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Pregled bibliografske jedinice broj: 491728

On inequalities complementary to Jensen's inequality


Klaričić Bakula, Milica; Matić, Marko; Pečarić, Josip
On inequalities complementary to Jensen's inequality // Matematički bilten, 32 (2008), 17-27 (podatak o recenziji nije dostupan, članak, znanstveni)


CROSBI ID: 491728 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
On inequalities complementary to Jensen's inequality

Autori
Klaričić Bakula, Milica ; Matić, Marko ; Pečarić, Josip

Izvornik
Matematički bilten (0351-336X) 32 (2008); 17-27

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

Ključne riječi
convex functions; Jensen's inequality; complementary inequalities

Sažetak
In this paper we give generalizations of two complementary inequalities proved by Pečarić and Mesihović. We also show that a generalization of Niculescu's inequality obtained by M. Dincă, S. Rădulescu and M. Bencze is a simple consequence of an older theorem proved by Pečarić and Mesihović. We give an example which shows that a conjecture stated by M. Dincă, S. Rădulescu and M. Bencze is incorrect.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
177-1170889-1287 - Konveksne funkcije i primjene (Matić, Marko, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)

Ustanove:
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split


Citiraj ovu publikaciju:

Klaričić Bakula, Milica; Matić, Marko; Pečarić, Josip
On inequalities complementary to Jensen's inequality // Matematički bilten, 32 (2008), 17-27 (podatak o recenziji nije dostupan, članak, znanstveni)
Klaričić Bakula, M., Matić, M. & Pečarić, J. (2008) On inequalities complementary to Jensen's inequality. Matematički bilten, 32, 17-27.
@article{article, author = {Klari\v{c}i\'{c} Bakula, Milica and Mati\'{c}, Marko and Pe\v{c}ari\'{c}, Josip}, year = {2008}, pages = {17-27}, keywords = {convex functions, Jensen's inequality, complementary inequalities}, journal = {Matemati\v{c}ki bilten}, volume = {32}, issn = {0351-336X}, title = {On inequalities complementary to Jensen's inequality}, keyword = {convex functions, Jensen's inequality, complementary inequalities} }
@article{article, author = {Klari\v{c}i\'{c} Bakula, Milica and Mati\'{c}, Marko and Pe\v{c}ari\'{c}, Josip}, year = {2008}, pages = {17-27}, keywords = {convex functions, Jensen's inequality, complementary inequalities}, journal = {Matemati\v{c}ki bilten}, volume = {32}, issn = {0351-336X}, title = {On inequalities complementary to Jensen's inequality}, keyword = {convex functions, Jensen's inequality, complementary inequalities} }

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