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Numerical integration for the Choquet integral

Information Fusion, 2016
Study of the Choquet integral for continuous functions.Numerical integration for the Choquet integral on the real line.Numerical examples of the computation of the numerical Choquet integral.Numerical computation of the Hellinger distance for fuzzy measures.
Vicenç Torra, Yasuo Narukawa
exaly   +2 more sources

Numerical differentiation by integration

Mathematics of Computation, 2013
While there are various methods which have been developed for numerical differentiation, the estimation of the derivative of a function is often problematic when one has only noisy values of the function itself. In this instance it is important to employ a method which is able to calculate \(f'(x)\) in a stable manner. This article specifically focuses
Xiaowei Huang 0003   +2 more
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Numerical measures of integration

Journal of Advanced Nursing, 1986
In a previous article the authors showed how, by following the clinical careers of individual student nurses, one could paint a coherent and illuminating picture of opportunities for clinical learning on the wards. By observing and counting, and using only the simplest methods of calculation, numerical measures of comparison were constructed.
K, Jacka, D, Lewin
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On the numerical integration of certain singular integrals

Computing, 1992
For singular integrals in the sense of Hadamard new numerical approximations are derived. Error estimates and numerical results are given.
H. W. Stolle, Raimond Strauss
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Numerical Integration Formulas for Hypersingular Integrals

Numerical Mathematics: Theory, Methods and Applications
Summary: It is known that the solution of the Cauchy problem for partial differential equations of hyperbolic type can be reduced to singular integrals of a unique form. Laterly, singular integrals were called integrals in the sense of Hadamard or Hadamard integrals. In addition to equations of the hyperbolic type, Hadamard integrals are widely used in
Shadimetov, Kholmat M.   +1 more
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Formulae for Numerical Integration

The Mathematical Gazette, 1939
Numerical integration, including the numerical integration of differential equations, is becoming increasingly necessary in technical applications. For such purposes, when a very high order of accuracy is not required, formulae which use successive values of the function to be integrated are more convenient than those using differences.
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