Error Stability Properties of Generalized Gradient-Type Algorithms

Error Stability Properties of Generalized Gradient-Type Algorithms

We present a unified framework for convergence analysis of generalized subgradient-type algorithms in the presence of perturbations. A principal novel feature of our analysis is that perturbations need not tend to zero in the limit. It is established that the iterates of the algorithms are attracted, in a certain sense, to an e-stationary set of the problem, where e depends on the magnitude of ...

Generalized Ritt type and generalized Ritt weak type connected growth properties of entire functions represented by vector valued Dirichlet series

In this paper, we introduce the idea of generalized Ritt type and generalised Ritt weak type of entire functions represented by a vector valued Dirichlet series. Hence, we study some growth properties of two entire functions represented by a vector valued Dirichlet series on the basis of generalized Ritt type and generalised Ritt weak type.

Stability Properties of the Generalized Chernoff Inequality

In this short note we will present two stability properties of the Chernoff-Ou-Pan inequality, newly obtained in [6], which states that if K is a convex domain in the plane R2 with area a(K) , then one gets a(K) 1 k ∫ π k 0 ωk(θ )wk ( θ + π k ) dθ , where wk(θ ) is defined in [6] (see also §3 below), and the equality holds if and only if K is a circular disc. Mathematics subject classification ...

Stability Properties for Generalized Fractional Differential Systems

In the last decades fractional di erential equations have become popular among scientists in order to model various stable physical phenom ena with anomalous decay say that are not of exponential type Moreover in discrete time series analysis so called fractional ARMA models have been proposed in the literature in order to model stochastic processes the auto correlation of which also exhibits a...

Cauchy-Rassias Stability of linear Mappings in Banach Modules Associated with a Generalized Jensen Type Mapping