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Refinement of Inequalities Related to Convexity via Superquadracity, Weaksuperquadracity and Superterzacity


Abramovich, Shoshana; Ivelić, Slavica; Pečarić; Josip
Refinement of Inequalities Related to Convexity via Superquadracity, Weaksuperquadracity and Superterzacity // Inequalities and Applications 2010 / Bandle, Catherine ; Gilányi, Attila ; Losonczi, László ; Plum, Michael (ur.).
Basel: Springer Basel (Birkhäuser Verlag AG), 2012. str. 191-207


Naslov
Refinement of Inequalities Related to Convexity via Superquadracity, Weaksuperquadracity and Superterzacity

Autori
Abramovich, Shoshana ; Ivelić, Slavica ; Pečarić ; Josip

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni

Knjiga
Inequalities and Applications 2010

Urednik/ci
Bandle, Catherine ; Gilányi, Attila ; Losonczi, László ; Plum, Michael

Izdavač
Springer Basel (Birkhäuser Verlag AG)

Grad
Basel

Godina
2012

Raspon stranica
191-207

ISBN
978-3-0348-0249-9

Ključne riječi
Superquadracity, Weaksuperquadracity, Superterzacity, Convexity, Jensen inequality, Jensen-Steffensen inequality

Sažetak
This paper is about inequalities satisfied by functions called superterzatic and their relations to convex and to superquadratic functions. In analogy to inequalities satisfied by convex and by superquadratic functions that are reduced to equalities when f(x)=x, f(x)=x^2, x≥0 respectively, the inequalities satisfied by superterzatic functions reduce to equalities when f(x)=x^3, x≥0.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Građevinarstvo



POVEZANOST RADA


Projekt / tema
083-0831529-1528 - Pronos zagađenja u podzemlju i procjena rizika kao posljedica odlaganja otpada (Roko Andričević, )
117-1170889-0888 - Generalne nejednakosti i primjene (Josip Pečarić, )

Ustanove
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb