<abstract xmlns="http://www.w3.org/1999/xhtml"> In this paper, we introduce the class of [λ, ρ] -continuous functions. First, we investigate some relations between the classes of [ λ1, ρ1] and [λ2,ρ2] -continuous functions for different pairs [λ1,ρ1] , [λ2,ρ2]. Next, we give an equivalent condition for a function in order that it will belong to the discussed class.</abstract>

In this paper, we introduce the class of  [λ, ρ] -continuous functions. First, we investigate some relations between the classes of [ λ1, ρ1]  and [λ2,ρ2]  -continuous functions for different pairs [λ1,ρ1] , [λ2,ρ2]. Next, we give an equivalent condition for a function in order that it will belong to the discussed class.

On the family of [λ,ρ]-continuous functions

Institute of Mathematics Academia Pomeraniensis ul. Arciszewskiego 22b PL-76-200 Słupsk POLAND

Tatra Mountains Mathematical Publications

{"article-title":"On the family of [λ,ρ]-continuous functions"}

In this paper, we introduce the class of  [λ, ρ] -continuous functions. First, we investigate some relations between the classes of [ λ1, ρ1]  and [λ2,ρ2] ...

On the family of [λ,ρ]-continuous functions

Published Online: Nov 12, 2012

Page range: 129 - 138

DOI: https://doi.org/10.2478/v10127-009-0053-2

Keywords
density of a set at a point, continuous functions, approximately continuous functions, path continuity.

This content is open access.

On the family of [λ,ρ]-continuous functions

Published Online: Nov 12, 2012

Page range: 129 - 138

DOI: https://doi.org/10.2478/v10127-009-0053-2

Keywordsdensity of a set at a point, continuous functions, approximately continuous functions, path continuity.

This content is open access.

Keywords
density of a set at a point, continuous functions, approximately continuous functions, path continuity.