ON *-BOUNDEDNESS AND *-LOCAL BOUNDEDNESS OF NON-NEWTONIAN SUPERPOSITION OPERATORS IN c_(0,?) AND c_? TO l_(1,?)

Many investigations have been made about of Non-Newtonian calculus and superposition operators until today. operator was defined by Sa??r Erdo?an in [9]. In this study, we *- boundedness *-locally operator. We proved that the non-Newtonian $_{N}P_{f}:c_{_{0,\alpha }}\rightarrow \ell _{1,\beta }$ is bounded if only f satisfies condition (NA??). Then shown necessary sufficient conditions for *-boundedness $% _{N}P_{f}:c_{_{0,\alpha . Finally, similar results also obtained $_{N}P_{f}:c_{\alpha }\rightarrow