Spread the loveTeaching students to identify graphs of continuous functions is an important concept in mathematics. Understanding the continuity of a function can help students make predictions about ...

Abstract This paper investigates four classes of functions with a single discontinuous point. We give the sufficient and necessary conditions under which the second order iterates are continuous ...

Brouwer's continuity principle states that all functions from infinite sequences of naturals to naturals are continuous, that is, for every sequence the result depends only on a finite initial segment ...

Optimal embeddings of Sobolev type spaces into spaces of continuous functions are established. On extending the classical Morrey embedding on the Hölder continuity of functions with weak derivatives ...

Abstract The purpose of this paper is to introduce a nano-topological space via graph theory which depends on a neighborhood between the vertices based on undirected graph with example. The Concept of ...

Graph algorithms are widely used for decision making and knowledge discovery. To ensure their effectiveness, it is essential that their output remains stable even when subjected to small perturbations ...

On (signed) Takagi-Landsberg functions: $p$th variation, maximum, and modulus of continuity ...

In the space of continuous functions of a real variable, the set of nowhere differentiable functions has long been known to be topologically "generic". In this paper it is shown further that in a ...