Published in Lobachevskii Journal of Mathematics
Weakly prime and semiprime ideals in ordered semigroups have been introduced and studied by N. Kehayopulu in [1, 2]. In this paper we introduced and studied the left weakly prime and left weakly semiprime ideals of ordered semigroups. We also prove that any left ideal of ordered semigroup is the intersection of all irreducible left weakly prime ide...
Published in Lobachevskii Journal of Mathematics
The aim of this paper is to establish the weak law of large numbers with and wihtout random indices for double arrays of random elements of p-uniformly smooth Banach space. Our result is more general and stronger than some well-known ones.
Published in Lobachevskii Journal of Mathematics
This paper proves that sequentially-quotient, π-mappings preserve weak Cauchy sn-symmetric space. By this result, it is obtained that quotient (resp. pseudo-open), π-mappings mappings preserve weak Cauchy symmetric (resp. semi-metric) spaces.
Published in Lobachevskii Journal of Mathematics
In this paper we give two mapping theorems on ℵ-spaces and sn-metrizable spaces by means of some sequence-covering mappings and mssc-mappings, and get characterizations of quotient (pseudo-open) mssc-images of metric spaces.
Published in Lobachevskii Journal of Mathematics
In this paper, the m-point approximating subdivision scheme with one parameter is proposed and analyzed where m > 1. Smoothness of schemes is higher in comparison with the existing binary and ternary subdivision schemes. The proposed scheme also generalizes several subdivision schemes.
Published in Lobachevskii Journal of Mathematics
In this paper a Fourier spectral method to solve the initial periodic boundary values problem for the model of wheezes is proposed. A second order finite difference approximation in time combined with spectral approximation in space for this problem is investigated. The stability and rate of convergence for the scheme are proved.
Published in Lobachevskii Journal of Mathematics
We get a new representation for the generating density of convex bodies in R3 in terms of curvature radii of their projections, which is dual to the classical representation of W. Blaschke.
Published in Lobachevskii Journal of Mathematics
Some semigroups (without order) are decomposable into r-archimedean semigroups. In the present paper we deal with the problem of decomposing certain ordered semigroups into r (l)-archimedean components. The semilattice congruences play an important role in the decomposition of semigroups -without order. When we pass from semigroups without order to...
Published in Lobachevskii Journal of Mathematics
In this paper, we introduce and study the notion of almost contra-continuous multifunctions. Characterizations and properties of almost contra-continuous multifunctions are discussed.
Published in Lobachevskii Journal of Mathematics
We introduce the notions of conditional probabilities and independence for states on symmetric logics. We investigate monotonicity of conditional probabilities. We also study continuity properties of conditional probabilities with respect to natural pseudometric for subadditive state.
