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

Authors

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

DOI:

https://doi.org/10.21914/anziamj.v51i0.2243

Keywords:

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

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

Published

2010-02-13

Issue

Section

Articles for Printed Issues