Results 291 to 300 of about 3,566,549 (338)
Some of the next articles are maybe not open access.
Integration of Interval Functions
SIAM Journal on Mathematical Analysis, 1981An 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.
openaire +1 more source
On interval additive generators of interval overlap functions and interval grouping functions
Fuzzy Sets and Systems, 2017Overlap functions and grouping functions are generalizations of continuous t-norms and t-conorms, respectively, when associativity is dropped. These functions can be applied in decision making, classification or image processing. In this paper, the authors introduce interval overlap functions and interval grouping functions and show their properties ...
Junsheng Qiao, Bao Qing Hu
openaire +1 more source
Interval Functions and Non-Decreasing Functions
Canadian Journal of Mathematics, 1963In 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.
openaire +2 more sources
2022 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2022
upported by CNPq (301618/2019-4, 311429/2020-3), FAPERGS (19/2551-0001660-3), UFERSA, the Spanish Ministry of Science and Technology (TIN2016-77356-P, PID2019-108392GB I00 (MCIN/AEI/10.13039/501100011033)) and Navarra de Servicios y Tecnologías, S.A. (NASERTIC).
Pereira Dimuro, Graçaliz +6 more
openaire +2 more sources
upported by CNPq (301618/2019-4, 311429/2020-3), FAPERGS (19/2551-0001660-3), UFERSA, the Spanish Ministry of Science and Technology (TIN2016-77356-P, PID2019-108392GB I00 (MCIN/AEI/10.13039/501100011033)) and Navarra de Servicios y Tecnologías, S.A. (NASERTIC).
Pereira Dimuro, Graçaliz +6 more
openaire +2 more sources
Ultradifferentiable Functions on Compact Intervals
Mathematische Nachrichten, 1989The author deals with finding the spaces of ultradifferentiable functions which are linear topologically isomorphic to a power series space. The problem is treated for the spaces \({\mathcal E}_{(M_ p)}(I)\) (and \({\mathcal E}_{\{M_ p\}}(I))\) of all ultradifferentiable functions of the Beurling type (resp.
openaire +1 more source
Multiplicative Functions in Short Intervals
Canadian Journal of Mathematics, 1987A central problem in probabilistic number theory is to evaluate asymptotically the partial sumsof multiplicative functions f and, in particular, to find conditions for the existence of the “mean value”1.1In the last two decades considerable progress has been made on this problem, and the results obtained are very satisfactory.
openaire +1 more source
Optimal Enclosure of Quadratic Interval Functions
Reliable Computing, 1998The authors show that the computation of the optimal linear enclosure of a given quadratic interval function of \(n\) variables is NP-hard. An efficient algorithm is proposed in the case \(n=1\).
Koshelev, Misha +2 more
openaire +2 more sources
2006
The study of convex functions of one real variable offers an excellent glimpse of the beauty and fascination of advanced mathematics. The reader will find here a large variety of results based on simple and intuitive arguments that have remarkable applications.
Constantin P. Niculescu +1 more
openaire +1 more source
The study of convex functions of one real variable offers an excellent glimpse of the beauty and fascination of advanced mathematics. The reader will find here a large variety of results based on simple and intuitive arguments that have remarkable applications.
Constantin P. Niculescu +1 more
openaire +1 more source
Kernel Characterization of an Interval Function
Mathematics in Computer Science, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aubry, Clément +2 more
openaire +3 more sources
Approximation of Interval Functions
1998Another problem where interval computations axe used is a problem of approximating functions with simpler ones. In this chapter, we show that already the problem of optimal (narrowest) approximation of a quadratic interval function f (x1,..., xn) by a linear one is NP-hard.
Vladik Kreinovich +3 more
openaire +1 more source