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 ...

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 ...

Atsuji has internally characterized those metric spaces X for which each real-valued continuous function on X is uniformly continuous as follows: (1) the set X' of limit points of X is compact, and (2 ...

The probability density function (PDF) for a continuous uniform random variable is where a is the minimum support and b is the maximum support of the distribution.

Python implementation of Remez algorithm, provides the best uniform polynomial approximation to functions based on the minimization of the maximum absolute error and ...

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 ...

This paper presented a novel method on designing redundant dictionary from known orthogonal functions. Usual way of discretization of continuous functions is uniform sampling. Our experiments show ...