If function y=f(x) has a derivative in the point x: The existing function derivative f’ (x) in point x and the function increment representation in the form ∆y=A*∆x+α(∆x)*∆x are equivalent features of ...

Abstract: In this paper, using the concept of horizontal membership functions, a new definition of fuzzy derivative called granular derivative is proposed based on granular difference. Moreover, a new ...

Transactions of the American Mathematical Society, Vol. 256 (Dec., 1979), pp. 125-144 (20 pages) It is shown that, in separable topological vector spaces which are Baire spaces, the usual properties ...

Initial value problems for first order partial functional almost linear equations with unbounded delay are considered. The functional dependence is represented by the generalized Hale operator with ...

The Lebesgue-Nikodym Theorem states that for a Lebesgue measure an additive set function which is -absolutely continuous is the integral of a Lebegsue integrable a measurable function ; that is, for ...

We introduce a new type of functions from a soft set to a soft set and study their properties under soft real number setting. Firstly, we investigate some properties of soft real sets. Considering the ...

ABSTRACT: The aim of this paper is to prove that the average function of a trigonometrically ρ-convex function is trigonometrically ρ-convex. Furthermore, we show the existence of support curves ...