A linear and continuous operator between Banach spaces is said to be absolutely summing if it maps unconditionally convergent series into absolutely convergent series. Moreover, it improves properties of stochastic processes. Indeed, N.Ghoussoub in [7] proved that an operator is absolutely summing if and only if it maps amarts (asymptotic martingales) into uniform amarts. In this paper we go a ...

We establish some companions of an Ostrowski type integral inequality for functions whose derivatives are absolutely continuous. Applications for composite quadrature rules are also given.

We show some estimates and approximation results of operators convolution type de?ned on Riesz Bounded variation spaces in Rn. also state embedding that involve the collection generalized absolutely continuous functions.

In this paper, using theorems on the continuous dependence of solution differential inclusions perturbation, we obtain high-order exact penalty for nonconvex extremal problems in space Banach-valued absolutely functions. Using type distance function classes