Andrzej Komisarski

collaborators

2 papers

math.CA2016

Inequalities between remainders of quadratures

Andrzej Komisarski, Szymon Wąsowicz

It is well-known that in the class of convex functions the (nonnegative) remainder of the Midpoint Rule of the approximate integration is majorized by the remainder of the Trapezoi…

math.FA2014

On the stability of the existence of fixed points for the projection-iterative methods with relaxation

Andrzej Komisarski, Adam Paszkiewicz

We consider an $α$ -relaxed projection $P_{A}^{α} : H \to H$ given by $P_{A}^{α} (x) = α P_{A} (x) + (1 - α) x$ where $α \in [0, 1]$ and $P_{A}$ is the projection onto a non-empty, convex and closed subset $A$ …