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 ...

In this paper we give a characterization of pointwise and uniform convergence of sequences of homogeneous polynomials on a Banach space by means of the convergence of their level sets. Results are ...

Statistical convergence and approximation theorems constitute a dynamic area in mathematical analysis, bridging classical convergence methods with probabilistic approaches that account for irregular ...

We investigate bounded linear operators on separable Hilbert spaces and their convergence properties. We provide connections between uniform, strong, and weak convergence modes and interpret them in ...