This work addresses several novel classes of convex function involving arbitrary non-negative function, which is known as approximately generalized (ψ,ℏ)-convex and approximately ψ-quasiconvex function, with respect to Raina’s function, which are elaborated in Hilbert space. To ensure the feasibility of the proposed concept and with the discussion of special cases, it is presented that these classes generate other classes of generalized (ψ,ℏ)-convex functions such as higher-order strongly (HOS) generalized (ψ,ℏ)-convex functions and HOS...
