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Pregled bibliografske jedinice broj: 631758

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, 2012. str. 191-207


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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

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


Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
083-0831529-1528 - Pronos zagađenja u podzemlju i procjena rizika kao posljedica odlaganja otpada (Andričević, Roko, MZO ) ( CroRIS)

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

Profili:

Avatar Url Slavica Ivelic (autor)

Avatar Url Josip Pečarić (autor)

Citiraj ovu publikaciju:

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, 2012. str. 191-207
Abramovich, S., Ivelić, S., Pečarić & Josip (2012) Refinement of Inequalities Related to Convexity via Superquadracity, Weaksuperquadracity and Superterzacity. U: Bandle, C., Gilányi, A., Losonczi, L. & Plum, M. (ur.) Inequalities and Applications 2010. Basel, Springer, str. 191-207.
@inbook{inbook, author = {Abramovich, Shoshana and Iveli\'{c}, Slavica}, year = {2012}, pages = {191-207}, keywords = {Superquadracity, Weaksuperquadracity, Superterzacity, Convexity, Jensen inequality, Jensen-Steffensen inequality}, isbn = {978-3-0348-0249-9}, title = {Refinement of Inequalities Related to Convexity via Superquadracity, Weaksuperquadracity and Superterzacity}, keyword = {Superquadracity, Weaksuperquadracity, Superterzacity, Convexity, Jensen inequality, Jensen-Steffensen inequality}, publisher = {Springer}, publisherplace = {Basel} }
@inbook{inbook, author = {Abramovich, Shoshana and Iveli\'{c}, Slavica}, year = {2012}, pages = {191-207}, keywords = {Superquadracity, Weaksuperquadracity, Superterzacity, Convexity, Jensen inequality, Jensen-Steffensen inequality}, isbn = {978-3-0348-0249-9}, title = {Refinement of Inequalities Related to Convexity via Superquadracity, Weaksuperquadracity and Superterzacity}, keyword = {Superquadracity, Weaksuperquadracity, Superterzacity, Convexity, Jensen inequality, Jensen-Steffensen inequality}, publisher = {Springer}, publisherplace = {Basel} }




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