On generalized preopen sets

Journal Title: Математичні Студії - Year 2019, Vol 51, Issue 2

Abstract

Firstly in this paper, we find some conditions under which μ-preopen sets of a GTS or μ-space X may be equivalent to μ-open in X. Finally, we obtain some characterizations of generalized paracompactness of a GTS or μ-space X via μ-preopen sets in X.

Authors and Affiliations

A. Mukharjee, R. M. Roy

Keywords

Related Articles

Convergence analysis of the Gauss-Newton- Potra method for nonlinear least squares problems

In this paper we study an iterative differential-difference method for solving nonlinear least squares problems with nondifferentiable residual function. We have proved theorems which establish the conditions of converge...

Matrix representation of Taylor’s formula for mappings in finite dimensional spaces

In this paper, the matrix representations of derivatives, differentials and Taylor’s formulas for functionals and mappings are presented. The behavior law of intermediate points in the formula’s remainder terms is found...

Analytic functions in the unit ball of bounded L-index: asymptotic and local properties

We have generalized some criteria of boundedness of L-index in joint variables for analytic functions in the unit ball, where L:Bn→Rn+ is a continuous vector-function, Bn is the unit ball in Cn. One of propositions gives...

About some problem for entire functions of unbounded index in any direction

In this paper, we select a class of entire functions F(z1,…,zn) such that for any direction (b1,…,bn)∈Cn∖{0} and for every point (z01,…,z0n)∈C the function F(z01+tb1,…,z0n+tbn) is of bounded index as a function in variab...

Growth of p-th means of the Poisson-Stieltjes integrals in polydisc

We prove a sharp upper estimate of the pth means of the Poisson-Stieltjes integrals in the unit polydisc for p>1. The estimate is given in terms of the smoothness of a complex-valued Stieltjes measure μ. If the measure μ...

Download PDF file
  • EP ID EP609520
  • DOI 10.15330/ms.51.2.195-199
  • Views 49
  • Downloads 0

How To Cite

A. Mukharjee, R. M. Roy (2019). On generalized preopen sets. Математичні Студії, 51(2), 195-199. https://europub.co.uk/articles/-A-609520