Let an estimated function belong to a Lipschitz class of order α. Consider a minimax approach where the infimum is taken over all possible estimators and the supremum is taken over the considered ...

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 ...

Modern pointwise ergodic theory developed largely out of the work of Bourgain in the late 80s and early 90s, but recent efforts over the past 10 years have seen the field develop in new directions, as ...