
• Jackson and Bernstein-type inequalities for families of commutative operators in Banach spaces
• Functions Harmonic in a Strip
• The characterization of functions arising as potentials
• Fourier Cosine Transforms Whose Real Parts are Non-Negative in a Strip
• Some Tauberian theorems with applications to approximation theory
• Saturation and Approximation