The a posteriori error evaluation based on differential approximation of a finitedifference scheme and adjoint equations is addressed. The differential approximation is composed of primal equations and a local truncation error determined by a Taylor series in Lagrange form. This approach provides the feasibility of both refining the solution and using the Holder inequality for asymptotic boundi...

In this paper, we present some refinements of a generalized Hölder’s inequality, which is due to Vasić and Pečarić. Mathematics subject classification (2010): Primary 26D15; Secondary 26D10.