engleski

A new general Opial type inequality

In this talk we give a general Opial type inequality. Our result contains two functions, convex and concave function. We prove a new general inequality on a measure space. The obtained inequalities are not direct generalizations of the Opial inequality but they are of Opial type because integrals contain function and its integral representation. We apply our result to numerous symmetric functions and obtain new results that involve Green's functions, Lidstone series and the Hermite interpolating polynomials.

Opial inequality ; convex function ; Green function ; Lidstone series ; Hermite interpolating polynomial

nije evidentirano