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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Generic Approximation of functions by their pad\'{e} approximants, I [PDF]
, 2011 Approximation of entire functions by their pad\'e approximants has been examined in the past. It is true that generically such an approximation holds. However, examining this problem from another viewpoint, we obtain stronger generic results on functions
Fournodavlos, G.
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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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Density of Polynomials in the L^2 Space on the Real and the Imaginary Axes and in a Sobolev Space [PDF]
, 2009 2000 Mathematics Subject Classification: 41A10, 30E10, 41A65.In this paper we consider an L^2 type space of scalar functions L^2 M, A (R u iR) which can be, in particular, the usual L^2 space of scalar functions on R u iR.
Klotz, Lutz, Zagorodnyuk, Sergey M.
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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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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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Simulating accurate and effective solutions of some nonlinear nonlocal two-point BVPs: Clique and QLM-clique matrix methods. [PDF]
Heliyon, 2023 Izadi M, Singh J, Noeiaghdam S.
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On approximation in generalized Zygmund class
Demonstratio Mathematica, 2019 Here, we estimate the degree of approximation of a conjugate function g˜{\tilde g} and a derived conjugate function g˜′{\tilde g'} , of a 2π-periodic function g∈Zrλg \in Z_r^\lambda , r ≥ 1, using Hausdorff means of CFS (conjugate Fourier series) and
Nigam Hare Krishna
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Face-mask-aware Facial Expression Recognition based on Face Parsing and Vision Transformer. [PDF]
Pattern Recognit Lett, 2022 Yang B +6 more
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Simulations and analysis of underwater acoustic wave propagation model based on Helmholtz equation
Applied Mathematics in Science and EngineeringIn this study, we explore the effectiveness of elliptic partial differential equations (PDEs) in two and three dimensional space based on Helmholtz equation for simulations of acoustic sound in a very complex environment of propagation. For this purpose,
Maryam Ahmed Alanazi, Ishtiaq Ali
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