TITLE

Exact Markov-Type Inequalities for Oscillating Perfect Splines

AUTHOR(S)
Bojanov, Borislav; Naidenov, Nikola
PUB. DATE
January 2002
SOURCE
Constructive Approximation;2002, Vol. 18 Issue 1, p37
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We prove the inequality |s[SUP(k)]|L[SUBp][-1,1] = |T[SUP(k),[SUBrn]|L[SUBp][-1,1]|S|C[-1,1], 1 = k = r, 1 = p = 8, for each perfect spline s of degree r with n - r knots and n zeros in [-1,1]. Here T[SUBrn] is the Tchebycheff perfect spline of degree r with n - r knots, normalized by the condition |T[SUBrn]|C[-1,1] := max[SUB-1=x=1] |T[SUBrn](x)| = 1. The constant |T[SUP(k),[SUBrn]|L[SUBp][-1,1] in above inequality is the best possible.
ACCESSION #
8871417

 

Related Articles

  • Frequency Tracking with Spline Based Chirp Atoms. Wacker, Matthias; Galicki, Miroslav; Witte, Herbert // International Journal of Future Generation Communication & Netwo;2010, Vol. 3 Issue 4, p11 

    The tracking of prominent oscillations with time-varying frequencies is a common task in many signal processing applications. Therefore, efficient methods are needed to meet precision and run-time requirements. We propose two methods that extract the energy of the time frequency plane along a...

  • Bayesian semiparametric multi-state models. Kneib, Thomas; Hennerfeind, Andrea // Statistical Modelling: An International Journal;2008, Vol. 8 Issue 2, p169 

    Multi-state models provide a unified framework for the description of the evolution of discrete phenomena in continuous time. One particular example is Markov processes which can be characterised by a set of time-constant transition intensities between the states. In this paper, we will extend...

  • A Generalization of the EMML and ISRA Algorithms for Solving Linear Systems. Ciurte, Anca; Nedevschi, Sergiu; Rasa, Joan // Journal of Computational Analysis & Applications;Oct2010, Vol. 12 Issue 4, p799 

    From an algebraic point of view, the EMML and ISRA algorithms for Positron Emission Tomography can be considered as iterative procedures for solving a class of linear system of equations. We introduce an algorithm A(p), p ∈ ℝ, such that A(1) coincides with EMML and A(-1) with a...

  • Stationary states of a directed planar growth process. Gates, D.J. // Advances in Applied Probability;Dec97, Vol. 29 Issue 4, p857 

    Introduces a Markov process which describes the planar growth process in two dimensions. Calculation of the two measures of porosity; Application of the planar growth process; Discussion of dynamic reversibility.

  • Markov models in image analysis. An opthalmic application.  // Advances in Applied Probability;Jun98, Vol. 30 Issue 2, p290 

    Presents an abstract of the report `Markov models in image analysis. An ophthalmic application,' by A. Simo and E. De Ves.

  • ON THE RELATION BETWEEN RECURRENCE AND ERGODICITY PROPERTIES IN DENUMERABLE MARKOV DECISION CHAINS. Dekker, R.; Hordijk, A. // Mathematics of Operations Research;Aug94, Vol. 19 Issue 3, p539 

    Studies the properties of the set of Markov chains induced by the deterministic policies in a deterministic decision chain. Focus on geometric ergodicity and recurrence; Uniform stability of Markov chains generated by deterministic policies; Equivalence of uniform geometric ergodicity and...

  • A geometric invariant in weak lumpability of finite Markov chains. Ledoux, James // Journal of Applied Probability;Dec97, Vol. 34 Issue 4, p847 

    Considers the weak lumpability of finite homogenous Markov chains. Partition of the initial state space; Implications of weak lumpability; Existence of a direct sum of polyhedral cones; Transition probability of the original chain.

  • On the rate of convergence of Borovkov's multidimensional ergodic Markov chain. Tanikawa, Akio // Journal of Applied Probability;Jun97, Vol. 34 Issue 2, p328 

    Presents a multidimensional Markov chain considered by Borovkov. Establishment of Markov chains; Results of convergence rates.

  • On the time a Markov chain spends in a lumped state. Norberg, Tommy // Journal of Applied Probability;Jun97, Vol. 34 Issue 2, p340 

    Examines Markov chain time spends in a lumped state. Characteristic of hitting set distributions.

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sign out of this library

Other Topics