This paper mainly studies the distributed optimization problems in a class of undirected networks. The objective function problem consists smooth convex and non-smooth function. Each agent network needs to optimize sum two functions. For this kind problem, based on operator splitting method, uses proximal deal with term further designs algorithm that allows use uncoordinated step-sizes. At same...

In this paper, we introduce a new smooth estimator for continuous distribution functions on the positive real half-line using Szasz-Mirakyan operators, similar to Bernstein's approximation theorem. We show that proposed outperforms empirical function in terms of asymptotic (integrated) mean-squared error, and generally compares favourably with other competitors theoretical comparisons. Also, co...