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] -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.