Birsen Sağır

Nonlinear Maligranda-Type and Dunkl-Williams Inequalities in Generalized Norm and Modular Structures

In this paper, we introduce a class of generalized nonlinear norm-like functionals obtained by adding an increasing nonlinear perturbation to a norm. The principal example is N(x)=‖x‖+‖x‖^2, which is positive, definite, continuous, but non-homogeneous and hence is not a norm. We...