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 ...

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 ...

Equicontinuity plays a vital role in general metric spaces and multiple studies have tried to characterize equicontinuity since its origin. Advent of soft set theory leads us to study these mappings ...

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 ...