Pregled bibliografske jedinice broj: 1100815
On Levinson's inequality involving averages of 3- convex functions
On Levinson's inequality involving averages of 3- convex functions // Applicable Analysis and Discrete Mathematics, 14 (2020), 3; 670-684 doi:10.2298/aadm190221045v (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1100815 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On Levinson's inequality involving averages of 3-
convex functions
Autori
Vukelić, Ana
Izvornik
Applicable Analysis and Discrete Mathematics (1452-8630) 14
(2020), 3;
670-684
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Levinson’s inequality ; divided difference ; n-convex function ; (n, m)-convex function ; mean
Sažetak
By using the Levinson inequality we give the extension for 3-convex functions of Wulbert’s result from Favard’s Inequality on Average Values of Convex Functions, Math. Comput. Model. 37 (2003), 1383–1391. Also, we obtain inequalities with divided differences, and as a consequence, the convexity of higher order for function defined by divided difference is proved. Further, we construct a new family of exponentially convex functions and Cauchy-type means by looking at linear functionals associated with these new inequalities.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
