Results 1 to 10 of about 31,101 (332)

Weak convergence of probability measures in spaces of smooth functions [PDF]

Stochastic Processes and Their Applications, 1986
The paper deals with conditions of weak convergence of measures on the space \(C^k\) of \(k\)-times differentiable functions defined on \(\mathbb R^n\) (or on a ball of \(\mathbb R^n)\) with values in \(\mathbb R^N\) \((N\) and \(n\) are positive integers). The author has found necessary and sufficient conditions for tightness of a sequence of measures
Richard J Wilson
exaly   +6 more sources

Kuelbs–Steadman Spaces for Banach Space-Valued Measures [PDF]

Mathematics, 2020
We introduce Kuelbs–Steadman-type spaces ( K S p spaces) for real-valued functions, with respect to countably additive measures, taking values in Banach spaces. We investigate the main properties and embeddings of L q -type spaces into
Antonio Boccuto, Bipan Hazarika, Hemanta Kalita   +2 more
doaj   +2 more sources

Sequential Convergence on the Space of Borel Measures

Results in Mathematics, 2021
We study equivalent descriptions of the vague, weak, setwise and total-variation (TV) convergence of sequences of Borel measures on metrizable and non-metrizable topological spaces in this work. On metrizable spaces, we give some equivalent conditions on the vague convergence of sequences of measures following Kallenberg, and some equivalent conditions
Liangang Ma
openaire   +3 more sources

Existence and Convergence of Probability Measures in Banach Spaces [PDF]

Transactions of the American Mathematical Society, 1970
Theorems of the Bochner-Sazonov type are proved for Banach spaces with a basis. These theorems give sufficient conditions of a topological nature under which a positive definite function is the characteristic functional of a probability measure. The conditions are, in a certain natural sense, best possible.
A. Acosta
openaire   +2 more sources

Two-scale convergence with respect to measures and homogenization of monotone operators [PDF]

Journal of Function Spaces and Applications, 2005
In 1989 Nguetseng introduced two-scale convergence, which now is a frequently used tool in homogenization of partial differential operators. In this paper we discuss the notion of two-scale convergence with respect to measures.
Dag Lukkassen, Peter Wall
doaj   +2 more sources

Order convergence of vector measures on topological spaces [PDF]

Mathematica Bohemica, 2008
Summary: Let \(X\) be a completely regular Hausdorff space, \(E\) a boundedly complete vector lattice, \(C_{b}(X)\) the space of all, bounded, real-valued continuous functions on \(X\), \(\mathcal {F}\) the algebra generated by the zero-sets of \(X\), and \(\mu \: C_{b}(X) \to E\) a positive linear map.
Jun Kawabe, Khurana, Surjit Singh
openaire   +4 more sources

Enhanced exploration in reinforcement learning using graph neural network based intrinsic reward mechanism [PDF]

Scientific Reports
We propose a Graph Neural Network-based Intrinsic Reward Learning (GNN-IRL) framework to address the exploration–exploitation trade-off in Reinforcement Learning (RL). This approach leverages the structural modeling capabilities of Graph Neural Networks (
J. Arun Pandian, Ramkumar Thirunavukarasu, Rajganesh Nagarajan   +2 more
doaj   +2 more sources

Touch-Based Partner Yoga for Gay, Bisexual, Transgender, and Queer Men in a Community Wellness Setting: Protocol for a Mixed Methods Program Evaluation of “The Studio” [PDF]

JMIR Research Protocols
BackgroundLeisure-time physical activity (LTPA) is a well-established contributor to physical, psychological, and social well-being worldwide. Human touch also plays a vital role in life course health, yet opportunities for safe, consensual touch are ...
Jesse Strunk Elkins, Travis R Scheadler, Pasquale E Rummo   +2 more
doaj   +2 more sources

On weak convergence of measures on Hilbert spaces [PDF]

Journal of Multivariate Analysis, 1989
The paper considers the relationship between the weak convergence of measures on a separable Hilbert space H equipped with the \(w^*\)- and strong topology (denoted respectively by \(H_ w\) and \(H_ s)\). Assuming the weak convergence (weak compactness) of measures in \(H_ w\), conditions are shown necessary to ensure weak convergence (weak compactness)
Merkle, Milan J
openaire   +3 more sources

On compactness and convergence in spaces of measures

Mathematische Annalen, 1976
Adamski, Wolfgang, Gänßler, Peter, Kaiser, Sigurd   +2 more
openaire   +3 more sources