On Bernstein approximants and the φ-variation of a fuzzy random variable

Information Sciences

Volumn 133, Issue 1-2, 2001, Pages 39-67

  Terán, Pedro ^a   López Díaz, Miguel ^a  

^a UNIVERSITY OF OVIEDO   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; INFORMATION THEORY; RANDOM PROCESSES; VARIATIONAL TECHNIQUES;

FUZZY RANDOM VARIABLE;

FUZZY SETS;

EID: 0035272219     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-0255(01)00076-7     Document Type: Article

References (28)

1. Demonstration du théorème de Weierstrass, fondée sur le calcul des probabilités
2. Bernstein polynomials and the law of large numbers
3. The quadratic variation of a function and its Fourier coefficients
4. Fréchet differentiability, p-variation and uniform Donsker classes
5. The order of the remainder in derivatives of composition and inverse operators for p-variation norms
6. Strong and weak Φ-variation of Brownian motion
7. The strong p-variation of martingales and orthogonal series
8. Constructive definitions of fuzzy random variables
9. Approximating integrably bounded fuzzy random variables in terms of the "generalized" Hausdorff metric
10. A generalized law of large numbers
11. Bernstein-type operators diminish the φ-variation
12. Integration of correspondences
13. Integrals, conditional expectations, and martingales of multivalued functions
14. Convex fuzzy sets
15. Différentielle d'une fonction floue
16. Fuzzy random variables
17. Limit theorems for fuzzy random variables
18. Integrals of set-valued functions
19. Fuzzy random variables revisited
20. Remarks on the set-valued integrals of Debreu and Aumann
21. Iteration of positive approximation operators