WEIGHTED REVERSE FRACTIONAL INEQUALITIES OF MINKOWSKIS AND HOLDERS TYPE

*J. E. RESTREPO, V. L. CHINCHANE, P. AGARWAL (pp. 188-198)*#### Abstract

General weighted fractional integral operator is introduced by means of some weighted classes. This operator reduces to many well known fractional integral operators. Some weighted Minkowskis reverse fractional integral inequalities, weighted Holders reverse fractional integral inequalities and weighted integral inequalities of arithmetic and geometric means are established. At the end, some applications and examples are given.

#### Keywords

weighted integral inequalities, weighted fractional operator, Minkowskis integral inequalities, Holder integral inequalities.