Sharp integral inequalities based on general two-point formulae vai an extension of Montgomery's identity
Aljinovic, A Aglic ; Pecaric, J. ; Penava, M. Ribicic
ANZIAM Journal, Tome 51 (2010), / Harvested from Australian Mathematical Society
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We consider families of general two-point quadrature formulae, using the extension of Montgomery’s identity via Taylor’s formula. The formulae obtained are used to present a number of inequalities for functions whose derivatives are from Lp spaces and Bullen-type inequalities. doi:10.1017/S1446181109000315

Publié le : 2010-01-01
DOI : https://doi.org/10.21914/anziamj.v51i0.2243 
@article{2243,
     title = {Sharp integral inequalities based on general two-point formulae vai an extension of Montgomery's identity},
     journal = {ANZIAM Journal},
     volume = {51},
     year = {2010},
     doi = {10.21914/anziamj.v51i0.2243},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/2243}
}

Aljinovic, A Aglic; Pecaric, J.; Penava, M. Ribicic. Sharp integral inequalities based on general two-point formulae vai an extension of Montgomery's identity. ANZIAM Journal, Tome 51 (2010) . doi : 10.21914/anziamj.v51i0.2243. http://gdmltest.u-ga.fr/item/2243/