Pregled bibliografske jedinice broj: 918370
Positivity of sums for n-convex functions via Taylor's formula and Green function
Positivity of sums for n-convex functions via Taylor's formula and Green function // Advanced Studies in Contemporary Mathematics, 27 (2017), 4; 515-537 doi:10.17777/ascm2017.27.4.515 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 918370 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Positivity of sums for n-convex functions via Taylor's formula and Green function
Autori
Khan, Asif R. ; Pečarić, Josip ; Praljak, Marjan ; Varošanec, Sanja
Izvornik
Advanced Studies in Contemporary Mathematics (1229-3067) 27
(2017), 4;
515-537
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Green function ; Log-convexity ; N-convex function ; N-convex function at a point ; Taylor formula
Sažetak
Conditions under which the inequality ∑ im=1 pif (xi) ≥ 0 holds for every n-convex function f are considered. We are using two approaches: one by the Taylor formula and other using the Green function. Integral analogues and some related results for n-convex functions at a point are also given, as well as bounds for the integral remainders which occur in identities associated with the obtained inequalities.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
