A sequence of mappings connected with Hermite- Hadamard’s, Jensen’s, and Levinson’s inequality

The goal of our talk is to consider constructions of mappings connected with Hermite-Hadamard's, Jensen's, and Levinson's inequality, which are expressed in terms of integrals, linear functionals and self-adjoint operators. The starting point for our research are references [1, 2, 3].