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Pregled bibliografske jedinice broj: 677084

On average values of convex functions


Pečarić, Josip; Perić, Ivan; Roqia, Ghulam
On average values of convex functions // Aequationes mathematicae, 86 (2013), 1/2; 137-154 doi:10.1007/s00010-012-0181-7 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 677084 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
On average values of convex functions

Autori
Pečarić, Josip ; Perić, Ivan ; Roqia, Ghulam

Izvornik
Aequationes mathematicae (0001-9054) 86 (2013), 1/2; 137-154

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

Ključne riječi
Jensen's inequality; log-convex function; exponential convexity.

Sažetak
The aim of this paper is to give an extension of an inequality proved in [13, Lemma 2.5] and de ne Stolarsky type means as an application of this inequality. Further, we discuss some properties of averages of a continuous convex function, some consequences of double inequality given in [13, Theorem 3.3] and obtain improvements of [13, Corollary 4.3].

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)

Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Ivan Perić (autor)

Avatar Url Josip Pečarić (autor)

Poveznice na cjeloviti tekst rada:

doi link.springer.com

Citiraj ovu publikaciju:

Pečarić, Josip; Perić, Ivan; Roqia, Ghulam
On average values of convex functions // Aequationes mathematicae, 86 (2013), 1/2; 137-154 doi:10.1007/s00010-012-0181-7 (međunarodna recenzija, članak, znanstveni)
Pečarić, J., Perić, I. & Roqia, G. (2013) On average values of convex functions. Aequationes mathematicae, 86 (1/2), 137-154 doi:10.1007/s00010-012-0181-7.
@article{article, author = {Pe\v{c}ari\'{c}, Josip and Peri\'{c}, Ivan and Roqia, Ghulam}, year = {2013}, pages = {137-154}, DOI = {10.1007/s00010-012-0181-7}, keywords = {Jensen's inequality, log-convex function, exponential convexity.}, journal = {Aequationes mathematicae}, doi = {10.1007/s00010-012-0181-7}, volume = {86}, number = {1/2}, issn = {0001-9054}, title = {On average values of convex functions}, keyword = {Jensen's inequality, log-convex function, exponential convexity.} }
@article{article, author = {Pe\v{c}ari\'{c}, Josip and Peri\'{c}, Ivan and Roqia, Ghulam}, year = {2013}, pages = {137-154}, DOI = {10.1007/s00010-012-0181-7}, keywords = {Jensen's inequality, log-convex function, exponential convexity.}, journal = {Aequationes mathematicae}, doi = {10.1007/s00010-012-0181-7}, volume = {86}, number = {1/2}, issn = {0001-9054}, title = {On average values of convex functions}, keyword = {Jensen's inequality, log-convex function, exponential convexity.} }

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


Citati:





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