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Pregled bibliografske jedinice broj: 493254

Exponential convexity and Jensen inequality for divided differences


Pavić, Zlatko; Pečarić, Josip; Vukelić, Ana
Exponential convexity and Jensen inequality for divided differences // Journal of Mathematical Ineqialities, 5 (2011), 2; 157-168 doi:10.7153/jmi-05-14 (međunarodna recenzija, članak, znanstveni)


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Naslov
Exponential convexity and Jensen inequality for divided differences

Autori
Pavić, Zlatko ; Pečarić, Josip ; Vukelić, Ana

Izvornik
Journal of Mathematical Ineqialities (1846-579X) 5 (2011), 2; 157-168

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

Ključne riječi
Jensen inequality; divided differences; n-convex function; Schur convex function; log-convexity; exponentially convex function; majorization; continuous extensions; Schur means

Sažetak
In this paper we obtain means which involve divided differences for n-convex functions. We examine their monotonicity property using exponentially convex functions.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


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

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

Profili:

Avatar Url Ana Vukelić (autor)

Avatar Url Zlatko Pavić (autor)

Avatar Url Josip Pečarić (autor)

Poveznice na cjeloviti tekst rada:

doi jmi.ele-math.com files.ele-math.com dx.doi.org

Citiraj ovu publikaciju:

Pavić, Zlatko; Pečarić, Josip; Vukelić, Ana
Exponential convexity and Jensen inequality for divided differences // Journal of Mathematical Ineqialities, 5 (2011), 2; 157-168 doi:10.7153/jmi-05-14 (međunarodna recenzija, članak, znanstveni)
Pavić, Z., Pečarić, J. & Vukelić, A. (2011) Exponential convexity and Jensen inequality for divided differences. Journal of Mathematical Ineqialities, 5 (2), 157-168 doi:10.7153/jmi-05-14.
@article{article, author = {Pavi\'{c}, Zlatko and Pe\v{c}ari\'{c}, Josip and Vukeli\'{c}, Ana}, year = {2011}, pages = {157-168}, DOI = {10.7153/jmi-05-14}, keywords = {Jensen inequality, divided differences, n-convex function, Schur convex function, log-convexity, exponentially convex function, majorization, continuous extensions, Schur means}, journal = {Journal of Mathematical Ineqialities}, doi = {10.7153/jmi-05-14}, volume = {5}, number = {2}, issn = {1846-579X}, title = {Exponential convexity and Jensen inequality for divided differences}, keyword = {Jensen inequality, divided differences, n-convex function, Schur convex function, log-convexity, exponentially convex function, majorization, continuous extensions, Schur means} }
@article{article, author = {Pavi\'{c}, Zlatko and Pe\v{c}ari\'{c}, Josip and Vukeli\'{c}, Ana}, year = {2011}, pages = {157-168}, DOI = {10.7153/jmi-05-14}, keywords = {Jensen inequality, divided differences, n-convex function, Schur convex function, log-convexity, exponentially convex function, majorization, continuous extensions, Schur means}, journal = {Journal of Mathematical Ineqialities}, doi = {10.7153/jmi-05-14}, volume = {5}, number = {2}, issn = {1846-579X}, title = {Exponential convexity and Jensen inequality for divided differences}, keyword = {Jensen inequality, divided differences, n-convex function, Schur convex function, log-convexity, exponentially convex function, majorization, continuous extensions, Schur 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


Citati:





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