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
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