Error estimates for extrapolation operators

Lp Estimates for Marcinkiewicz integral operators and extrapolation

*Correspondence: [email protected] Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan Abstract In this article, we establish Lp estimates for parametric Marcinkiewicz integral operators with rough kernels. These estimates and extrapolation arguments improve and extend some known results on Marcinkiewicz integrals. MSC: Primary 40B20; secondary 4...

Error estimates for some quasi-interpolation operators

‖u− Ihu‖L2(T ) ≤cThT ‖∇ku‖L2(ω̃T ), ‖u− Ihu‖L2(E) ≤cEh E ‖∇ku‖L2(ω̃E). Here, k ∈ {1, 2}, Ih is some quasi-interpolation operator, T and E are a simplex and a face thereof, hT and hE measure the size of T and E, and ω̃T and ω̃E are neighbourhoods of T and E which should be as small as possible. Note that the interpolate Ihu never needs to be computed explicitely. Moreover, for problems in two and th...

A derivation of extrapolation algorithms based on error estimates

In this paper, we shall emphasize the role played by error estimates and annihilation diierence operators in the construction of extrapolations processes. It is showed that this approach leads to a uniied derivation of many extrapolation algorithms and related devices, to general results about their kernels and that it opens the way to many new algorithms. Their convergence and acceleration pro...

Extrapolation Error

Two kinds of error commonly arise in statistical inference. The most common one is sampling error, arising from small samples. The second is the error arising from unrepresentative samples. Such errors occur in curve-fitting examples when the curves are fitted in one domain and used for prediction in another, which might be referred to as an error of extrapolation. The problem with extrapolatio...

Simulation - Extrapolation : the Measurement Error