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In this paper we study the L-convergence of the Riesz means S R(f) for the sublaplacian on the sphere S in the complex n-dimensional space C. We show that S R(f) converges to f in L (S) when δ > δ(p) := (2n− 1)| 2 − 1 p |. The index δ(p) improves the one found by Alexopoulos and Lohoué [AL], 2n| 1 2 − 1 p |, and it coincides with the one found by Mauceri [Ma] and, with different methods, by Mül...

In Optimal Transport (OT) on a finite metric space, one defines distance the probability simplex that extends ground space. The is value of Linear Programming (LP) problem set non-negative-valued 2-way tables with assigned functions as margins. We apply to this case methodology moves from Algebraic Statistics (AS) and use it derive Monte Carlo Markov Chain (MCMC) solution algorithm.

In this paper, we show that the metric space (Q,G) is a positivelycurved space (PC-space) in the sense of Alexandrov. We also discuss some issues like metric tangent cone and exponential map of (Q, G). Then we give a stratification of this metric space according to the signature of points in Q. Some properties of this stratification are shown. The second part of this paper is devoted to some ba...

In this paper, we show that the metric space (Q,G) is a positivelycurved space (PC-space) in the sense of Alexandrov. We also discuss some issues like metric tangent cone and exponential map of (Q, G). Then we give a decomposition of this metric space according to the signature of points in Q. Some properties of this decomposition are shown. The second part of this paper is devoted to some basi...

The reverse logistics network (RLN) design for sustainable supply chain management is a strategic decision in configuration, and higher influenced by uncertainty. This paper applies bi-level stochastic multi-objective model to an RLN disposable product recycling system. goal balance the overall cost against associated environmental risks. An LP-metric based sample average approximation formulat...