Keywords: Filter Modular space (Modular) filter convergence Rate of convergence Sampling operator Integral operator Urysohn operator Mellin convolution operator a b s t r a c t We investigate the order of approximation of a real-valued function f by means of suitable families of sampling type operators, which include both discrete and integral ones. We give a unified approach, by means of which...

We prove new convergence results for a class of multiscale trust–region algorithms introduced by Gratton et al. in [GST06] to solve unconstrained minimization problems within the Euclidean space R. We will state less restrictive assumptions on the function which has to be minimized and on the iteratively computed trust–region corrections, which allow for proving first– and second–order converge...

We consider initial-boundary value problems, with a kth derivative in time and a highest spatial derivative of order q, and their semi-discrete finite difference approximations. With an internal truncation error of order p ≥ 1, and a boundary error of order r ≥ 0, we prove that the convergence rate is: min(p, r + q). The assumptions needed for these results to hold are: i) The continuous proble...

in this study we introduce the concepts of statistical convergence of order$beta$ and strong $p-$ces`{a}ro summability of order $beta$ for sequencesof fuzzy numbers. also, we give some relations between the statisticalconvergence of order $beta$ and strong $p-$ces`{a}ro summability of order$beta$ and construct some interesting examples.

We establish local convergence and rate of convergence of the classical augmented Lagrangian algorithm under the sole assumption that the dual starting point is close to a multiplier satisfying the second-order sufficient optimality condition. In particular, no constraint qualifications of any kind are needed. Previous literature on the subject required, in addition, the linear independence con...