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If K is a compact metric space, a continuous function, and a monotone sequence of continuous functions from K into that converges pointwise to f on K, then converges uniformly to f on K.

Filomat, Vol. 30, No. 3, International Conference on Recent Advances in Pure and Applied Mathematics 2015, ICRAPAM 2015 (2016), pp. 557-567 (11 pages) Abstract. In the present paper we are concerned ...

AbstractIn this paper we continue, in the realm of metric spaces, the study of exhaustiveness and weak exhaustiveness at a point of a net of functions initiated by Gregoriades and Papanastassiou in ...

When the supports of distributions in P are uniformly bounded, consistent algorithms exist for each of the problems. Namely, the convergence of the estimate to the true value can be bounded by a ...

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 which ...