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Pregled bibliografske jedinice broj: 713395

Reverses of the Jensen-type inequalities for signed measures


Jakšić, Rozarija; Pečarić, Josip; Rodić Lipanović, Mirna
Reverses of the Jensen-type inequalities for signed measures // Abstract and applied analysis, (2014), 626359-1 doi:10.1155/2014/626359 (međunarodna recenzija, članak, znanstveni)


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Naslov
Reverses of the Jensen-type inequalities for signed measures

Autori
Jakšić, Rozarija ; Pečarić, Josip ; Rodić Lipanović, Mirna

Izvornik
Abstract and applied analysis (1085-3375) (2014); 626359-1

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

Ključne riječi
Green function; Jensen inequality; converse of the Jensen inequality; mean value theorems; n-exponential convexity; exponential convexity; log-convexity; means

Sažetak
In this paper we derive refinements of the Jensen-type inequalities in the case of real Stieltjes measure, not necessarily positive, which are generalizations of Jensen's inequality and it's reverses for positive measures. Furthermore, we investigate the exponential and logarithmic convexity of the difference between the left-hand and the right-hand side of these inequalities and give several examples of the families of functions for which the obtained results can be applied. The outcome is a new class of Cauchy-type means.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Ustanove:
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Mirna Rodić (autor)

Avatar Url Josip Pečarić (autor)

Avatar Url Rozarija Mikić (autor)

Poveznice na cjeloviti tekst rada:

doi dx.doi.org www.hindawi.com

Citiraj ovu publikaciju:

Jakšić, Rozarija; Pečarić, Josip; Rodić Lipanović, Mirna
Reverses of the Jensen-type inequalities for signed measures // Abstract and applied analysis, (2014), 626359-1 doi:10.1155/2014/626359 (međunarodna recenzija, članak, znanstveni)
Jakšić, R., Pečarić, J. & Rodić Lipanović, M. (2014) Reverses of the Jensen-type inequalities for signed measures. Abstract and applied analysis,, 626359-1 doi:10.1155/2014/626359.
@article{article, year = {2014}, pages = {626359-1-626359-11}, DOI = {10.1155/2014/626359}, keywords = {Green function, Jensen inequality, converse of the Jensen inequality, mean value theorems, n-exponential convexity, exponential convexity, log-convexity, means}, journal = {Abstract and applied analysis}, doi = {10.1155/2014/626359}, issn = {1085-3375}, title = {Reverses of the Jensen-type inequalities for signed measures}, keyword = {Green function, Jensen inequality, converse of the Jensen inequality, mean value theorems, n-exponential convexity, exponential convexity, log-convexity, means} }
@article{article, year = {2014}, pages = {626359-1-626359-11}, DOI = {10.1155/2014/626359}, keywords = {Green function, Jensen inequality, converse of the Jensen inequality, mean value theorems, n-exponential convexity, exponential convexity, log-convexity, means}, journal = {Abstract and applied analysis}, doi = {10.1155/2014/626359}, issn = {1085-3375}, title = {Reverses of the Jensen-type inequalities for signed measures}, keyword = {Green function, Jensen inequality, converse of the Jensen inequality, mean value theorems, n-exponential convexity, exponential convexity, log-convexity, means} }

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::


  • Computer and Information Systems Abstracts
  • INSPEC
  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts


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