Results 1 to 10 of about 6,556,524 (264)
On Markov Moment Problem and Related Results [PDF]
Symmetry, 2021 We prove new results and complete our recently published theorems on the vector-valued Markov moment problem, by means of polynomial approximation on unbounded subsets, also applying an extension of the positive linear operators’ result. The domain is the Banach lattice of continuous real-valued functions on a compact subset or an Lν1 space, where ν is
Octav Olteanu
exaly +3 more sources
Polynomial Approximation on Unbounded Subsets, Markov Moment Problem and Other Applications [PDF]
Mathematics, 2020 This paper starts by recalling the author’s results on polynomial approximation over a Cartesian product A of closed unbounded intervals and its applications to solving Markov moment problems.
Octav Olteanu
doaj +4 more sources
From Hahn–Banach Type Theorems to the Markov Moment Problem, Sandwich Theorems and Further Applications [PDF]
Mathematics, 2020 The aim of this review paper is to recall known solutions for two Markov moment problems, which can be formulated as Hahn–Banach extension theorems, in order to emphasize their relationship with the following problems: (1) pointing out a previously ...
Octav Olteanu
doaj +4 more sources
On the Moment Problem and Related Problems
Mathematics, 2021 Firstly, we recall the classical moment problem and some basic results related to it. By its formulation, this is an inverse problem: being given a sequence (yj)j∈ℕn of real numbers and a closed subset F⊆ℝn, n∈{1,2,…}, find a positive regular Borel ...
Octav Olteanu
doaj +4 more sources
Mathematics, 2022 As is well-known, unlike the one-dimensional case, there exist nonnegative polynomials in several real variables that are not sums of squares. First, we briefly review a method of approximating any real-valued nonnegative continuous compactly supported ...
Octav Olteanu
doaj +4 more sources
On Markov Moment Problem, Polynomial Approximation on Unbounded Subsets, and Mazur–Orlicz Theorem [PDF]
Symmetry, 2021 We review earlier and recent results on the Markov moment problem and related polynomial approximation on unbounded subsets. Such results allow proving the existence and uniqueness of the solutions for some Markov moment problems. This is the first aim of the paper.
Cristian Octav Olteanu
exaly +4 more sources
Polynomial Approximation on Unbounded Subsets and the Markov Moment Problem
International Journal of Analysis and Applications, 2013 We start this review paper by recalling some known and relatively recent results in polynomial approximation on unbounded subsets. These results allow approximation of nonnegative continuous functions with compact support contained in the first quadrant ...
Octav Olteanu
doaj +4 more sources
New Results on Markov Moment Problem [PDF]
International Journal of Analysis, 2013 The present work deals with the existence of the solutions of some Markov moment problems. Necessary conditions, as well as necessary and sufficient conditions, are discussed. One recalls the background containing applications of extension results of linear operators with two constraints to the moment problem and approximation by polynomials on ...
exaly +2 more sources
Existence, Uniqueness, and a Constructive Solution Algorithm for a Class of Finite Markov Moment Problems [PDF]
SIAM Journal on Applied Mathematics, 2008 We consider a class of finite Markov moment problems with arbitrary number of positive and negative branches. We show criteria for the existence and uniqueness of solutions, and we characterize in detail the non-unique solution families. Moreover, we present a constructive algorithm to solve the moment problems numerically and prove that the algorithm ...
Laurent Gosse, Olof Runborg
exaly +7 more sources
Journal of Mathematical Analysis and Applications, 2002 The authors prove a necessary and sufficient condition of null-controllability and approximate null-controllability for the wave equation on a half-axis. As is shown in a cited reference, the frequency extinguishing problem for a finite string is equivalent to the Markov trigonometric moment problem.
Sklyar, G.M., Fardigola, L.V.
exaly +2 more sources