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Pregled bibliografske jedinice broj: 288130

Companion inequalities to Jensen's inequality for m-convex and (alpha, m)-convex functions

Klaričić Bakula, Milica; Pečarić, Josip; Ribičić, Mihaela
Companion inequalities to Jensen's inequality for m-convex and (alpha, m)-convex functions // Journal of Inequalities in Pure and Applied Mathematics, 7 (2006), 5; 1-32 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 288130 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Companion inequalities to Jensen's inequality for m-convex and (alpha, m)-convex functions

Autori
Klaričić Bakula, Milica ; Pečarić, Josip ; Ribičić, Mihaela

Izvornik
Journal of Inequalities in Pure and Applied Mathematics (1443-5756) 7 (2006), 5; 1-32

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

Ključne riječi
m-convex functions; (alpha; m)-convex functions; Jensen's inequality; Slater's inequality; Hermite-Hadamard's inequalities; Giaccardi's inequality; Fejér's inequalities

Sažetak
General companion inequalities related to Jensen's inequality for the classes of m-convex and (alpha, m)-convex functions are presented. We show how Jensen's inequality for these two classes, as well as Slater's inequality, can be obtained from these general companion inequalities as special cases. We also present several variants of the converse Jensen's inequality, weighted Hermit-Hadamard's inequalities and inequalities of Giaccardi and Petrović for these two classes of functions.

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)
235-2352818-1034 - Nelinearni problemi procjene parametara u matematičkim modelima (Jukić, Dragan, MZOS ) ( CroRIS)

Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split,
Sveučilište u Osijeku, Odjel za matematiku

Profili:

Avatar Url Josip Pečarić (autor)

Avatar Url Milica Klaričić-Bakula (autor)

Avatar Url Mihaela Ribičić Penava (autor)

jipam.vu.edu.au

Citiraj ovu publikaciju:

Klaričić Bakula, Milica; Pečarić, Josip; Ribičić, Mihaela
Companion inequalities to Jensen's inequality for m-convex and (alpha, m)-convex functions // Journal of Inequalities in Pure and Applied Mathematics, 7 (2006), 5; 1-32 (međunarodna recenzija, članak, znanstveni)
Klaričić Bakula, M., Pečarić, J. & Ribičić, M. (2006) Companion inequalities to Jensen's inequality for m-convex and (alpha, m)-convex functions. Journal of Inequalities in Pure and Applied Mathematics, 7 (5), 1-32.
@article{article, author = {Klari\v{c}i\'{c} Bakula, Milica and Pe\v{c}ari\'{c}, Josip and Ribi\v{c}i\'{c}, Mihaela}, year = {2006}, pages = {1-32}, keywords = {m-convex functions, (alpha, m)-convex functions, Jensen's inequality, Slater's inequality, Hermite-Hadamard's inequalities, Giaccardi's inequality, Fej\'{e}r's inequalities}, journal = {Journal of Inequalities in Pure and Applied Mathematics}, volume = {7}, number = {5}, issn = {1443-5756}, title = {Companion inequalities to Jensen's inequality for m-convex and (alpha, m)-convex functions}, keyword = {m-convex functions, (alpha, m)-convex functions, Jensen's inequality, Slater's inequality, Hermite-Hadamard's inequalities, Giaccardi's inequality, Fej\'{e}r's inequalities} }
@article{article, author = {Klari\v{c}i\'{c} Bakula, Milica and Pe\v{c}ari\'{c}, Josip and Ribi\v{c}i\'{c}, Mihaela}, year = {2006}, pages = {1-32}, keywords = {m-convex functions, (alpha, m)-convex functions, Jensen's inequality, Slater's inequality, Hermite-Hadamard's inequalities, Giaccardi's inequality, Fej\'{e}r's inequalities}, journal = {Journal of Inequalities in Pure and Applied Mathematics}, volume = {7}, number = {5}, issn = {1443-5756}, title = {Companion inequalities to Jensen's inequality for m-convex and (alpha, m)-convex functions}, keyword = {m-convex functions, (alpha, m)-convex functions, Jensen's inequality, Slater's inequality, Hermite-Hadamard's inequalities, Giaccardi's inequality, Fej\'{e}r's inequalities} }

Časopis indeksira:


  • Scopus

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  • Mathematical Reviews

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