Characterizations of inner product spaces by strongly convex functions

Stability of a generalization of the Fréchet functional equation

“…For more information we refer to [1,10,21,22,23]. Theorem 1 yields the subsequent characterization of inner product spaces (see [2,Corollary 5…”

On some Hermite-Hadamard type inequalities for strongly s-convex functions

“…For more information and recent developments on inequalities for srongly convex function, please refer to ( [1], [6], [7], [8], [12], [14], [16], [17]). …”

Phase retrieval problems in x-ray physics

“…Moreover, one can show (see [58]) that h is strongly (mid)convex with modulus γ > 0 if and only if the function h − γ · 2 Z is (mid)convex. Therefore the Hilbert norm monomial h 2,Z (x) = Corollary 4.1.3.…”