Pregled bibliografske jedinice broj: 1144509
Fejer type inequalities for higher order convex functions and quadrature formulae
Fejer type inequalities for higher order convex functions and quadrature formulae // Aequationes mathematicae, 96 (2022), 417-430 doi:10.1007/s00010-021-00825-7 (međunarodna recenzija, članak, znanstveni)
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Naslov
Fejer type inequalities for higher order convex
functions and quadrature formulae
Autori
Barić, Josipa ; Kvesić, Ljiljanka ; Pečarić, Josip ; Ribičić Penava, Mihaela
Izvornik
Aequationes mathematicae (0001-9054) 96
(2022);
417-430
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hermite-Hadamard inequalitiesFejer inequalitiesHigher order convex functionsQuadrature formulae
Sažetak
The aim of this paper is to obtain Fejer type inequalities for higher-order convex functions and the general weighted integral formula involving w- harmonic sequences of functions. Also, Fejer type inequalities are obtained for the general three, four, and five-point quadrature formulae. Further, Fejer type inequalities for the corrected three corrected four and corrected five-point quadrature formulae are considered. In special cases, Fejer type estimates for Simpson, Maclaurin, corrected Simpson, and corrected Maclaurin quadrature rules are derived.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
Sveučilište u Osijeku, Odjel za matematiku
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
