The main result is a Young-Stieltjes integral representation of the composition ο of two functions and such that for some ∈ (0,1], has a derivative satisfying a Lipschitz condition of order , and has bounded -variation for some 1 + . If given ∈ (0, 1], the -variation of is bounded for some...

In this note, we answer positively a question by Belegradek and Kapovitch[2] about the relation between rational homotopy theory and a problem in Riemannian geometry which asks that total spaces of which vector bundles over compact nonnegative curved manifolds admit (complete) metrics with...

Probabilistic induction allows us to conclude that the probability of a hypothesis being true increases when evidences in favor of the hypothesis occur. A claim made by Karl Popper and David Miller that probabilistic induction is impossible is shown to be untenable, using an example

The labeling problem considered for this is called face-labeling of the maximal planar or triangular planar graphs in connection with the notion of the . Several triangular planar and maximal planar graphs such as the wheels, the fans etc. have been considered. The face-labeling of maximal...

A new multi-objective approach for the cell formation problem in a lumpy demand environment is presented. The objectives addressed in this paper are grouping efficiency and capacity requirements. In lumpy demand the required capacity is affected by demand variability and the correlation between...

The exact problem we are concerned with in this paper is of the following nature. There are a finite number of producers each equipped with a utility function of the standard variety, which converts an input into a producer specific output. An allocation of the input among the producers is...

We discuss the asymptotic behavior of time-inhomogeneous Metropolis chains for solving constrained sampling and optimization problems. In addition to the usual inverse temperature schedule , the type of Markov processes under consideration is controlled by a divergent sequence of parameters...

Results are presented for some infinite series appearing in Feynman diagram calculations, many of which are similar to the Euler series. These include both one-, two- and three-dimensional series. The sums of these series can be evaluated with the help of various integral representations for...

We consider a risk process modeled as a compound Poisson process. We find the optimal dynamic unlimited excess of loss reinsurance strategy to minimize infinite time ruin probability, and prove the existence of a smooth solution of the corresponding Hamilton-Jacobi-Bellman equation as well as a...