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An approximation formula in Hilbert space ∗
"... Abstract Let {ϕk} ∞ 1 be a frame for Hilbert space H. The purpose of this paper is to present an approximation formula of any f ∈ H by a linear combination of finitely many frame elements in the frame {ϕk} ∞ 1 and show that the obtained approximation error depends on the bounds of frame and the co ..."
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Abstract Let {ϕk} ∞ 1 be a frame for Hilbert space H. The purpose of this paper is to present an approximation formula of any f ∈ H by a linear combination of finitely many frame elements in the frame {ϕk} ∞ 1 and show that the obtained approximation error depends on the bounds of frame
On the Validity of Approximation Formulae for Machine
"... In this paper we investigate how simplifying assumptions in the stochastic modeling of machine downtimes affect the output performance measures. Typically, literature in this area either addresses the estimation of statistical input modeling as such or investigates how sensitive output performance m ..."
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measures of queueing or simulation models are to the choice of stochastic properties of the input distributions. Practitioners, however, often prefer to use simplified formulae for a roughcut analysis. The results presented clearly show, that unjustified simplification might lead to erroneous results
GaussHermite Approximation Formula
, 2004
"... A multidimesional function y(⃗r) defined by a sample of points {⃗ri,yi} is approximated by a differentiable function ˜y(⃗r). The problem is solved by using the GaussHermite folding method developed in the nuclear shell correction method by Strutinsky. 1 ..."
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A multidimesional function y(⃗r) defined by a sample of points {⃗ri,yi} is approximated by a differentiable function ˜y(⃗r). The problem is solved by using the GaussHermite folding method developed in the nuclear shell correction method by Strutinsky. 1
On the Validity of Approximation Formulae for Machine Downtimes
, 2000
"... In this paper we investigate how simplifying assumptions in the stochastic modeling of machine downtimes affect the output performance measures. Typically, literature in this area either addresses the estimation of statistical input modeling as such or investigates how sensitive output performance m ..."
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Cited by 2 (0 self)
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measures of queueing or simulation models are to the choice of stochastic properties of the input distributions. Practitioners, however, often prefer to use simplified formulae for a roughcut analysis. The results presented clearly show, that unjustified simplification might lead to erroneous results
ON AN APPROXIMATION FORMULA FOR THE EXTREMAL INDEX IN A MARKOV CHAIN
, 1992
"... In a previous paper, Smith and Weissman have considered estimators of the extremal index of a stationary stochastic process, and have shown that the theoretical properties of these estimators depend on an approximation formula for the extremal index. However, the derivation of this formula was entir ..."
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In a previous paper, Smith and Weissman have considered estimators of the extremal index of a stationary stochastic process, and have shown that the theoretical properties of these estimators depend on an approximation formula for the extremal index. However, the derivation of this formula
A note on the GBS Bernstein’s approximation formula
 Annals of Univ. Craiova, Math. Comp. Sci. Ser
"... Abstract. The Bernstein’s GBS (Generalized Boolean Sum) is revisited and it’s remainder term is expressed in terms of bivariate divided differences. When the approximated function is two times differentiable on]0, 1[×]0, 1[, an upper bound estimation for the remainder term is given. A sufficient con ..."
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Cited by 1 (1 self)
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condition for the convergence of the sequence of the pseudopolynomials is also established. 2000 Mathematics Subject Classification. 41A36; 41A80. Key words and phrases. Bernstein’s operator, parametric extension, GBSBernstein operator, GBS Bernstein approximation formula, divided difference, bivariate
New approximate formulae for radiative accelerations in stars
"... Radiative accelerations are quantities that are crucial in the study of diffusion processes in stars. Their calculation requires the use of large atomic and opacity data bases, and generally necessitates very heavy numerical computations. New approximate formulae for radiative accelerations in stars ..."
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Radiative accelerations are quantities that are crucial in the study of diffusion processes in stars. Their calculation requires the use of large atomic and opacity data bases, and generally necessitates very heavy numerical computations. New approximate formulae for radiative accelerations
Logical Approximation: General Approach To The Construction Of Approximating Formulas
"... The principal approach to the constnlctic111 of approximating formuias is discussed. 1 % argue that, logical nornal forrr~s are the protot,ypes of any krlowil approximating and/or interpolating formulas. We suggest the generalized defiilitioll of ilornlal forms in predicate ELlogic and prove coridit ..."
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The principal approach to the constnlctic111 of approximating formuias is discussed. 1 % argue that, logical nornal forrr~s are the protot,ypes of any krlowil approximating and/or interpolating formulas. We suggest the generalized defiilitioll of ilornlal forms in predicate ELlogic and prove
Results 1  10
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788,715