Universally optimal approximation of functionals

DOI10.21136/AM.1979.103824zbMath0449.41003OpenAlexW3047836002MaRDI QIDQ3895979

Milan Práger

Publication date: 1979

Full work available at URL: https://eudml.org/doc/15119

zbMATH Keywords

error functionalRiesz-Fischer theoremtrigonometric interpolation polynomials

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (5)

Mean square approximation by optimal periodic interpolation ⋮ Periodic interpolation on uniform meshes ⋮ On harmonic Hilbert spaces on compact abelian groups ⋮ Interpolation in harmonic Hilbert spaces ⋮ Approximation by optimal periodic interpolation

Cites Work

• On universally optimal quadrature formulae involving values of derivatives of integrand
• On universal quadrature formulae

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