The motivation for this intuitive idea is that instead of making approximations
with one pure sinusoidal signal it is possible to use another signal, also periodic, with a shape like the function that is going to be approximate.
Multiqudrics--A scattered data approximation
scheme with applications to computational fluid-dynamics--I: Surface approximations
and partial derivatives," Comp.
Li: Common fixed points for Banach operator pairs in best approximations
Averaging model, instead, appears to be a collection of local linear approximations
in every cell of the design (that is, in every neighborhood of every pair of scale values) that replaces a generic Response surface with a collection of planes.
For lower levels of risk aversion ([beta]<2), the most accurate approximations
occur when the probability distribution has a positive skew (that is, where p<0.
The theory of Pade approximation
is presented in Section 4.
The subintervals where the approximations
are sufficiently accurate are then identified with find for further processing.
2 depicts the schematic diagram and data structure of approximations
executed inside memory.
Key words: cosine operator function, Blackman-type approximation
processes, Rogosinski-type approximation
processes, modulus of continuity, Fourier series of symmetric functions with respect to [pi].
Second-Order Reliability Approximations
," Journal of Engineering Mechanics, 113(8), 1208-1225, 1987.
In  Borjesson and Sundberg had proposed approximations
to Q(x) in the form of
For each fuzzy set A [subset or equal to] U, we define the upper and lower approximations
of A (w.