Results 121 to 130 of about 1,379,744 (168)

Integration of Interval Functions

SIAM Journal on Mathematical Analysis, 1981
An interval function Y assigns an interval $Y(x) = (y(x),\bar y(x)]$ in the extended real number system to each x in its interval $X = [a,b]$ of definition. The integral of Y over $[a,b]$ is taken to be the interval $\int_a^b {Y(x)dx = [\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{\int } _a^b \underset{\raise0.3em\hbox{$\smash ...
Caprani, Ole, Madsen, Kaj, Rall, L. B.
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A note on dynamics of interval extensions of interval functions

2015 Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS) held jointly with 2015 5th World Conference on Soft Computing (WConSC), 2015
Let I = [a, b] a real compact interval and ƒ ∶ I → I a continuous function. Define K c ([a, b]) the class of all non empty compact subinterval of [a, b] and let ƒ c the natural extension of ƒ to K c ([a, b]), that is to say, ƒ c (J) = ƒ(J) for all J ∈ K c ([a, b]). Also, let F c ([a, b]) the class of all fuzzy-intervals with support contained in [a, b]
Heriberto Román-Flores, Yurilev Chalco-Cano   +1 more
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Extended Interval Power Function

Reliable Computing, 2003
A containment of a function \(f\) at a point \(x\) (finite or infinite) is defined as the set of accumulation points of sequences \(\{f(x_k)\}\) as \(\{x_k\}\) tends to \(x\) and where the numbers \(x_k\) belong to the domain of definition of \(f\).
Walter Krämer, Jürgen Wolff von Gudenberg   +1 more
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Kernel Characterization of an Interval Function

Mathematics in Computer Science, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aubry, Clément, Desmare, Rozenn, Jaulin, Luc   +2 more
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On Functions That are Monotone on No Interval

The American Mathematical Monthly, 1981
(1981). On Functions that are Monotone on No Interval. The American Mathematical Monthly: Vol. 88, No. 10, pp. 754-755.
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On the Approximation of Interval Functions

2006
Many problems in interval arithmetic in a natural way lead to a quantifier elimination problem over the reals. By studying closer the precise form of the latter we show that in some situations it is possible to obtain a refined complexity analysis of the problem.
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On Capacity Functionals in Interval Probabilities

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1997
This paper addresses some basic issues concerning set-functions which are endpoints in interval probabilities. The property of alternating of infinite order of set-functions is investigated in detail. Generalizing a result of Graf (1980), we establish a necessary and sufficient condition for the existence of the Radon-Nikodym derivatives for a larger ...
Hung T. Nguyen 0002, Nhu T. Nguyen, Tonghui Wang   +2 more
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On the Lebesgue function on infinite interval. I.

Publicationes Mathematicae Debrecen, 2022
In Theorem 1 there are considered polynomials, that are orthonormal on [0,\(\infty)\) with respect to some weight function and the corresponding Lebesgue functions \(\lambda_ n\). There are given upper estimates for \(\lambda_ n(x)\), \(0\leq x\leq A- 1\), \(x\geq 0\), \(\phi (x)\in Lip_ M\gamma,\quad (\frac{1}{2}
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Interval Functions and Non-Decreasing Functions

Canadian Journal of Mathematics, 1963
In a previous paper the author (1) has shown the following theorem.Theorem A. If each of H and K is a real-valued bounded function of subintervals of the number interval [a, b] and m is a real-valued non-decreasing function on [a} b] such that each of the integralsexists, then the integralexists.
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Recognition of interval Boolean functions

Annals of Mathematics and Artificial Intelligence, 2008
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Ondrej Cepek, David Kronus, Petr Kucera
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