The BKR inequality conjectured by van den Berg and Kesten in [11], and proved by Reimer in [8], states that for A and B events on S, a finite product of finite sets Si, i = 1, . . . , n, and P any product measure on S, P (A B) ≤ P (A)P (B), where the set A B consists of the elementary events which lie in both A and B for ‘disjoint reasons.’ Precisely, with n := {1, . . . , n} and K ⊂ n, for x ∈...

Abstract We discuss when an operator T, subject to a rather general inequality in hereditary form, admits unitarily equivalent functional model of Agler type the reproducing kernel Hilbert space associated inequality. The need not be Nevanlinna-Pick type. define defect D our context and structure spectrum T is finite rank. As second application, some consequences concerning ergodic behavior are...

The delay-dependent decentralized stabilization problem of multi-channel singular time-delay time-invariant systems subject to multiple internal and external incommensurate constant point delays is discussed based on the descriptor integral-inequality approach. The descriptor integral-inequality Lemma is firstly established. Based on the new Lemma and the Lyapunov-Krasovskii functional approach...

This paper is devoted to stability analysis of linear systems with state delay and input saturation. The domain of attraction resulting from an a priori designed state feedback law is analyzed using Lyapunov–Razumikhin and Lyapunov–Krasovskii functional approach. Both delay-independent and delay-dependent estimation of the domain of attraction are presented using the linear matrix inequality te...

This paper deals with the problem of delay-dependent stability criterion of arbitrary switched linear systems with time-varying delay. Based on switched quadratic Lyapunov functional approach and free-weighting matrix approach, some linear matrix inequality criterions are found to guarantee delay-dependent asymptotically stability of these systems. Simultaneously, arbitrary switched linear syst...

Using the fixed point method, we prove the Hyers–Ulam stability of the Cauchy–Jensen functional equation and of the Cauchy–Jensen functional inequality in fuzzy Banach ∗-algebras and in induced fuzzy C-algebras. Furthermore, using the fixed point method, we prove the Hyers–Ulam stability of fuzzy ∗-derivations in fuzzy Banach ∗-algebras and in induced fuzzy C-algebras. Published by Elsevier Ltd

In this paper, we study the Chebyshev centres of bounded subsets of normed spaces and obtain a norm inequality for relative centres. In particular, we prove that if T is a remotal subset of an inner product space H, and F is a star-shaped set at a relative Chebyshev centre c of T with respect to F, then llx - qT (x)1I2 2 Ilx-cll2 + Ilc-qT (c) 112 x E F, where qT : F + T is any choice functi...

nowhere are the barriers to a functional health infrastructure more clearly on display than in the goma region of democratic republic of congo. kaboru et al. report poorly integrated services for hiv and tb in this war-torn region. priorities in conflict zones include provision of security, shelter, food, clean water and prevention of sexual violence. in goma, immediate health priorities includ...

in order to estimate the effects of the macrc~econornic indicators on the income distribution of iran, the time series data during the period of 1971-1991 were used. first the yammetric inequality indicators (the gini coefficients) were estimated for the years 1991-1972. the results show the lowest level of inequality in 1980 with g=0.42 and the highest level in 1982 with g=0.55. arzulysing the...

equitable distribution of income and economic growth are challenges for policy-makers. therefore, it is important to investigate the influencing factors of it. given that financial development is an important factor affecting on income inequality, in this study, the effect of financial development on the gini coefficient as income inequality index is examined with using panel data methods durin...