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On the Jensen-Steffensen inequality for generalized convex functions


Klaričić Bakula, Milica; Matković, Anita; Pečarić, Josip
On the Jensen-Steffensen inequality for generalized convex functions // Periodica mathematica Hungarica, 55 (2007), 1; 19-34 doi:10.1007/s10998-007-3019-x (međunarodna recenzija, članak, znanstveni)


Naslov
On the Jensen-Steffensen inequality for generalized convex functions

Autori
Klaričić Bakula, Milica ; Matković, Anita ; Pečarić, Josip

Izvornik
Periodica mathematica Hungarica (0031-5303) 55 (2007), 1; 19-34

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

Ključne riječi
P-convex functions; functions with nondecreasing increments; Jensen-Steffensen inequality; Čebyšev's inequality; Hölder's inequality; generalized quasi-arithmetic means.

Sažetak
Jensen-Steffensen type inequalities for P-convex functions and functions with nondecreasing increments are presented. The obtained results are used to prove a generalization of Čebyšev's inequality and several variants of Hölder's inequality with weights satisfying the conditions as in the Jensen-Steffensen inequality. A few well known inequalities for quasi-arithmetic means are generalized.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
117-1170889-0888 - Generalne nejednakosti i primjene (Josip Pečarić, )
177-1170889-1287 - Konveksne funkcije i primjene (Marko Matić, )

Ustanove
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split

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:


  • Mathematical Reviews


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