On Regulated Functions
Journal Title: Journal of Mathematics and Applications - Year 2017, Vol 40, Issue
Abstract
The main purpose of this review article is to present the concept of a regulated function and to indicate the connection of the class of regulated functions with other significant classes of functions. In particular, we give a characterization of regulated functions in terms of step functions and we show that the linear space of regulated functions forms a Banach space under the classical supremum norm.
Authors and Affiliations
Józef Banaś, Mariola Kot
On the solutions of a class of nonlinear functional integral equations in space C [0,a]
The principal aim of this paper is to give sufficient conditions for solvability of a class of some nonlinear functional integral equations in the space of continuous functions defined on interval [0, a]. The main tool u...
Location of Zeros of Lacunary-type Polynomials
In this paper, we present some interesting results concerning the location of zeros of Lacunary-type of polynomial in the complex plane. By relaxing the hypothesis and putting less restrictive conditions on the coefficie...
Problem with integral condition for evolution equation
We propose a method of solving the problem with nonhomogeneous integral condition for homogeneous evolution equation with abstract operator in a linear space H. For right-hand side of the integral condition which belongs...
Some seminormed difference sequence spaces defined by a Musielak-Orlicz function over n-normed spaces
In the present paper we introduced some seminormed difference sequence spaces combining lacunary sequences and Musielak-Orlicz function M = (M_k) over n-normed spaces and examine some topological properties and inclusion...
Some results on 2-absorbing ideals in commutative semirings
In this paper, we study the concepts of 2-absorbing and weakly 2-absorbing ideals in a commutative semiring with non-zero identity which is a generalization of prime ideals of a commutative semiring and prove number of r...