Chebyshev type inequalities for two classes of pseudo-integrals are shown. One of them concerning the pseudo-integrals based on a function reduces on the g-integral where pseudo-operations are defined by a monotone and continuous function g. Another one concerns the pseudo-integrals based on a semir
Chebyshev-type inequalities for scale mixtures
✍ Scribed by Villő Csiszár; Tamás F. Móri; Gábor J. Székely
- Book ID
- 108267226
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 249 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0167-7152
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📜 SIMILAR VOLUMES
Denote by \(\eta_{i}=\cos (i \pi / n), i=0, \ldots, n\) the extreme points of the Chebyshev polynomial \(T_{n}(x)=\cos (n \operatorname{arc} \cos x)\). Let \(\pi_{n}\) be the set of real algebraic polynomials of degree not exceeding \(n\), and let \(B_{n}\) be the unit ball in the space \(\pi_{n}\)
The Chebyshev type inequality for seminormed fuzzy integral is discussed. The main results of this paper generalize some previous results obtained by the authors. We also investigate the properties of semiconormed fuzzy integral, and a related inequality for this type of integral is obtained.