Predicting the solution of fractional order differential equations with Artificial Neural Network
Partial Differential Equations in Applied MathematicsThe present paper aims to propose an approximation method of Caputo fractional operator using discretization based on quadrature theory to minimize the error function for an Artificial Neural Network (ANN) with higher convergence rate.
A.M. Khan, Sanjay Gaur, D.L. Suthar
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A theoretical study on resistance of electrolytic solution: Measurement of electrolytic conductivity
Results in Physics, 2019 We propose a theoretical approach to determine the conductivity of electrolytic solution using sine waveform voltage as a triggering signal. The approach is based on the acquisition of the complex impedance in two-electrode conductance cell by analyzing ...
Liyue Su, Xiaodong Liao, Zheng Huang
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Basc: Constrained Approximation by Semidefinite Programming [PDF]
, 2016 This article details the theoretical grounds for a semidefinite-programming-based method that computes best approximants by splines under some general constraints and relative to several function norms, notably the max-norm.
Vladlena Powers, Simon Foucart
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Diophantine approximations and almost periodic functions
Demonstratio Mathematica, 2017 In this paper we investigate the asymptotic behaviour of the classical continuous and unbounded almost periodic function in the Lebesgue measure.Using diophantine approximations we show that this function can be estimated by functions of polynomial type ...
Nawrocki Adam
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Interpolation $H^{\infty}$ et théorèmes de plongements pour des fonctions rationnelles [PDF]
, 2019 International audienceWe consider a Nevanlinna-Pick interpolation problem on finite sequences of the unit disc D constrained by Hardy and radial-weighted Bergman norms. We find sharp asymptotics on the corresponding interpolation constants.
Baranov, Anton, Zarouf, Rachid
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Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials, I [PDF]
, 2004 36 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.-- Part II of this paper published in: Approx. Theory Appl. 18(2): 1-32 (2002), available at: http://e-archivo.uc3m.es/handle/10016/6483MR#: MR2047389 (2005k:42062)Zbl#: Zbl 1081.42024In this ...
Pestana, Domingo +3 more
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Approximation by q-analogue of modified Jakimovski-Leviatan-Stancu type operators
Demonstratio Mathematica, 2017 In this paper, we introduce the q-analogue of the Jakimovski-Leviatan type modified operators introduced by Atakut with the help of the q-Appell polynomials.We obtain some approximation results via the well-known Korovkin’s theorem for these operators.We
Mursaleen Mohammad +2 more
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Weierstrass' theorem in weighted Sobolev spaces with k derivatives: announcement of results [PDF]
, 2006 5 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR2219919 (2006m:41012)Zbl#: Zbl 1107.41007We characterize the set of functions which can be approximated by smooth functions and by polynomials with the norm $$ \ \ {W k,\infty}_w}=\sum_ {j ...
Tourís, Eva +3 more
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Shapiro’s problem on polynomials with large partial sums of coefficients
Forum of Mathematics, SigmaGiven a polynomial $\sum _\nu a_\nu X^\nu $ of degree $
Marc Technau
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Univariate right fractional polynomial high order monotone approximation
Demonstratio Mathematica, 2016 Let f ∈ Cr([−1,1]), r ≥ 0 and let L* be a linear right fractional differential operator such that L*(f) ≥ 0 throughout [−1,0]. We can find a sequence of polynomials Qn of degree ≤ n such that L*(Qn) ≥ 0 over [−1,0], furthermore f is approximated right ...
Anastassiou George A.
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