Currently displaying 1 – 3 of 3

Showing per page

Order by Relevance | Title | Year of publication

Approximation of the Stieltjes integral and applications in numerical integration

Pietro Cerone;  Sever Silvestru Dragomir — 2006

Applications of Mathematics

Some inequalities for the Stieltjes integral and applications in numerical integration are given. The Stieltjes integral is approximated by the product of the divided difference of the integrator and the Lebesgue integral of the integrand. Bounds on the approximation error are provided. Applications to the Fourier Sine and Cosine transforms on finite intervals are mentioned as well.

Bound on extended f -divergences for a variety of classes

Pietro Cerone;  Sever Silvestru Dragomir;  Ferdinand Österreicher — 2004

Kybernetika

The concept of f -divergences was introduced by Csiszár in 1963 as measures of the ‘hardness’ of a testing problem depending on a convex real valued function f on the interval [ 0 , ∞ ) . The choice of this parameter f can be adjusted so as to match the needs for specific applications. The definition and some of the most basic properties of f -divergences are given and the class of χ α -divergences is presented. Ostrowski’s inequality and a Trapezoid inequality are utilized in order to prove bounds for an extension...

Page 1

Download Results (CSV)