We show that a locally compact group G has equivalent right and left uniform structures if (and only if) the sets of bounded, complex-valued, right and left uniformly ...

Abstract: Questions of uniform approximation of continuous functions of bounded variation on ℝ n with the values in the Banach space are being studied by aggregates of summatory type constructed on ...

Let $X$ be a set, $A$ a family of real-valued functions on $X$ which contains the constants, $\mu_A$ the weak uniformity generated by $A$, and $U(\mu_AX)$ the ...

We stress a basic criterion that shows in a simple way how a sequence of real-valued functions can converge uniformly when it is more or less evident that the sequence converges uniformly away from a ...

1 Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, Ås, Norway. 2 Department of Mathematics and Statistics, University of Victoria, Victoria, Canada. We ...

Due to a planned power outage on Friday, 1/14, between 8am-1pm PST, some services may be impacted. A line drawing of the Internet Archive headquarters building façade. An illustration of a magnifying ...

Abstract: We consider deep neural networks (DNNs) with a Lipschitz continuous activation function and with weight matrices of variable widths. We establish a uniform convergence analysis framework in ...