Pregled bibliografske jedinice broj: 957795
The Ostrowski Type Inequalities with the application to the three point integral formula
The Ostrowski Type Inequalities with the application to the three point integral formula // Mathematical inequalities & applications, 22 (2019), 2; 401-420 doi:dx..org/10.7153/mia-2019-22-29 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 957795 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
The Ostrowski Type Inequalities with the application to the three point integral formula
Autori
Kovač, Sanja ; Pečarić, Josip ; Tipurić-Spužević, Sanja
Izvornik
Mathematical inequalities & applications (1331-4343) 22
(2019), 2;
401-420
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
sequences of harmonic polynomials, numerical integration, $L_p$ spaces, inequalities, Gaussian quadrature, Simpson's rule, dual Simpson's rule, Maclaurin's rule
Sažetak
The generalization of the integral formula with three nodes is introduced, and some sharp and the best possible inequalities for the functions whose higher order derivatives belong to $L_p$ spaces are given. We establish non-weighted version of the three point integral formula. From the general non-weighted formula we shall get the famous Simpson, dual Simpson and Maclaurin formulae. Some new errors of approximation in these integral formulae are obtained.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
--IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Kemijsko-tehnološki fakultet, Split,
Geotehnički fakultet, Varaždin
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
