The problem of convergence of a doubly indexed sequence presents some interesting phenomena related to the order of taking iterated limits as well as subsequences where one index is a function of the ...

This is a preview. Log in through your library . Abstract Let $\{f_k\}$ be a sequence of continuous real valued functions defined on an interval $I$ and $N$ a fixed ...

We study the relationship between various types of convergence for extended real-valued functionals engendered by the associated convergence of their epigraphs; pointwise convergence being treated as ...

ABSTRACT: In [1] and some following publications, Tadmor and Gelb took up a well known property of conjugate Fourier series in 1-d, namely the property to detect jump discontinuities in given spectral ...

Abstract: We consider algorithms for prediction, compression and entropy estimation in a universal setup. In each case, we estimate some function of an unknown distribution p over the set of natural ...

Topological spaces form the foundational framework for modern analysis and geometry, characterised by a set equipped with a collection of open subsets satisfying specific axioms. This flexible ...

Statistical convergence and approximation theorems constitute a dynamic area in mathematical analysis, bridging classical convergence methods with probabilistic approaches that account for irregular ...