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Generalizations of Sherman's inequality by Hermite's interpolating polynomial


Adil Khan, Muhammad; Ivelić Bradanović, Slavica; Pečarić Josip
Generalizations of Sherman's inequality by Hermite's interpolating polynomial // Mathematical inequalities & applications, 19 (2016), 4; 1181-1192 (međunarodna recenzija, članak, znanstveni)


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


Projekt / tema
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (Josip Pečarić, )

Ustanove
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb

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