Interpolation and approximation in \(L_{2}(\gamma )\)

DOI10.1016/j.jat.2006.06.001zbMath1115.41003OpenAlexW1997188235MaRDI QIDQ868825

Stefan Geiss, Mika Hujo

Publication date: 26 February 2007

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2006.06.001

zbMATH Keywords

Besov spacestochastic approximationreal interpolation

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic integrals (60H05) Interpolation in approximation theory (41A05)

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Cites Work

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• Fractional order Sobolev spaces on Wiener space
• Weighted BMO and discrete time hedging within the Black-Scholes model
• The law of the Euler scheme for stochastic differential equations. I: Convergence rate of the distribution function
• Lipschitz functions and fractional Sobolev spaces
• Is the approximation rate for European pay-offs in the Black-Scholes model always \(1/\sqrt n\)?
• On an approximation problem for stochastic integrals where random time nets do not help
• Variance Reduction for Simulated Diffusions
• The Law of the Euler Scheme for Stochastic Differential Equations: II. Convergence Rate of the Density
• Quantitative approximation of certain stochastic integrals
• On approximation of a class of stochastic integrals and interpolation
• Discrete time hedging errors for options with irregular payoffs