Converse Fractional Opial Inequalities for Several Functions

George A. Anastassiou

Converse Fractional Opial Inequalities for Several Functions

Authors

George A. Anastassiou Department of Mathematical Sciences University of Memphis, Memphis, TN 38152 U.S.A.

Keywords:

Opial type inequality, Fractional derivative

Abstract

A variety of very general L_p(0 < p < 1) form converse Opial type inequalities ([8]) is presented involving generalized fractional derivatives ([3],[6]) of several functions in different orders and powers. From the established results deriven other particular results of special interest.