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His important work on the approximation of functions by means of Chebyshev polynomials advanced applied mathematics.
The approximation of functions with derivatives of bounded variation has been studied.
These polynomials present, among others, very good properties in the approximation of functions.
Furthermore, we study the approximation of functions whose derivatives are locally of bounded variation.
In this section, we discuss the approximation of functions with a derivative of bounded variation.
They are widely used because of their good properties in the approximation of functions [18 20].
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The approximation of function f ˜, conjugate to a periodic function f ∈ W ( L r, ξ ( t ) ) ( r ≥ 1 ) using product ( C 1 ⋅ N p ) -summability has not been studied so far.
The approximation of Wigner functions is realized by an adaption of the Metropolis algorithm for real-valued functions with disconnected support.
An adaptive Kriging model is established to improve the computational efficiency and numerical accuracy in the approximation of design functions.
Kriging is an empirical modeling approach that has been widely applied in engineering for the approximation of deterministic functions, due its flexibility and ability to interpolate observed data.
Importantly, the complexities in computations, problem analyses and time to arrive at solutions can be significantly reduced due to the approximation of such functions.
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