n-exponential convexity for Jensen-type inequalities (CROSBI ID 588332)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Khan, Asif R. ; Pečarić, Josip ; Rodić Lipanović, Mirna
engleski
n-exponential convexity for Jensen-type inequalities
Starting from the results given in [J. Pečarić, I. Perić, M. Rodić Lipanović: Uniform treatment of Jensen type inequalities, to appear in Math. Rep. (Bucur.)] where the uniform treatment of the Jensen type inequalities and its converses is given, we investigate the exponential convexity of differences of the left-hand and the right-hand side of these inequalities. Using these differences, we produce new exponentially convex functions. At the end, we give several examples of the families of functions for which the obtained results can be applied, and we get some generalized Cauchy means.
Green function; Jensen inequality; converse of the Jensen inequality; Cauchy-type mean value theorems; n-exponential convexity; means
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Podaci o prilogu
65-65.
2012.
objavljeno
Podaci o matičnoj publikaciji
5th Croatian Mathematical Congress
Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja
Rijeka: Fakultet za matematiku Sveučilišta u Rijeci
978-953-7720-13-1
Podaci o skupu
5th Croatian Mathematical Congress
predavanje
18.06.2012-21.06.2012
Rijeka, Hrvatska