Search results for "Spouge's approximation"

showing 3 items of 3 documents

Approximation properties of higher degree F-transforms based on B-splines

2015

The paper deals with the F-transform with polynomial components with respect to a generalized fuzzy partition given by B-splines. We investigate approximation properties of the inverse F-transform in this case and prove that using B-splines allows us to improve the quality of approximation of smooth functions.

Equioscillation theoremDiscrete mathematicsPolynomialApproximation theoryBox splineApproximation errorApplied mathematicsInverseSpouge's approximationMinimax approximation algorithmMathematics2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)
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Approximation properties of q-Kantorovich-Stancu operator

2015

In this paper we study some properties of Kantorovich-type generalizations of the q-Stancu operators. We obtain some approximation properties for these operators, estimating the rate of convergence by using the first and second modulus of continuity. Also, we investigate the statistical approximation properties of the q-Kantorovich-Stancu operators using the Korovkin-type statistical approximation theorem.

Operator (computer programming)Rate of convergenceStatistical approximationApplied MathematicsMathematical analysisDiscrete Mathematics and CombinatoricsSpouge's approximationSpectral theoremOperator theoryOperator normAnalysisModulus of continuityMathematicsJournal of Inequalities and Applications
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The Random-Phase Approximation

2007

In this chapter we extend the TDA particle-hole formalism of Chap. 9 to include correlations in the nuclear ground state. This sophisticated particle-hole formalism is called the random-phase approximation (RPA). In this description the simple Hartree-Fock particle-hole vacuum is replaced by a correlated ground state involving many-particle-many-hole excitations of the simple particle-hole vacuum. The resulting configuration mixing in excited states is more involved in the RPA than it is in the TDA. The ground-state correlations induce both particle-hole and hole-particle components in the RPA wave function.

PhysicsGeneral Relativity and Quantum CosmologyMuffin-tin approximationAstrophysics::High Energy Astrophysical PhenomenaQuantum mechanicsExcited stateNuclear TheoryBorn–Huang approximationDiscrete dipole approximation codesSpouge's approximationGround stateRandom phase approximationEikonal approximation
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