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Travelling Waves in Gene Expression: A Mathematical Model of Cell-State Dynamics in Melanoma. [PDF]

open access: yesBull Math Biol
Taylor Barca C   +6 more
europepmc   +1 more source

Multivariate Simultaneous Approximation

open access: yesConstructive Approximation, 2002
Using convolution techniques, the Fourier transform, and complex analysis, theorems of Jackson type are given, for the simultaneous approximation of a function of class \(C^m\) and its partial derivatives, by a polynomial and the corresponding partial derivatives.
L Bos
exaly   +6 more sources

Simultaneous Polynomial Approximation

SIAM Journal on Mathematical Analysis, 1993
A recent result (see [Canad. J. Math., 44 (1992), pp. 924–940]) has bridged the gap between the Timan-type pointwise estimate and the norm estimate for polynomial approximation in $C[ - 1,1]$. Here, the authors show that for $f \in C^{(s)} [ - 1,1]$ the function and its derivatives of order j, $0 \leq j \leq s$, can be simultaneously approximated by ...
Ditzian, Z.   +2 more
openaire   +2 more sources

Suitable Norms for Simultaneous Approximation

Acta Mathematica Hungarica, 1997
The most common way to study simultaneous approximation of two points \(x,y\) of a normed linear space \(E\) from a subset \(M\) of \(E\), is to consider a suitable norm in \(E\times E\) (for instance, \(\| (u,v)\| =\sup(\| u\| ,\| v\|)\), \(\| (u,v)\| =\| u\| +\| v\|)\) and to reduce this problem to the ordinary approximation of the single point \((x ...
Benítez, Carlos   +2 more
openaire   +3 more sources

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