Fatouʼs lemma Weak convergence Bochner integral Multifunction Saturation property Lebesgue property 1. Introduction Fatouʼs lemma for real-valued functions is a basic result in the theory of Lebesgue integration, and motivated by issues arising in mathematical economics in the late sixties, it wa...
fatous lemma and lebesgues convergence theorem for measures费托引理和勒贝格收敛定理的措施.pdf,Journal of Applied Mathematics and Stochastic Analysis, 13:2 (2000), 137-146. FATOU’S LEMMA AND LEBESGUE’S CONVERGENCE THEOREM FOR MEASURES ONISIMO HERNiNDEZ-
Weak convergenceFatou's lemmaInverse momentsCrame´r's theoremBerry–Esse´en's boundSufficient conditions for convergence of monotone moments of weakly convergent random variables, concerning the rate of convergence, are given. They are often more convenient than the necessary and sufficient ...
Fatou's lemma in infinite dimensions 来自 Elsevier 喜欢 0 阅读量: 21 作者: EJ Balder 摘要: By a general method, based on weak convergence of transition probabilities, new infinite-dimensional Fatou lemmas are derived.DOI: 10.1016/0022-247X(88)90096-0 被引量: 75 ...
We present new convergence results and new versions of Fatou lemma in Mathematical Economics based on various tightness conditions and the existence of scalarly integrable selections theorems for the (sequential)-weak-star upper limit of a sequence of measurable multifunctions taking values in the dua...
weak convergencesetwise convergenceMarkov decision processThe classical Fatou lemma states that the lower limit of a sequence of integrals of functions is greater than or equal to the integral of the lower limit. It is known that Fatou's lemma for a sequence of weakly converging measures states ...
Fatou lemmaKomlós convergencesequential weak upper limitTightnessWe present new convergence results and new versions of Fatou lemma in Mathematical Economics based on various tightness conditions and the existence of scalarly integrable selections theorems for the (sequential)-weak-star upper limit of a ...
measureFatou's lemma states under appropriate conditions that the integral of the lower limit of a sequence of functions is not greater than the lower ... EA Feinberg,PO Kasyanov,NV Zadoianchuk - 《Theory of Probability & Its Applications》 被引量: 61发表: 2014年 Weak solutions to a nonlin...
By a general method, based on weak convergence of transition probabilities, new infinite-dimensional Fatou lemmas are derived.doi:10.1016/0022-247X(88)90096-0Erik J BalderElsevier Inc.Journal of Mathematical Analysis and ApplicationsE.J. Balder, Fatou's lemma in infinite dimensions, J. Math. ...
Majumdar, Weak sequential convergence in L1( ; X) and an approximate version of Fatou's lemma, J. Math. Anal. Appl. 114 (1986), 569-573.Khan, M. Ali and M. Majumdar (1986), "Weak sequential convergence in L1(µ, X) and an approximate version of Fatou's lemma", Journal of ...