Over recent decades, approximation theory has evolved to incorporate sophisticated operator-based techniques that extend classical sampling methods. Central to these developments is the use of ...

Asymmetric normed spaces extend the classical framework of normed spaces by allowing the distance function to lack the symmetry property. This refinement facilitates the capture of directional or ...

Our main result is to prove almost-sure convergence of a stochastic-approximation algorithm defined on the space of measures on a noncompact space. Our motivation is to apply this result to ...

Kövari and Pommerenke [19], and Elliott [8], have shown that the truncated Faber series gives a polynomial approximation which (for practical values of the degree of the polynomial) is very close to ...