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#### Existence and uniqueness of collocating algebraic function approximations

(University of Canterbury. Dept. of Mathematics, 1990)

The problem of approximating a real-valued function by an algebraic function, where the approximation is determined by collocation at a sufficient number of distinct nodes, is
considered. Results are obtained for the ...

#### Existence and uniqueness of algebraic function approximations

(University of Canterbury. Dept. of Mathematics, 1989)

The problem of approximating a real-valued, locally analytic function, f(x), by an algebraic function, Q(x) is considered. Existence and uniqueness theorems are obtained
under fairly general conditions, including those ...

#### Existence and uniqueness of algebraic function approximations

(University of Canterbury. Dept. of Mathematics, 1989)

The problem of approximating a real-valued, locally analytic function by an integral function is considered. Results are obtained for the existence, uniqueness and order of
approximation for both 'normal' and 'non-normal' ...

#### Some qualitative results for the quadratic function approximation

(University of Canterbury. Dept. of Mathematics, 1988)

By means of a detailed investigation of some particular examples, this paper attempts to assess some qualitative properties of the quadratic function approximation. Particular attention
is paid to the size of the region ...

#### Integral function approximations derived from inhomogeneous equations

(University of Canterbury. Dept. of Mathematics, 1990)

The formulation of the problem of obtaining a unique integral function approximation to a real-valued locally analytic function is given. The integral function in this case is
derived from an inhomogeneous, linear ...