Title of article :
*-Boundedness and *-Continuity of Non-Newtonian Superposition Operators on ℓ∞,α and ℓ1,β
Author/Authors :
Erdoğan ، Fatmanur Department of Mathematics - Institute of Graduate Studies - Ondokuz Mayıs University , Sağır ، Birsen Department of Mathematics - Faculty of Science and Art - Ondokuz Mayıs University
Abstract :
Sa˘gır and Erdo˘gan [13] have defined non-Newtonian superposition operators N Sϕ where ϕ : N × Rα → Rβ by N Sϕ(x) = (ϕ(m, xm))∞ m=1 for all α−sequences (xm). In this study, we get the conditions for the *-boundedness, *-locally boundedness and *-uniform continuity of the non-Newtonian superposition operator N Sϕ : ℓ∞,α → ℓ1,β.
Keywords :
* , Boundedness , * , locally boundedness , * , continuity , * , uniform continuity , non , Newtonian superposition operator , non , Newtonian sequence spaces
Journal title :
Journal of Mathematical Extension(IJME)
Journal title :
Journal of Mathematical Extension(IJME)
