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Approximation Theory XV: San Antonio 2016 [PDF]
These proceedings are based on papers presented at the international conference Approximation Theory XV, which was held May 22\u201325, 2016 in San Antonio, Texas.
DE MARCHI, Stefano +2 more
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The spaces of exponential type vectors of complex degrees of positive operators
New classes of interpolation spaces of exponential type vectors of complex degrees of positive operators are defined. Properties of the approximation spaces generated by the considered interpolation spaces are investigated.
M. I. Dmytryshyn
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Fast Computation of Minimal Interpolation Bases in Popov Form for Arbitrary Shifts [PDF]
We compute minimal bases of solutions for a general interpolation problem, which encompasses Hermite-Pad\'e approximation and constrained multivariate interpolation, and has applications in coding theory and security.
Jeannerod, Claude-Pierre +3 more
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On the steady‐state performance of bias‐compensated LMS algorithm
Adaptive filtering algorithms are widespread today owing to their flexibility and simplicity. Due to environments in which they are normally immersed, their robustness against noise has been a topic of interest.
Rodrigo Pimenta +3 more
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Solving Poisson Equations by the MN-Curve Approach
In this paper, we adopt the choice theory of the shape parameters contained in the smooth radial basis functions to solve Poisson equations. Luh’s choice theory, based on harmonic analysis, is mathematically complicated and applies only to function ...
Lin-Tian Luh
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Mathematical Modeling of COVID-19 Transmission Using a Fractional Order Derivative
In this article, the mathematical model of COVID-19 is analyzed in the sense of a fractional order Caputo operator with the consideration of an asymptomatic class. The suggested model is comprised of four compartments. The results from fixed point theory
Badr S. Alkahtani
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Relativistic Hartree-Bogoliubov Calculation of Specific Heat of the Inner Crust of Neutron Stars [PDF]
We calculate the specific heat of the inner crust of neutron stars within a local-density approximation to an improved relativistic Hartree-Bogoliubov theory. Non-uniformness of the system enhances the specific heat in particular at low temperatures. The
Matsuzaki, Masayuki, Nakano, Takuya
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Quadratic Interpolation and Linear Lifting Design
A quadratic image interpolation method is stated. The formulation is connected to the optimization of lifting steps. This relation triggers the exploration of several interpolation possibilities within the same context, which uses the theory of convex ...
Joel Solé, Philippe Salembier
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Density Problem and Approximation Error in Learning Theory
We study the density problem and approximation error of reproducing kernel Hilbert spaces for the purpose of learning theory. For a Mercer kernel on a compact metric space (, ), a characterization for the generated reproducing kernel Hilbert space (RKHS)
Ding-Xuan Zhou
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Undamped Free Vibration Analysis of Functionally Graded Beams: A Dynamic Finite Element Approach
A Dynamic Finite Element (DFE) method for coupled axial–flexural undamped free vibration analysis of functionally graded beams is developed and subsequently used to investigate the system’s natural frequencies and mode shapes. The formulation is based on
Aaron Gee, Seyed M. Hashemi
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