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 ...
Uniform Pointwise Convergence on Shishkin-Type Meshes for Quasi-Linear Convection-Diffusion Problems
A singularly perturbed quasi-linear two-point boundary value problem with an exponential boundary layer is considered. The problem is discretized using a nonstandard upwinded first-order difference ...
Statistical convergence has emerged as a compelling generalisation of classical convergence methods, particularly within the context of fuzzy and normed spaces. This area of research addresses the ...
Statistical convergence and approximation theorems constitute a dynamic area in mathematical analysis, bridging classical convergence methods with probabilistic approaches that account for irregular ...
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