Approximation by generalized positive linear Kantorovich operators
, 2017 In the present article, we introduce generalized positive linear-Kantorovich operators depending on P\'olya-Eggenberger distribution (PED) as well as inverse P\'olya-Eggenberger distribution (IPED) and for these operators, we study some approximation ...
M. Dhamija, N. Deo
semanticscholar +2 more sources
Approximation by positive operators [PDF]
, 1992 If A = B + iC is a normal operator, where B, C are Hermitian, then in each unitarily invariant norm, the positive part of B is a best approximation to A from the class of positive operators. This generalizes results proved earlier by P.R. Halmos, T. Ando,
R. Bhatia, F. Kıttaneh
semanticscholar +2 more sources
Some Inequalities for Commutators of Bounded Linear Operators in Hilbert Spaces [PDF]
, 2008 Some new inequalities for commutators that complement and in some instances improve recent results obtained by F. Kittaneh in 'Inequalities for commutators of positive operators' (2007) and 'Norm inequalities for commutators of Hilbert space operators ...
Dragomir, Sever S
core +6 more sources
A note on the polynomial approximation of vertex singularities in the boundary element method in three dimensions [PDF]
, 2008 We study polynomial approximations of vertex singularities of the type $r^\lambda |\log r|^\beta$ on three-dimensional surfaces. The analysis focuses on the case when $\lambda > -\frac 12$.
Bespalov, A
core +7 more sources
Probabilistic methods in the approximation by linear positive operators [PDF]
, 1980 By the theorem of Daniell-Stone a probabilistic interpretation of sequences of linear positive operators in approximation theory is given which yields a generalization of Korovkin's theorem in the context of uniform integrability.
Harro Walk
semanticscholar +2 more sources
Efficient approximation of random fields for numerical applications [PDF]
, 2014 This article is dedicated to the rapid computation of separable expansions for the approximation of random fields. We consider approaches based on techniques from the approximation of non-local operators on the one hand and based on the pivoted Cholesky ...
Michael Peters +5 more
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On approximation of functions by certain operators preserving $x^2$ [PDF]
, 2008 summary:In this paper we extend the Duman-King idea of approximation of functions by positive linear operators preserving $e_k (x)=x^k$, $k=0,2$. Using a modification of certain operators $L_n$ preserving $e_0$ and $e_1$, we introduce operators $L_n ...
Lucyna Rempulska +5 more
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Estimates of the Approximation Error Using Rademacher Complexity: Learning Vector-Valued Functions [PDF]
, 2008 For certain families of multivariable vector-valued functions to be approximated, the accuracy of approximation schemes made up of linear combinations of computational units containing adjustable parameters is investigated.
Gnecco Giorgio +7 more
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Degree of Lp-approximation by certain positive convolution operators [PDF]
, 1978 The degree of Lp-approximation for a class of positive convolution operators is investigated. Recent results of De Vore, Bojanic, and Shisha for the uniform approximation by these operators and the K-functional of Peetre are employed to obtain the degree
Wood, Bruce
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Iteration of positive approximation operators [PDF]
, 1970 We present an analysis of the limit behavior of the k(n)-th iterates of positive linear approximation operators Ln, as n and k(n) tend to infinity. For various classes of operators the limit semigroup is explicitly identified.
Karlin, S +3 more
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