Results 41 to 50 of about 2,162,224 (173)
Biermann interpolation of Birkhoff type
Journal of Numerical Analysis and Approximation Theory, 2005 If \(P_{0},P_{1},...,P_{r}\) and \(Q_{0},Q_{1},...,Q_{r}\) are Birkhoff univariate projectors which form the chains\[P_{0}\le P_{1}\le\dots\le P_{r},\quad Q_{0}\le Q_{1}\le\dots\le Q_{r},\]we can define the Biermann operator of Birkhoff type\[B_{r}^{B ...
Marius Birou
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Frequency Response Based Curve Fitting Approximation of Fractional–Order PID Controllers
International Journal of Applied Mathematics and Computer Science, 2019 Fractional-order PID (FOPID) controllers have been used extensively in many control applications to achieve robust control performance. To implement these controllers, curve fitting approximation techniques are widely employed to obtain integer-order ...
Bingi Kishore +4 more
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, 2014 A general formalism of the Glauber theory for elementary atom (EA) - target atom (TA) scattering is developed. A second-order approximation of its complete version is considered in the framework of the optical-model perturbative approach.
+22 more
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International Journal of Mathematics and Mathematical Sciences, 1994 We continue the investigation initiated by Mastroianni and Szabados on question whether Jackson's order of approximation can be attained by Lagrange interpolation for a wide class of functions.
Xin Li
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The approximation of Laplace-Stieltjes transforms with finite order
Journal of Inequalities and Applications, 2017 In this paper, we study the irregular growth of an entire function defined by the Laplace-Stieltjes transform of finite order convergent in the whole complex plane and obtain some results about λ-lower type.
Hong Yan Xu, San Yan Liu
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Numerical Approximation of Fractional-Order Volterra Integrodifferential Equation
Journal of Function Spaces, 2020 Laplace transform is a powerful tool for solving differential and integrodifferential equations in engineering sciences. The use of Laplace transform for the solution of differential or integrodifferential equations sometimes leads to the solutions in ...
Xiaoli Qiang +3 more
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Loop Corrections in Non-Linear Cosmological Perturbation Theory [PDF]
, 1995 Using a diagrammatic approach to Eulerian perturbation theory, we analytically calculate the variance and skewness of the density and velocity divergence induced by gravitational evolution from Gaussian initial conditions, including corrections *beyond ...
Frieman, Joshua, Scoccimarro, Roman
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Higher-order properties of approximate estimators [PDF]
Journal of Econometrics, 2013 Many modern estimation methods in econometrics approximate an objective function, for instance, through simulation or discretization. These approximations typically affect both bias and variance of the resulting estimator. We first provide a higher-order expansion of such "approximate" estimators that takes into account the errors due to the use of ...
Kristensen, Dennis, Salanie, Bernard
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Approximation of Fractional Order PIλDμ-Controller Transfer Function Using Chain Fractions
Energies, 2022 The approximation of a fractional order PIλDμ-controller transfer function using a chain fraction theory is considered. Analytical expressions for the approximation of s±α components of the transfer functions of PIλDμ-controllers were obtained through ...
Yaroslav Marushchak +5 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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