A new extension of the weighted Montgomery identity is given, by using Taylor's formula and used to obtain some Ostrowski type inequalities and estimations of the difference of two integral means.where the weighted Peano kernel is

We present Montgomery identity for Riemann-Liouville fractional integral as well as for fractional integral of a functionfwith respect to another functiong. We further use them to obtain Ostrowski type inequalities involving functions whose first derivatives belong toLpspaces. These inequalities are generally sharp in casep>1and the best possible in casep=1. Application for Hadamard fractional integrals is given.

A new extension of the weighted Montgomery identity is given, by using Taylor's formula, and used to obtain some Ostrowski type inequalities and the estimations of the difference of two integral means.

We consider families of general two-point quadrature formulae, using the extension of Montgomery's identity via Taylor's formula. The formulae obtained are used to present a number of inequalities for functions whose derivatives are from L p spaces and Bullentype inequalities.2000 Mathematics subject classification: primary 26D15; secondary 26D20, 41A55.

The new extension of the weighted Montgomery identity is given by using Fink identity and is used to obtain some Ostrowski-type inequalities and estimations of the difference of two integral means.