engleski

Generalizations and refinements of Opial type inequalities

This talk deals with Opial inequality and its famous generalizations, extensions and refinements, i.e. with Opial-type inequalities. The Opial inequality has been generalized and extended in several directions. We obtain general Opial-type inequalities for measurable functions and for the quotient of functions. Application to numerous symmetric functions gives results that involve Green’s functions, Lidstone’s series and Hermite’s interpolating polynomials.

Opial inequality, Green function, Jensen inequality, Lidstone polynomial, Hermite interpolating polynomial

nije evidentirano