Pregled bibliografske jedinice broj: 795243
Schur-convexity and quadrature formulae
Schur-convexity and quadrature formulae // Mathematische Nachrichten, 288 (2015), 17/18; 2016-2027 doi:10.1002/mana.201400227 (međunarodna recenzija, članak, znanstveni)
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Naslov
Schur-convexity and quadrature formulae
Autori
Franjić, Iva
Izvornik
Mathematische Nachrichten (0025-584X) 288
(2015), 17/18;
2016-2027
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
General quadrature formulae; error; Schur-convexity; n-convex functions; Bernoulli polynomials
Sažetak
This paper aims to contribute to the exploration of quadrature formulae by proving that the error of a quadrature formula has the Schur-convexity property. The emphasis is on the quadrature formulae with the maximum degree of precision. The Schur-convexity of the error has an interesting implication – the monotonicity of the error. Namely, it turns out that the absolute value of the error is always smaller on a smaller interval (of the two which share the same midpoint).
Izvorni jezik
Engleski
Znanstvena područja
Matematika
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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
