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 ...

We derive optimal error estimates in the max norm for the two-scale method for the Monge-Ampère equation introduced in [R. H. Nochetto, D. Ntogkas, and W. Zhang ...

This is a preview. Log in through your library . Abstract We investigate the pointwise convergence of the solution to the fractional Schrödinger equation in ℝ². By establishing Hs(ℝ²) L³(ℝ²) estimates ...

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