Some conditions are introduced which imply pointwise convergence theorems for increasing sequences of orthogonal projections on $L^2(\mu), \mu$ finite, as well as a ...

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 ...

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 ...