Pregled bibliografske jedinice broj: 843000
Generalizations of Sherman's inequality by Hermite's interpolating polynomial
Generalizations of Sherman's inequality by Hermite's interpolating polynomial // Mathematical inequalities & applications, 19 (2016), 4; 1181-1192 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 843000 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalizations of Sherman's inequality by Hermite's interpolating polynomial
Autori
Adil Khan, Muhammad ; Ivelić Bradanović, Slavica ; Pečarić Josip
Izvornik
Mathematical inequalities & applications (1331-4343) 19
(2016), 4;
1181-1192
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
majorization; n-convexity; Schur-convexity; Sherman's theorem; Hermite's interpolating polynomial; Chebyshev functional; Grüss type inequalities; Ostrowski type inequalities; exponentially convex functions; log-convex functions; means
Sažetak
Generalizations of Sherman's inequality for convex functions of higher order are obtained by applying Hermite's interpolating polynomials. The results for particular cases, namely, Lagrange, (m, n-m) and two-point Taylor interpolating polynomials are also cosidered. The Grüss and Ostrowski type inequalities related to these generalizations are given.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
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
