1. $\mu$-statistically convergent function sequences
- Creator:
- Duman, Oktay and Orhan, Cihan
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- pointwise and uniform convergence, $\mu $-statistical convergence, convergence in $\mu $-density, finitely additive measure, and additive property for null sets
- Language:
- English
- Description:
- In the present paper we are concerned with convergence in $\mu $-density and $\mu $-statistical convergence of sequences of functions defined on a subset $D$ of real numbers, where $\mu $ is a finitely additive measure. Particularly, we introduce the concepts of $\mu $-statistical uniform convergence and $\mu $-statistical pointwise convergence, and observe that $\mu $-statistical uniform convergence inherits the basic properties of uniform convergence.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public