Pregled bibliografske jedinice broj: 607571
Hermite-Hadamard type inequalities for higher order convex functions and various quadrature rules
Hermite-Hadamard type inequalities for higher order convex functions and various quadrature rules // Acta mathematica Vietnamica, 37 (2012), 1; 109-120 (međunarodna recenzija, članak, znanstveni)
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Naslov
Hermite-Hadamard type inequalities for higher order convex functions and various quadrature rules
Autori
Franjić, Iva ; Pečarić, Josip
Izvornik
Acta mathematica Vietnamica (0251-4184) 37
(2012), 1;
109-120
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hermite-Hadamard type inequalities; higher order convex functions; Newton-Cotes; Gauss and Lobatto quadrature rules; Bernoulli polynomials
Sažetak
Hermite-Hadamard type inequalities are given for the higher order convex functions and the general three, four and five point quadrature rules, as well as for their corrected counterparts. Specifically, Hermite-Hadamard type estimates are obtained for various classical quadrature rules, such as the Simpson, dual Simpson, Simpson 3/8, Maclaurin, the Gauss 2 and 3-point, the Lobatto 4 and 5-point rule, and their corrected variants.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
058-1170889-1050 - Ocjene za funkcionale na prostorima funkcija (Perić, Ivan, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
