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Sharp integral inequalities based on general two-point formula via an extension of Montgomery identity (CROSBI ID 139635)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Aglić Aljinović, Andrea ; Pečarić, Josip ; Ribičić Penava, Mihaela
Sharp integral inequalities based on general two-point formula via an extension of Montgomery identity // The ANZIAM journal, 51 (2009), 01; 67-101. doi: 10.1017/S1446181109000315
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Aglić Aljinović, Andrea ; Pečarić, Josip ; Ribičić Penava, Mihaela
engleski
Sharp integral inequalities based on general two-point formula via an extension of Montgomery identity
We consider the families of general two-point quadrature formulae, using the extension of Montgomery identity via Taylor's formula. Obtained formulae are used to present a number of inequalities for functions whose derivatives are from L_p spaces and Bullen type inequalities.
Taylor's formula ; two-point formulae ; Bullen type inequalities
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