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Vector-valued pseudo almost periodic functions

Chuan Yi Zhang — 1997

Czechoslovak Mathematical Journal

Vector-valued pseudo almost periodic functions are defined and their properties are investigated. The vector-valued functions contain many known functions as special cases. A unique decomposition theorem is given to show that a vector-valued pseudo almost periodic function is a sum of an almost periodic function and an ergodic perturbation.

A convergence analysis of SOR iterative methods for linear systems with weakH-matrices

Cheng-yi ZhangZichen XueShuanghua Luo — 2016

Open Mathematics

It is well known that SOR iterative methods are convergent for linear systems, whose coefficient matrices are strictly or irreducibly diagonally dominant matrices and strong H-matrices (whose comparison matrices are nonsingular M-matrices). However, the same can not be true in case of those iterative methods for linear systems with weak H-matrices (whose comparison matrices are singular M-matrices). This paper proposes some necessary and sufficient conditions such that SOR iterative methods are...

Representation of uni-nullnorms and null-uninorms on bounded lattices

Yi-Qun ZhangYa-Ming WangHua-Wen Liu — 2024

Kybernetika

In this paper, we present the representation for uni-nullnorms with disjunctive underlying uninorms on bounded lattices. It is shown that our method can cover the representation of nullnorms on bounded lattices and some of existing construction methods for uni-nullnorms on bounded lattices. Illustrative examples are presented simultaneously. In addition, the representation of null-uninorms with conjunctive underlying uninorms on bounded lattices is obtained dually.

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