On some sets of almost continuous functions which locally approximate a fixed function

In: Tatra Mountains Mathematical Publications, vol. 65, no. 1

Anna Loranty - Ryszard J. Pawlak

Details:

Year, pages: 2016, 105 - 118

Keywords:

almost continuous functions, approximation of a function, topology of uniform convergence, entropy (at a point)

About article:

In this paper, we investigate topological properties of the sets of almost continuous functions $f:[0,1]\to [0,1]$ which locally approximate a fixed function. This approximation is associated with the certain value of entropy of a function at a fixed point of the primal function.

How to cite:

ISO 690:

Loranty, A., Pawlak, R. 2016. On some sets of almost continuous functions which locally approximate a fixed function. In Tatra Mountains Mathematical Publications, vol. 65, no.1, pp. 105-118. 1210-3195.

APA:

Loranty, A., Pawlak, R. (2016). On some sets of almost continuous functions which locally approximate a fixed function. Tatra Mountains Mathematical Publications, 65(1), 105-118. 1210-3195.