Given a nondecreasing sequence $$\Lambda =\{\lambda _n>0\}$$ such that $$\displaystyle \lim _{n\rightarrow \infty } \lambda _n=\infty ,$$ we consider the $$\mathcal {N}_\Lambda :=\left\{ _ne^{i\theta _n},n\in \,\mathbb {N}\right\} $$ , where $$\theta _n$$ are independent random variables uniformly distributed on $$[0,2\pi ].$$ We discuss conditions under which N_\Lambda is zero set (a uniqness ...

Dragomir introduced the Jensen-type inequality for harmonic convex functions (HCF) and Baloch et al. studied its different variants, such as h -convex functions. In this paper, we aim to establish functional form of inequalities presented by prove superadditivity monotonicity properties these functionals. Furthermore, de...

We study the so-called Skorokhod reflection problem (SRP) posed for real-valued functions defined on a partially ordered set (poset), when there are two boundaries, considered also to be functions of the poset. The problem is to constrain the function between the boundaries by adding and subtracting nonnegative nondecreasing (NN) functions in the most efficient way. We show existence and unique...

In this work we compare two semidiscrete schemes for the solution of hy-perbolic conservation laws, namely the relaxation [JX95] and the Kurganov Tadmor central scheme [KT00]. We are particularly interested in their behavior under small time steps, in view of future applications to convection diffusion problems. The schemes are tested on two benchmark problems, with one space variable. 1 Motiva...

In this research, we study an extended version of the joint order batching and scheduling optimization for manual vegetable picking packing lines with consideration workers’ fatiguing effect. This problem is faced by many B2C fresh produce grocers in China on a daily basis which could severely decrease overall workflow efficiency distribution center customer satisfaction. sequencing problem, se...

By recasting the Klein–Gordon equation as an eigen-equation in coupling parameter [Formula: see text] basic comparison theorem may be written text], where and are monotone nondecreasing shapes of two central potentials on text]. Meanwhile, corresponding parameters that functions energy We weaken sufficient condition for ground-state spectral ordering by proving (for example dimension) if coupli...

This paper presents a novel approach to compute optimal machine, shop oor and shell space expansion times under uncertain customer demand. It considers multiple machine types and allows for positive lead times for each type. Demand is assumed to be nondecreasing in a \weak" sense. A polynomial time algorithm (FIFEX) is developed and shown to be eeective and eecient with an example from the Semi...

Abstract. Recently, Hwang proved a central limit theorem for restricted Λ-partitions, where Λ can be any nondecreasing sequence of integers tending to infinity that satisfies certain technical conditions. In particular, one of these conditions is that the associated Dirichlet series has only a single pole on the abscissa of convergence. In the present paper, we show that this condition can be r...