Pregled bibliografske jedinice broj: 1133665
Positivity of Sums and Integrals for n-Convex Functions via Abel-Gontscharoff’s Interpolating Polynomial and Green Functions
Positivity of Sums and Integrals for n-Convex Functions via Abel-Gontscharoff’s Interpolating Polynomial and Green Functions // Southeast Asian bulletin of mathematics, 45 (2021), 2; 197-216 (međunarodna recenzija, članak, znanstveni)
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Naslov
Positivity of Sums and Integrals for n-Convex
Functions via Abel-Gontscharoff’s Interpolating
Polynomial and Green Functions
(Positivity of Sums and Integrals for n-Convex
Functions
via Abel-Gontscharoff’s Interpolating
Polynomial
and Green Functions)
Autori
Khan, Asif R. ; Pečarić, Josip E. ; Praljak, Marjan ; Varošanec, Sanja
Izvornik
Southeast Asian bulletin of mathematics (0129-2021) 45
(2021), 2;
197-216
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
n-convex functions ; Abel-Gontscharoff’s interpolating polynomial ; Green function ; Čebyšev functional
Sažetak
We consider positivity of sum $\sum_ {; ; ; ; ; i=1}; ; ; ; ; ^n p_if(x_i)$ involving convex functions of higher order. Analogous for integral $\int_a^b p(x)f(g(x))dx$ is also given. Representation of a function f via the Abel-Gontscharoff’s Interpolating Polynomial and Green functions leads us to identities for which we obtain conditions for positivity of the mentioned sum and integral. We obtain bound for integral remainders which occur in those identities as well as corresponding mean value theorem
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prehrambeno-biotehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Poveznice na cjeloviti tekst rada:
www.seams-bull-math.ynu.edu.cn www.seams-bull-math.ynu.edu.cn www.seams-bull-math.ynu.edu.cnCitiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
