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 ...

The discrete ordinate method is a numerical technique used for obtaining approximate solutions to the transport equation. The approximate solutions are shown to ...

The problem of convergence of a doubly indexed sequence presents some interesting phenomena related to the order of taking iterated limits as well as subsequences where one index is a function of the ...

Abstract: In this work, we first provide iteration-complexity bounds (pointwise and ergodic) for the inexact Krasnosel'skî-Mann iteration built from nonexpansive operators. Moreover, under an ...

Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, KSA. Department of Mathematics, Statistics and Physics, Qatar University, Doha, Qatar. A metric space ...

Abstract: In this paper, the convergence of NURBS curves is considered when the weights of a NURBS curve approach infinity. We prove that the limit of the NURBS curve does not exist as the weights ...

A Lavrentiev prox-regularization method for optimal control problems with point-wise state constraints is introduced where both the objective function and the constraints are regularized. The ...

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 ...

Optimization is a widely used tool in process systems engineering, but often the optimization problems have multiple suboptimal local minima. Deterministic global optimization algorithms can solve ...