Naslov
Generalizations and refinements of Hardy's inequality

Autori
Krulić, Kristina

Vrsta, podvrsta i kategorija rada
Ocjenski radovi, doktorska disertacija

Fakultet
Prirodoslovno-matematički fakultet - Matematički odjel

Mjesto
Zagreb

Datum
28.05

Godina
2010

Stranica
123

Mentor
Pečarić, Josip

Neposredni voditelj
Persson, Lars-Erik

Ključne riječi
The Hardy inequality; he Hilbert inequality; Inequalities; Hardy type inequalities; convex function; kernel; The Hardy operator with general kernel

Sažetak
In this thesis an integral operator with general non-negative kernel on measure spaces with positive measure is considered and some new weighted Hardy type inequalities for convex functions and refinements of weighted Hardy type inequalities for superquadratic functions have been obtained. Moreover, some refinements of weighted Hardy type inequalities for convex functions and some new refinements of discrete Hardy type inequalities are given. Furthermore, improvements and reverses of new weighted Hardy type inequalities with integral operators are stated and proved. New Cauchy type mean is introduced and monotonicity property of this mean is proved.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA