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Pregled bibliografske jedinice broj: 444647

On Some Improvements of the Jensen Inequality with Some Applications


Adil Khan, M.; Anwar, Matloob; Jakšetić, Julije; Pečarić, Josip
On Some Improvements of the Jensen Inequality with Some Applications // Journal of inequalities and applications, 2009 (2009), 323615, 15 doi:10.1155/2009/323615 (međunarodna recenzija, članak, znanstveni)


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Naslov
On Some Improvements of the Jensen Inequality with Some Applications

Autori
Adil Khan, M. ; Anwar, Matloob ; Jakšetić, Julije ; Pečarić, Josip

Izvornik
Journal of inequalities and applications (1025-5834) 2009 (2009); 323615, 15

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

Ključne riječi
convex function ; Jensen’s inequality ; log-convexity ; divergencemeasure ; Cauchy means
(convex function ; Jensen’s inequality ; log-convexity ; divergencemeasure ; Cauchy mean)

Sažetak
An improvement of the Jensen inequality for convex and monotone function is given as well as various applications for mean. Similar results for related inequalities of the Jensen type are also obtained. Also some applications of the Cauchy mean and the Jensen inequality are discussed.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
MZOS-117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)

Ustanove:
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Avatar Url Julije Jakšetić (autor)

Avatar Url Josip Pečarić (autor)

Citiraj ovu publikaciju:

Adil Khan, M.; Anwar, Matloob; Jakšetić, Julije; Pečarić, Josip
On Some Improvements of the Jensen Inequality with Some Applications // Journal of inequalities and applications, 2009 (2009), 323615, 15 doi:10.1155/2009/323615 (međunarodna recenzija, članak, znanstveni)
Adil Khan, M., Anwar, M., Jakšetić, J. & Pečarić, J. (2009) On Some Improvements of the Jensen Inequality with Some Applications. Journal of inequalities and applications, 2009, 323615, 15 doi:10.1155/2009/323615.
@article{article, author = {Adil Khan, M. and Anwar, Matloob and Jak\v{s}eti\'{c}, Julije and Pe\v{c}ari\'{c}, Josip}, year = {2009}, pages = {15}, DOI = {10.1155/2009/323615}, chapter = {323615}, keywords = {convex function, Jensen’s inequality, log-convexity, divergencemeasure, Cauchy means}, journal = {Journal of inequalities and applications}, doi = {10.1155/2009/323615}, volume = {2009}, issn = {1025-5834}, title = {On Some Improvements of the Jensen Inequality with Some Applications}, keyword = {convex function, Jensen’s inequality, log-convexity, divergencemeasure, Cauchy means}, chapternumber = {323615} }
@article{article, author = {Adil Khan, M. and Anwar, Matloob and Jak\v{s}eti\'{c}, Julije and Pe\v{c}ari\'{c}, Josip}, year = {2009}, pages = {15}, DOI = {10.1155/2009/323615}, chapter = {323615}, keywords = {convex function, Jensen’s inequality, log-convexity, divergencemeasure, Cauchy mean}, journal = {Journal of inequalities and applications}, doi = {10.1155/2009/323615}, volume = {2009}, issn = {1025-5834}, title = {On Some Improvements of the Jensen Inequality with Some Applications}, keyword = {convex function, Jensen’s inequality, log-convexity, divergencemeasure, Cauchy mean}, chapternumber = {323615} }

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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