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Pregled bibliografske jedinice broj: 855861

Levinson’s type generalization of the Jensen inequality and its converse for real Stieltjes measure


Mikić, Rozarija; Pečarić, Josip; Rodić, Mirna
Levinson’s type generalization of the Jensen inequality and its converse for real Stieltjes measure // Journal of inequalities and applications, (2017), 1; 4-1 doi:10.1186/s13660-016-1274-y (međunarodna recenzija, članak, znanstveni)


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Naslov
Levinson’s type generalization of the Jensen inequality and its converse for real Stieltjes measure

Autori
Mikić, Rozarija ; Pečarić, Josip ; Rodić, Mirna

Izvornik
Journal of inequalities and applications (1029-242X) (2017), 1; 4-1

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

Ključne riječi
Jensen’s inequality ; converse Jensen’s inequality ; Hermite-Hadamard’s inequality ; Giaccardi’s inequality ; Levinson’s inequality ; Green function ; mean-value theorems

Sažetak
We derive the Levinson type generalization of the Jensen and the converse Jensen inequality for real Stieltjes measure, not necessarily positive. As a consequence, also the Levinson type generalization of the Hermite-Hadamard inequality is obtained. Similarly, we derive the Levinson type generalization of Giaccardi’s inequality. The obtained results are then applied for establishing new mean-value theorems. The results from this paper represent a generalization of several recent results.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip, HRZZ - IP-2013-11) ( POIROT)

Ustanove:
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Mirna Rodić (autor)

Avatar Url Rozarija Mikić (autor)

Avatar Url Josip Pečarić (autor)

Poveznice na cjeloviti tekst rada:

doi www.journalofinequalitiesandapplications.com

Citiraj ovu publikaciju:

Mikić, Rozarija; Pečarić, Josip; Rodić, Mirna
Levinson’s type generalization of the Jensen inequality and its converse for real Stieltjes measure // Journal of inequalities and applications, (2017), 1; 4-1 doi:10.1186/s13660-016-1274-y (međunarodna recenzija, članak, znanstveni)
Mikić, R., Pečarić, J. & Rodić, M. (2017) Levinson’s type generalization of the Jensen inequality and its converse for real Stieltjes measure. Journal of inequalities and applications, (1), 4-1 doi:10.1186/s13660-016-1274-y.
@article{article, year = {2017}, pages = {4-1-4-}, DOI = {10.1186/s13660-016-1274-y}, keywords = {Jensen’s inequality, converse Jensen’s inequality, Hermite-Hadamard’s inequality, Giaccardi’s inequality, Levinson’s inequality, Green function, mean-value theorems}, journal = {Journal of inequalities and applications}, doi = {10.1186/s13660-016-1274-y}, number = {1}, issn = {1029-242X}, title = {Levinson’s type generalization of the Jensen inequality and its converse for real Stieltjes measure}, keyword = {Jensen’s inequality, converse Jensen’s inequality, Hermite-Hadamard’s inequality, Giaccardi’s inequality, Levinson’s inequality, Green function, mean-value theorems} }
@article{article, year = {2017}, pages = {4-1-4-}, DOI = {10.1186/s13660-016-1274-y}, keywords = {Jensen’s inequality, converse Jensen’s inequality, Hermite-Hadamard’s inequality, Giaccardi’s inequality, Levinson’s inequality, Green function, mean-value theorems}, journal = {Journal of inequalities and applications}, doi = {10.1186/s13660-016-1274-y}, number = {1}, issn = {1029-242X}, title = {Levinson’s type generalization of the Jensen inequality and its converse for real Stieltjes measure}, keyword = {Jensen’s inequality, converse Jensen’s inequality, Hermite-Hadamard’s inequality, Giaccardi’s inequality, Levinson’s inequality, Green function, mean-value theorems} }

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


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