Results 21 to 30 of about 85 (70)

The Strong Fuzzy Henstock Integrals and Discontinuous Fuzzy Differential Equations

Journal of Applied Mathematics, Volume 2013, Issue 1, 2013., 2013
We generalized the existence theorems and the continuous dependence of a solution on parameters for initial problems of fuzzy discontinuous differential equation by the strong fuzzy Henstock integral and its controlled convergence theorem.
Yabin Shao, Huanhuan Zhang, Mehmet Sezer
wiley   +1 more source

On the Existence of Strongly Consistent Indirect Estimators When the Binding Function Is Compact Valued

Journal of Mathematics, Volume 2013, Issue 1, 2013., 2013
We provide sufficient conditions for the definition and the existence of strongly consistent indirect estimators when the binding function is a compact valued correspondence. We use conditions that concern the asymptotic behavior of the epigraphs of the criteria involved, a relevant notion of continuity for the binding correspondence as well as an ...
Stelios Arvanitis, Mike Tsionas
wiley   +1 more source

A Minimax Theorem for L-0‐Valued Functions on Random Normed Modules

Journal of Function Spaces, Volume 2013, Issue 1, 2013., 2013
We generalize the well‐known minimax theorems to L¯0‐valued functions on random normed modules. We first give some basic properties of an L0‐valued lower semicontinuous function on a random normed module under the two kinds of topologies, namely, the (ε, λ)‐topology and the locally L0‐convex topology.
Shien Zhao, Yuan Zhao, Pei De Liu
wiley   +1 more source

Best Approximation of Data Distributed in a Band

International Scholarly Research Notices, Volume 2011, Issue 1, 2011., 2011
We study the problem to approximate a data set which are affected in a such way that they present us as a band in the plane. We introduce a deviation measure, and we research the asymptotic behavior of the best approximants when the band shrink in some sense.
H. Cuenya, F. Levis, C. Rodriguez, J. Jahn   +3 more
wiley   +1 more source

集合値非加法的測度について (不確実・不確定性の下における数理的意思決定の理論と応用) [PDF]

, 2020
Egoroff's theorem and Lusin's theorem are most fundamental theorems in classical measure theory. They established for set-valued measures, which take values in the family of all non-void, closed subsets of a real normed space using Hausdorff metric by ...
Watanabe, Toshikazu
core  

The Measurability of Complex-Valued Functional Sequences [PDF]

, 2009
Narita Keiko - Hirosaki-city, Aomori, JapanEndou Noboru - Gifu National College of Technology, JapanShidama Yasunari - Shinshu University, Nagano, JapanGrzegorz Bancerek. The fundamental properties of natural numbers.
Shidama, Yasunari, Narita, Keiko, Endou, Noboru   +2 more
core   +1 more source

Sign‐changing and multiple solutions for the p‐Laplacian

Abstract and Applied Analysis, Volume 7, Issue 12, Page 613-625, 2002., 2002
We obtain a positive solution, a negative solution, and a sign‐changing solution for a class of p‐Laplacian problems with jumping nonlinearities using variational and super‐subsolution methods.
Siegfried Carl, Kanishka Perera
wiley   +1 more source

Hausdorff dimension of the maximal run-length in dyadic expansion [PDF]

, 2011
summary:For any $x\in [0,1)$, let $x=[\epsilon _1,\epsilon _2,\cdots ,]$ be its dyadic expansion. Call $r_n(x):=\max \{j\geq 1\colon \epsilon _{i+1}=\cdots =\epsilon _{i+j}=1$, $0\leq i\leq n-j\}$ the $n$-th maximal run-length function of $x$. P.
Zou, Ruibiao
core   +1 more source

Limiting behavior of the perturbed empirical distribution functions evaluated at U‐statistics for strongly mixing sequences of random variables

International Journal of Stochastic Analysis, Volume 10, Issue 1, Page 3-20, 1997., 1996
We prove the almost sure representation, a law of the iterated logarithm and an invariance principle for the statistic for a class of strongly mixing sequences of random variables {Xi, i ≥ 1}. Stationarity is not assumed. Here is the perturbed empirical distribution function and Un is a U‐statistic based on X1, …, Xn.
Shan Sun, Ching-Yuan Chiang
wiley   +1 more source

Fundamental theorem of Wiener calculus

International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 3, Page 443-452, 1990., 1990
In this paper we define and develop a theory of differentiation in Wiener space C[0, T]. We then proceed to establish a fundamental theorem of the integral calculus for C[0, T]. First of all, we show that the derivative of the indefinite Wiener integral exists and equals the integrand functional.
Chull Park, David Skoug, Lawrence Smolowitz   +2 more
wiley   +1 more source