Function estimation over the Besov spaces under pointwise ℓr (1 ≤ r < ∞) risks is considered. Minimax rates of convergence are derived using a constrained risk inequality and wavelets. Adaptation ...

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 ...