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Error bounds for weighted twopoint open and semi-open quadrature rules (CROSBI ID 588166)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Aglić Aljinović, Andrea ; Kovač, Sanja ; Pečarić, Josip Error bounds for weighted twopoint open and semi-open quadrature rules // Book of Abstracts, 5th Croatian Mathematical Congress / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja (ur.). Rijeka, 2012. str. 60-60

Podaci o odgovornosti

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

engleski

Error bounds for weighted twopoint open and semi-open quadrature rules

We use recently obtained generalization of weighted Montgomery identity to obtain new sharp weighted generalization of Ostrowski type inequality for functions whose derivatives belong to $L_p$ spaces. We use these results to obtain error bounds for the weighted two-point quadrature formulae of open and semi-open type. In particular, we apply all the results with some well-known weight functions. As special cases, the quadrature formulae of Radau and Gauss type and related inequalities are obtained.

Montgomery identity; weighted 2-point rule; weight function; Radau rule; Gauss rule; open quadrature; semi-open quadrature

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Podaci o prilogu

60-60.

2012.

objavljeno

Podaci o matičnoj publikaciji

Book of Abstracts, 5th Croatian Mathematical Congress

Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja

Rijeka:

Podaci o skupu

5th Croatian Mathematical Congress

predavanje

18.06.2012-21.06.2012

Rijeka, Hrvatska

Povezanost rada

Matematika