Superadditivity of some Jensen-type functionals (CROSBI ID 588383)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
engleski
Superadditivity of some Jensen-type functionals
In 1996. S. S. Dragomir, J. Pečarić and L. E. Persson investigated discrete Jensen’s functional. They proved that, under the assumption of convexity of the involved function, this functional is superadditive and increasing on the set of all nonnegative weighted n-tuples. Motivated by their results, we prove the analogues ones for Jessen’s functional, as well as for McShane’s functional, which is a multidimensional generalization of Jessen’s functional. Consequently, we establish their lower and upper bounds expressed by the non weighted functionals of the same type. Such bounds enable us to obtain converses and refinements of the series of the classical inequalities, such are arithmetic-geometric inequality, Young’s and H¨older’s inequality in the difference and quotient form, as well as some other related inequalities.
superadditivity; Jensen inequality; functional; monotonicity; bounds
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o prilogu
62-62.
2012.
objavljeno
Podaci o matičnoj publikaciji
Book of abstracts - 5th Croatian Mathematical Congress, 18-21 June, 2012, Rijeka, Croatia / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja (ur.). Rijeka: Department of Mathematics, University of Rijeka, 2012.
Podaci o skupu
5th Croatian Mathematical Congress
predavanje
18.06.2012-21.06.2012
Rijeka, Hrvatska