Results 31 to 40 of about 277,530 (147)

On a subclass of C1 functions for which the Lagrange interpolation yields the Jackson order of approximation

open access: yesInternational 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
doaj   +1 more source

The approximation of Laplace-Stieltjes transforms with finite order

open access: yesJournal 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
doaj   +1 more source

Numerical Approximation of Fractional-Order Volterra Integrodifferential Equation

open access: yesJournal 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
doaj   +1 more source

Higher-order properties of approximate estimators [PDF]

open access: yesJournal 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
openaire   +8 more sources

Approximation of Fractional Order PIλDμ-Controller Transfer Function Using Chain Fractions

open access: yesEnergies, 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
doaj   +1 more source

Univariate right fractional polynomial high order monotone approximation

open access: yesDemonstratio 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.
doaj   +1 more source

Non-Integer Order Approximation of a PID-Type Controller for Boost Converters

open access: yesEnergies, 2021
In this work, the voltage regulation of a boost converter is addressed. A non-integer order PID controller is proposed to deal with the closed-loop instability of the system.
Allan G. S. Sánchez   +3 more
doaj   +1 more source

High-order accuracy approximation for the two-point boundary value problem of the fourth order with degenerate coefficients

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2017
The paper deals with the construction of high-order accuracy finite element schemes for the fourth-order ordinary differential equation with degenerate coefficients on the boundary.
A.A. Sobolev, M.R. Timerbaev
doaj  

Approximation Order for Multivariate Durrmeyer Operators with Jacobi Weights

open access: yesAbstract and Applied Analysis, 2011
Using the equivalence relation between K-functional and modulus of smoothness, we establish a strong direct theorem and an inverse theorem of weak type for multivariate Bernstein-Durrmeyer operators with Jacobi weights on a simplex in this paper. We also
Jianjun Wang, Chan-Yun Yang, Shukai Duan
doaj   +1 more source

Approximated Fractional Order Chebyshev Lowpass Filters [PDF]

open access: yesMathematical Problems in Engineering, 2015
We propose the use of nonlinear least squares optimization to approximate the passband ripple characteristics of traditional Chebyshev lowpass filters with fractional order steps in the stopband. MATLAB simulations of(1+α),(2+α), and(3+α)order lowpass filters with fractional steps fromα = 0.1 toα = 0.9 are given as examples. SPICE simulations of 1.2, 1.
Todd Freeborn   +2 more
openaire   +2 more sources

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