On e-I-open sets, e-I-continuous functions and decomposition of continuity
Journal Title: Journal of Mathematics and Applications - Year 2015, Vol 38, Issue
Abstract
In this paper, we introduce the notations of e-I-open sets and strong B*_I -set to obtain a decomposition of continuing via idealization. Additionally, we investigate properties of e-I-open sets and strong B*_I -set. Also we studied some more properties of e-I-open sets and obtained several characterizations of e-I-continuous functions and investigate their relationship with other types of functions.
Authors and Affiliations
Wadei Al-Omeri, Mohd. Salmi Md. Noorani, A. Al-Omari
Keywords
Related Articles
- EP ID EP342614
- DOI 10.7862/rf.2015.2
- Views 60
- Downloads 0
On circularly symmetric functions
Let D ⸦ C and 0 ∈ D. A set D is circularly symmetric if for each [formula] a set [formula] is one of three forms: an empty set, a whole circle, a curve symmetric with respect to the real axis containing ϱ. A function f...
Starlikeness and convexity of certain integral operators defined by convolution
We define two new general integral operators for certain analytic functions in the unit disc U and give some sufficient conditions for these integral operators on some subclasses of analytic functions.
On Generalised Quasi-ideals and Bi-ideals in Ternary Semigroups
In this paper, we introduce the notions of generalised quasi-ideals and generalised bi-ideals in a ternary semigroup. We also characterised these notions in terms of minimal quasi-ideals and minimal bi-ideals in a ternar...
On the zeros of an analytic function
Kuniyeda, Montel and Toya had shown that the polynomial p(z) = [formula]; a_0 ≠ 0, of degree n, does not vanish in [formula], where p > 1, q > 1, (1/p) + (1/q) = 1 and we had proved that p(z) does not vanish in [formula]...
Remarkable identities
In the paper a number of identities involving even powers of the values of functions tangent, cotangent, secans and cosecans are proved. Namely, the following relations are shown: [formula], [formula], [formula], where m...