Pregled bibliografske jedinice broj: 820980
Popoviciu type inequalities via Green function and Taylor polynomial
Popoviciu type inequalities via Green function and Taylor polynomial // Turkish Journal of Mathematics, 40 (2016), 333-349 doi:10.3906/mat-1501-38 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 820980 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Popoviciu type inequalities via Green function and Taylor polynomial
Autori
Butt, Saad Ihsan ; Khan, Khuram Ali ; Pečarić, Josip
Izvornik
Turkish Journal of Mathematics (1300-0098) 40
(2016);
333-349
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Popoviciu inequality; Taylor formula; Green function; Čebyšev functional; Grüss inequality; Ostrowski inequality; exponential convexity; Cauchy mean
Sažetak
The well-known Taylor polynomial is used to construct the identities coming from Popoviciu type inequalities for convex functions via the Green function. The bounds for the new identities are found using the Čebyšev functional to develop the Grüss and Ostrowski type inequalities. Further, more exponential convexity together with Cauchy means is presented for linear functionals associated with the obtained inequalities.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb
Profili:
Josip Pečarić
(autor)
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
- Zentrallblatt für Mathematik/Mathematical Abstracts
