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Pregled bibliografske jedinice broj: 513399

On exponential convexity, Jensen-Steffensen-Boas Inequality, and Cauchy's means for superquadratic functions


Abramovich, Shoshana; Farid, Ghulam; Ivelić, Slavica; Pečarić, Josip
On exponential convexity, Jensen-Steffensen-Boas Inequality, and Cauchy's means for superquadratic functions // Journal of Mathematical Inequalities, 5 (2011), 2; 169-180 (međunarodna recenzija, članak, znanstveni)


Naslov
On exponential convexity, Jensen-Steffensen-Boas Inequality, and Cauchy's means for superquadratic functions

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

Izvornik
Journal of Mathematical Inequalities (1846-579X) 5 (2011), 2; 169-180

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Jensen-Steffensen inequality; superquadratic functions; Cauchy Means; Monotonicity; exponential convexity; log-convexity

Sažetak
In this paper we define new means of Cauchy's type using some recently obtained results that refine the Jensen-Steffensen-Boas inequality for convex and superquadratic functions. Applying so called exp-convex method we interpret results in the form of exponentially convex or (as a special case) logarithmically convex functions. We also present some related results which generalize results in <cite>AFP</cite>.

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

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka:


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts