Results 31 to 40 of about 217,177 (294)

UNIFORM APPROXIMATION BY POLYNOMIAL, RATIONAL AND ANALYTIC FUNCTIONS [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2008
AbstractLet K and X be compact plane sets such that $K\subseteq X$. Let P(K) be the uniform closure of polynomials on K, let R(K) be the uniform closure of rational functions on K with no poles in K and let A(K) be the space of continuous functions on K which are analytic on int(K).
Honary, T. G., Moradi, S.
openaire   +2 more sources

Parameter optimization of orthonormal basis functions for efficient rational approximations

open access: yes, 2015
International audienceIn this paper, the authors present an efficient procedure for optimal placement of poles in rational approximations by Müntz-Laguerre functions. The technique is formulated as the minimization of a quadratic criterion and the linear
Cloastre, Pascale   +3 more
core   +3 more sources

Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra [PDF]

open access: yes, 2010
This article concerns the computational problem of counting the lattice points inside convex polytopes, when each point must be counted with a weight associated to it.
Baldoni, Velleda   +4 more
core   +1 more source

Analytic approximate eigenvalues by a new technique. Application to sextic anharmonic potentials

open access: yesResults in Physics, 2018
A new technique to obtain analytic approximant for eigenvalues is presented here by a simultaneous use of power series and asymptotic expansions is presented.
D. Diaz Almeida, P. Martin
doaj   +1 more source

On Sequences, Rational Functions and Decomposition

open access: yes, 2015
Our overall goal is to unify and extend some results in the literature related to the approximation of generating functions of finite and infinite sequences over a field by rational functions. In our approach, numerators play a significant role.
Norton, Graham H.
core   +1 more source

Time after time – circadian clocks through the lens of oscillator theory

open access: yesFEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo   +2 more
wiley   +1 more source

Numerical stability of the branched continued fraction expansion of Horn's hypergeometric function $H_4$

open access: yesМатематичні Студії
In this paper, we consider some numerical aspects of branched continued fractions as special families of functions to represent and expand analytical functions of several complex variables, including generalizations of hypergeometric functions.
R. Dmytryshyn   +3 more
doaj   +1 more source

On the Accuracy of Some Absorbing Boundary Conditions for the Schrodinger Equation

open access: yesMathematical Modelling and Analysis, 2017
A detailed analysis of absorbing boundary conditions for the linear Schrodinger equation is presented in this paper. It is focused on absorbing boundary conditions that are obtained by using rational functions to approximate the exact transparent ...
Andrej Bugajev   +4 more
doaj   +1 more source

Towards a More General Type of Univariate Constrained Interpolation With Fractal Splines

open access: yes, 2015
Recently, in [Electronic Transaction on Numerical Analysis, 41 (2014), pp. 420-442] authors introduced a new class of rational cubic fractal interpolation functions with linear denominators via fractal perturbation of traditional nonrecursive rational ...
Chand, A. K. B.   +2 more
core   +1 more source

Structural biology of ferritin nanocages

open access: yesFEBS Letters, EarlyView.
Ferritin is a conserved iron‐storage protein that sequesters iron as a ferric mineral core within a nanocage, protecting cells from oxidative damage and maintaining iron homeostasis. This review discusses ferritin biology, structure, and function, and highlights recent cryo‐EM studies revealing mechanisms of ferritinophagy, cellular iron uptake, and ...
Eloise Mastrangelo, Flavio Di Pisa
wiley   +1 more source

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