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Pregled bibliografske jedinice broj: 473827

A(x)−convex functions and their inequalities


Krulić, Kristina; Pečarić, Josip; Smoljak, Ksenija
a(x)−convex functions and their inequalities // Bulletin of the Malaysian Mathematical Sciences Society, 35 (2012), 3; 695-716 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 473827 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
A(x)−convex functions and their inequalities

Autori
Krulić, Kristina ; Pečarić, Josip ; Smoljak, Ksenija

Izvornik
Bulletin of the Malaysian Mathematical Sciences Society (0126-6705) 35 (2012), 3; 695-716

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

Ključne riječi
a(x)−convex function; convex functions; the Jensen inequaliy; the Hermite-Hadamard inequality

Sažetak
In this paper a(x)−convex functions are defined and Jensen, Hermite-Hadamard, Lah-Ribaric and other inequalities for them are derived. Related analogous of the Lagrange and the Cauchy mean value theorems are also obtained and means of the Cauchy type are generated.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


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

Ustanove:
Tekstilno-tehnološki fakultet, Zagreb

Poveznice na cjeloviti tekst rada:

Pristup cjelovitom tekstu rada

Citiraj ovu publikaciju:

Krulić, Kristina; Pečarić, Josip; Smoljak, Ksenija
a(x)−convex functions and their inequalities // Bulletin of the Malaysian Mathematical Sciences Society, 35 (2012), 3; 695-716 (međunarodna recenzija, članak, znanstveni)
Krulić, K., Pečarić, J. & Smoljak, K. (2012) a(x)−convex functions and their inequalities. Bulletin of the Malaysian Mathematical Sciences Society, 35 (3), 695-716.
@article{article, author = {Kruli\'{c}, Kristina and Pe\v{c}ari\'{c}, Josip and Smoljak, Ksenija}, year = {2012}, pages = {695-716}, keywords = {a(x)−convex function, convex functions, the Jensen inequaliy, the Hermite-Hadamard inequality}, journal = {Bulletin of the Malaysian Mathematical Sciences Society}, volume = {35}, number = {3}, issn = {0126-6705}, title = {a(x)−convex functions and their inequalities}, keyword = {a(x)−convex function, convex functions, the Jensen inequaliy, the Hermite-Hadamard inequality} }
@article{article, author = {Kruli\'{c}, Kristina and Pe\v{c}ari\'{c}, Josip and Smoljak, Ksenija}, year = {2012}, pages = {695-716}, keywords = {a(x)−convex function, convex functions, the Jensen inequaliy, the Hermite-Hadamard inequality}, journal = {Bulletin of the Malaysian Mathematical Sciences Society}, volume = {35}, number = {3}, issn = {0126-6705}, title = {a(x)−convex functions and their inequalities}, keyword = {a(x)−convex function, convex functions, the Jensen inequaliy, the Hermite-Hadamard inequality} }

Časopis indeksira:


  • 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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