@article{article_954104, title={ON *-BOUNDEDNESS AND *-LOCAL BOUNDEDNESS OF NON-NEWTONIAN SUPERPOSITION OPERATORS IN c_(0,α) AND c_α TO l_(1,β)}, journal={Journal of Universal Mathematics}, volume={4}, pages={241–251}, year={2021}, DOI={10.33773/jum.954104}, author={Erdogan, Fatmanur and Sağır Duyar, Birsen}, keywords={*-Boundedness, *-local boundedness, non-Newtonian superposition operator, non-Newtonian sequence spaces.}, abstract={Many investigations have been made about of Non-Newtonian calculus and superposition operators until today. Non-Newtonian superposition operator was defined by Sağır and Erdoğan in [9]. In this study, we have defined *- boundedness and *-locally boundedness of operator. We have proved that the non-Newtonian superposition operator $_{N}P_{f}:c_{_{0,\alpha }\rightarrow \ell _{1,\beta }$ is *-locally bounded if and only if f satisfies the condition (NA₂′). Then we have shown that the necessary and sufficient conditions for the *-boundedness of $% _{N}P_{f}:c_{_{0,\alpha }\rightarrow \ell _{1,\beta }$ . Finally, the similar results have been also obtained for $_{N}P_{f}:c_{\alpha }\rightarrow \ell _{1,\beta }$ .}, number={2}, publisher={Gökhan ÇUVALCIOĞLU}