Some new refinements of strengthened Hardy and Polya-Knopp's inequalities (CROSBI ID 141491)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Čižmešija, Aleksandra ; Hussain, Sabir ; Pečarić, Josip
engleski
Some new refinements of strengthened Hardy and Polya-Knopp's inequalities
We prove a new general one-dimensional inequality for convex functions and Hardy-Littlewood averages. Furthermore, we apply this result to unify and refine the so-called Boas's inequality and the strengthened inequalities of the Hardy-nopp-type, deriving their new refinements as special cases of the obtained general relation. In particular, we get new refinements of strengthened versions of the well-known Hardy and Polya-Knopp's inequalities.
Integral inequalities ; Boas's inequality ; Hardy-Littlewood average ; Hardy's inequality ; Polya-Knopp's inequality ; weights ; power weights ; convex functions
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
Povezanost rada
Matematika