An Ostrowski type integral inequality for convex functions and applications
for quadrature rules and integral means are given. A refinement and a
counterpart result for Hermite-Hadamard inequalities are obtained and some
inequalities for pdf's and (HH)-divergence measure are also mentioned

Dragomir, Sever Silvestru

arXiv.org e-Print Archive

CiteSeerX

Victoria University Eprints Repository

English

A generalisation of Lin divergence and the derivation of a new information divergence,

A new inequality of Ostrowski’s type in L1−norm and applications to some special means and to some numerical quadrature rules,

A new inequality of Ostrowski’s type in Lp−norm and applications to some special means and to some numerical quadrature rules,

A weighted version of Ostrowski inequality for mappings of H¨ older type and applications in numerical analysis,

Applications of Ostrowski’s inequality to the estimation of error bounds for some special means and some numerical quadrature rules,

Bounds on the deviation of a function from its averages,

Information-type measures of diﬀerence of probability distributions and indirect observations,

Midpoint type rules from an inequalities point of view,

On the Ostrowski’s inequality for mappings of bounded variation and applications,

Ostrowski’s inequality for monotonous mappings and applications,

The Ostrowski’s integral inequality for Lipschitzian mappings and applications,

Uber die Absolutabweichung einer diﬀerentienbaren Funktionen von ihren

An Ostrowski Type Inequality for Convex Functions