We study bounds on the rate of convergence to the stationary distribution in monotone separable networks which are represented in terms of stochastic recursive sequences. Monotonicity properties of this subclass of Markov chains allow us to formulate conditions in terms of marginal network characteristics. Two particular examples, generalized Jackson networks and multiserver queues, are conside...

The preference of a concave nontransitive consumer is represented by a skew-symmetric and concave-convex bifunction on the set of all commodity bundles. This paper characterizes finite sets of demand observations that are consistent with the demand behavior of such kind of consumer by a generalized monotonicity property.

This paper is concerned with developing accurate and efficient nonstandard discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic partial differential equations (PDEs) in the case of one spatial dimension. The primary goal of the paper to develop a general framework for constructing high order local discontinuous Galerkin (LDG) methods for approximating viscosity...

in this paper a novel numerical approach is presented for solving the transient incompressible fluid flow problems with free surfaces in generalized two-dimensional curvilinear coordinate systems. solution algorithm is a combination of implicit real-time steps and explicit pseudo-time steps. governing fluid flow equations are discretized using a collocated finite-volume mesh. convective terms a...

Abstract. We find two-sided inequalities for the generalized hypergeometric function with positive parameters restricted by certain additional conditions. Our lower bounds are asymptotically precise at x = 0, while the upper bounds are either asymptotically precise or at least agree with q+1Fq((aq+1), (bq);−x) at x = ∞. Inequalities are derived as corollaries of a theorem asserting the monotony...

Abstract. We consider the principal eigenvalue λ 1 (α) corresponding to ∆u = λ(α)u in Ω, ∂u ∂ν = αu on ∂Ω, with α a fixed real, and Ω ⊂ R a C bounded domain. If α > 0 and small, we derive bounds for λ 1 (α) in terms of a Stekloff-type eigenvalue; while for α > 0 large we study the behavior of its growth in terms of maximum curvature. We analyze how domain monotonicity of the principal eigenvalu...

For the aggregation problem of attributes with a correlation relationship, it is often necessary to take factor into account in order make decision results more objective and reasonable. The Heronian mean an operator which reflects interaction between attributes. It great theoretical practical significance study popularize multiple attribute decision-making methods based on operator. In this pa...

In this paper, we study the generalized complete (p, q)-elliptic integrals of first and second kind as an application trigonometric functions with two parameters, establish monotonicity, convexity concavity these functions. particular, some Turán type inequalities are given. Finally, also show new series representations by applying Alzer Richard’s methods.