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  1. No Access

    Article

    On Energy, Discrepancy and Group Invariant Measures on Measurable Subsets of Euclidean Space

    Given \(\mathcal{X}\) , some measurable subset of Euclidean space, one sometimes wants to construct a finite set of poin...

    S. B. Damelin, F. J. Hickernell… in Journal of Fourier Analysis and Applicatio… (2010)

  2. No Access

    Article

    On dislocation and mesh norm properties of s-extremal configurations on compact sets in ℝ n

    S. B. Damelin, V. Maymeskul in Acta Mathematica Hungarica (2008)

  3. No Access

    Article

    A walk through energy, discrepancy, numerical integration and group invariant measures on measurable subsets of euclidean space

    (A) The celebrated Gaussian quadrature formula on finite intervals tells us that the Gauss nodes are the zeros of the unique solution of an extremal problem. We announce recent results of Damelin, Grabner, Lev...

    S. B. Damelin in Numerical Algorithms (2008)

  4. No Access

    Article

    Pointwise bounds of orthogonal expansions on the real line via weighted Hilbert transforms

    We study pointwise bounds of orthogonal expansions on the real line for a class of exponential weights of smooth polynomial decay at infinity. As a consequence of our main results, we establish pointwise boun...

    S. B. Damelin in Advances in Computational Mathematics (2007)

  5. No Access

    Article

    The Cardinality of Sets of k-Independent Vectors over Finite Fields

    A set of vectors is k-independent if all its subsets with no more than k elements are linearly independent. We obtain a result concerning the maximal possible cardinality Ind q (

    S. B. Damelin, G. Michalski, Gary L. Mullen in Monatshefte für Mathematik (2007)

  6. No Access

    Chapter and Conference Paper

    Activity Recognition Via Classification Constrained Diffusion Maps

    Applying advanced video technology to understand human activity and intent is becoming increasingly important for video surveillance. In this paper, we perform automatic activity recognition by classification ...

    Yunqian Ma, S. B. Damelin, O. Masoud, N. Papanikolopoulos in Advances in Visual Computing (2006)

  7. No Access

    Article

    The Number of Linearly Independent Binary Vectors with Applications to the Construction of Hypercubes and Orthogonal Arrays, Pseudo (t, m, s)-Nets and Linear Codes

    We study formulae to count the number of binary vectors of length n that are linearly independent k at a time where n and k are given positive integers with 1 ≤ k ≤ n. Applications are given to the design of hype...

    S. B. Damelin, G. Michalski, G. L. Mullen, D. Stone in Monatshefte für Mathematik (2004)

  8. No Access

    Article

    Mean Convergence of Extended Lagrange Interpolation for Exponential Weights

    In this paper, we complete our investigations of mean convergence of Lagrange interpolation for fast decaying even and smooth exponential weights on the line. In doing so, we also present a summary of recent r...

    S. B. Damelin, H. S. Jung, K. H. Kwon in Acta Applicandae Mathematica (2003)

  9. No Access

    Article

    Weighted Polynomials on Discrete Sets

     For a real interval I of positive length, we prove a necessary and sufficient condition which ensures that the continuous L p (0 < p ⩽ ∞) norm of a weighted polynomial, P ...

    S. B. Damelin in Monatshefte für Mathematik (2003)

  10. No Access

    Article

    A Constructive Finite Field Method for Scattering Points on the Surface of d-Dimensional Spheres

    +1 variables over finite fields to scatter points on the surface of the unit sphere S d , d≥1. Applications are given for spherical t designs and generalized s energies.

    B. Bajnok, S. B. Damelin, J. Li, G. L. Mullen in Computing (2002)

  11. No Access

    Article

    Interpolatory product quadratures for Cauchy principal value integrals with Freud weights

    We prove convergence results and error estimates for interpolatory product quadrature formulas for Cauchy principal value integrals on the real line with Freud–type weight functions. The formulas are based on...

    S.B. Damelin, Kai Diethelm in Numerische Mathematik (1999)

  12. No Access

    Article

    The Weighted Lebesgue Constant of Lagrange Interpolation for Exponential Weights on [-1, 1]

    We establish uniform estimates for the weighted Lebesgue constant of Lagrange interpolation for a large class of exponential weights on [-1, 1]. We deduce theorems on uniform convergence of weighted Lagrange i...

    S. B. Damelin in Acta Mathematica Hungarica (1998)