Sharp integral inequalities based on general two-point formulae vai an extension of Montgomery's identity

A Aglic Aljinovic, J. Pecaric, M. Ribicic Penava

Abstract


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

Keywords


Taylor’s formula, Montgomery’s identity, two-point formulae, Bullen-type inequalities



DOI: http://dx.doi.org/10.21914/anziamj.v51i0.2243



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.