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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Construction of steady gradient solitons by interpolation
插值 稳态梯度孤子 坍塌式
2023/4/13
In this talk, we give an overall description of the construction of the collapsed flying-wing-like steady gradient solitons, as well as the high dimension non-collapsed steady gradient solitons. In pa...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixed-norm of orthogonal projections and analytic interpolation on dimensions of measures
正交投影 混合范数 度量维度 分析插值
2023/5/5
We obtain new mixed-norm estimates and geometric results on projections. In the proof we introduce a new quantity called s-amplitude, and interpolate analytically not only on p,q, but also on dimensio...
This brief paper introduces an algorithm for smooth interpolation of a
multivariate function. The input data for the algorithm consists of a set of function
values and derivatives up to order r on a...
Solving interpolation problems via generalized eigenvalue minimization
Generalized eigenvalue interpolation control system the analysis of linear matrix inequality
2015/8/12
A number of problems in the analysis and design of control systems may be reformulated as the problem of minimizing the largest generalized eigenvalue of a pair of symmetric matrices which depend affi...
Interpolation of bilinear operators and compactness
interpolation Banach spaces bilinear operators compactness
2012/6/6
The behavior of bilinear operators acting on interpolation of Banach spaces for the $\rho$ method in relation to the compactness is analyzed. Similar results of Lions-Peetre, Hayakawa and Person's com...
Interpolation of Parametric CNC Machining Path Under Confined Jounce
Interpolation velocity planning confined jounce time-optimal parametric curve vibration high-precision CNC machining
2013/9/9
Aiming at reducing the CNC machining vibration and increasing machining quality, an interpolation method for parametric tool paths with confined jounce, jerk, acceleration, and speed is proposed. An a...
Let K denote an algebraically closed field. We study the relation between an ideal I in K[x1,...,xn] and its cross sections I_a=I+. In particular, we study under what conditions I can be recover...
An Improved Kriging Interpolation Technique Based on SVM and Its Recovery Experiment in Oceanic Missing Data
Least Square Support Vector Machine Kriging Interpolation Variogram SVM-Kriging
2013/1/30
In Kriging interpolation, the types of variogram model are very finite, which make the variogram very difficult to describe the spatial distributional characteristics of true data. In order to overcom...
Interpolation inequalities for derivatives in variable exponent Lebesgue-Sobolev spaces
interpolation inequality Landau-Kolmogorov type inequality Variable exponent Lebesgue-Sobolev space maximal function operator
2011/10/26
The author shows the interpolation inequalities for derivatives in variable exponent Lebesgue-Sobolev spaces by applying the boundedness of the Hardy-Littlewood maximal operator on L^{p(x)}. As applic...
An Off-Diagonal Marcinkiewicz Interpolation Theorem on Lorentz Spaces
quasilinear operator Marcinkiewicz interpolation theorem Lorentz space restricted weak type estimate
2011/10/10
Let (X,u) be a measure space. In thispaper, using some ideas from L. Grafakos and N. Kalton, the authorsestablish an off-diagonal Marcinkiewicz interpolation theorem for aquasilinear operator T in Lor...
A Unified Generating Function of the q-Genocchi Polynomials with their Interpolation Functions
Genocchi numbers and polynomials q-Genocchi numbers and polynomials Number Theory
2011/9/23
Abstract: The purpose of this paper is to construct of the unification q-extension Genocchi polynomials. We give some interesting relations of this type of polynomials. Finally, we derive the q-extens...
Pade'-type rational and barycentric interpolation
Rational interpolation Pade'-type interpolation rational representation barycentric representation piecewise rational interpolation
2011/9/20
Abstract: In this paper, we consider the particular case of the general rational Hermite interpolation problem where only the value of the function is interpolated at some points, and where the functi...
A study of the uniform accuracy of univariate thin plate spline interpolation
plate spline interpolation Numerical Analysis
2011/9/16
Abstract: The usual power function error estimates do not capture the true order of uniform accuracy for thin plate spline interpolation to smooth data functions in one variable. In this paper we prop...
Groupes Quantiques d'Interpolation de Langlands de Rang 1
Groupes Quantiques d'Interpolation de Langlands Quantum Algebra
2011/9/1
We study a certain family, parameterized by an positive integer g, of double deformations of the envelopping algebra U(sl2), in the spirit of arXiv:0809.4453. We prove that each of these double deform...
Absolute continuity, Interpolation and the Lyapunov order
Nevanlinna-Pick interpolation representations Hardy algebra absolute continuity Lyapunov order
2011/8/24
Abstract: We extend our Nevanlinna-Pick theorem for Hardy algebras and their representations to cover interpolation at the absolutely continuous points of the boundaries of their discs of representati...