T. Mollers et O. Vanlaak, ON THE GLOBAL APPROXIMATION AND INTERPOLATION OF LOCALLY DESCRIBED REAL-VALUED FUNCTIONS, Applied mathematics and computation, 93(1), 1998, pp. 1-10
An approach for approximation and interpolation of real valued functio
ns is presented, which is based on generalized blending methods, The a
im is to find a simple procedure for deriving a global description g o
f a concerned function f. We suppose that a set of local descriptions
g(v), 1 less than or equal to v less than or equal to n, of f is given
. The global description g is intended to approximate f at least as we
ll as the local descriptions g(v), do, and g is of a prescribed degree
of smoothness. The obtained method is applicable for processing amy k
ind of local descriptions; algebraic expressions can be used as well a
s non-algebraic descriptions, like neuronal networks or fuzzy controll
ers. (C) 1998 Elsevier Science Inc. All rights reserved.