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Error bounds for weighted 2-point and 3-point Radau and Lobatto quadrature rules for functions of bounded variation


Aglić Aljinović, Andrea; Kovač, Sanja; Pečarić, Josip
Error bounds for weighted 2-point and 3-point Radau and Lobatto quadrature rules for functions of bounded variation // Mathematical and computer modelling, 54 (2011), 5/6; 1365-1379 doi:10.1016/j.mcm.2011.04.006 (međunarodna recenzija, članak, znanstveni)


Naslov
Error bounds for weighted 2-point and 3-point Radau and Lobatto quadrature rules for functions of bounded variation

Autori
Aglić Aljinović, Andrea ; Kovač, Sanja ; Pečarić, Josip

Izvornik
Mathematical and computer modelling (0895-7177) 54 (2011), 5/6; 1365-1379

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
2-point and 3-point Radau and Lobatto quadrature formulae; Montgomery identity

Sažetak
We present a weighted generalization of Montgomery identity for Riemann-Stieltjes integral and use it to obtain weighted generalization of a recently obtained inequality, as well as weighted 2-point and 3-point quadrature formulae of closed and semi-closed type for functions of bounded variation.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Neven Elezović, )
117-1170889-0888 - Generalne nejednakosti i primjene (Josip Pečarić, )
160-0372794-2813 - Harmonijska analiza na realnoj poluprostoj Liejevoj algebri (Mladen Božičević, )

Ustanove
Fakultet elektrotehnike i računarstva, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb,
Geotehnički fakultet, Varaždin

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


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