Results 301 to 310 of about 631,044 (314)

Approximating max–min weighted -joins

Operations Research Letters, 2013
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Iwata, Satoru, Ravi, R.
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Weighted Approximation by Rational Operators

Results in Mathematics, 2003
In this interesting paper, the author considers Shephard-type rational operators \[ S_n(f; x)= \Biggl[\sum^{n-1}_{k=1}| x- x_k|^{-s} f(x_k)\Biggr]\Biggl/\Biggl[\sum^{n-1}_{k=1}| x- x_k|^{-s}\Biggr] \] for appropriately chosen nodes \(\{x_k\}\) in \([-1,1]\). Let \(\alpha> 0\) and \[ w(x)= (1- x^2)^\alpha,\quad x\in [-1,1]. \] The author establishes the
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Approximating weighted induced matchings

Discrete Applied Mathematics, 2018
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Min Chih Lin, Julián Mestre, Saveliy Vasiliev   +2 more
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Weighted exponential polynomial approximation

Science in China Series A, 2003
A necessary and sufficient condition for completeness of systems of exponentials with a weight in Lp is established and a quantitative relation between the weight and the system of exponential in Lp is obtained by using a generalization of Malliavin’s uniqueness theorem about Watson’s problem.
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Non-Archimedean Weighted Approximation

1979
Publisher Summary This chapter describes non-archimedean weighted approximation. The chapter illustrates that F is a non-archimedean, non-trivially valued field, which is locally compact for its natural topology. E a non-archimedean locally convex Hausdorff space over F, and ┍ the directed family of all non-archimedean continuous seminorms on E. The
José Paulo, Q. Carneiro
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Weighted Polynomial Approximation of Analytic Functions

Journal of the London Mathematical Society, 1988
For a Borel measure \(d\mu\) on [-1,1] let \(E_ n(f)_{L_ p(d\mu)}\) denote the best approximation of f by polynomials of degree at most n in the space \(L_ p(d\mu)\). Necessary and sufficient condition is given on \(d\mu\) such that the geometric decrease of \(E_ n(f)_{L_ p}(d\mu)\) and the analyticity of f (d\(\mu\)-a.e.) are equivalent.
Saff, E. B., Totik, V.
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Approximation of weighted classes

Russian Mathematical Surveys, 1981
Considering the definition \(K_{\epsilon}(A,X)=\inf \{n: d_ n(A,X)\leq \epsilon \}\) where \(d_ n(A,X)\) is the Kolmogorov diameter, the author gives estimates for \(K_{\epsilon}(W_ p^{r,\alpha}(\Omega_ T),L_ s\Omega_ T)\) and for \(K_{\epsilon}(W_ p^{r,\alpha,\beta}(\Omega_ T),L_ s(\Omega_ T))\).
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Weighted Best Polynomial Approximation

1987
For some weight functions, including Jacobi weights, we relate the best weighted polynomial approximation and asymptotic behavior of the derivatives of the optimal polynomials to weighted main-part moduli of smoothness.
Z. Ditzian, V. Totik
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On weighted L p simultaneous approximation

Acta Mathematica Hungarica, 1996
In this paper the author discusses the simultaneous approximation of a function and of its derivatives in weighted \(L^p\) spaces. Both trigonometric polynomial approximation and algebraic polynomial approximation are discussed. In the case of trigonometric polynomial approximation the weight function is supposed to belong to the Muckenhoupt class.
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Polynomial approximation with special doubling weights

2003
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DE BONIS, Maria Carmela, MASTROIANNI, Giuseppe Maria, RUSSO, Maria Grazia   +2 more
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