Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means

M. Alomari, Maslina Darus, U. S. Kirmaci

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

In this paper, some inequalities of Hadamard's type for quasi-convex functions are given. Some error estimates for the Trapezoidal formula are obtained. Applications to some special means are considered.

Original languageEnglish
Pages (from-to)225-232
Number of pages8
JournalComputers and Mathematics with Applications
Volume59
Issue number1
DOIs
Publication statusPublished - Jan 2010

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Quasiconvex Functions
Error Estimates
Refinement

Keywords

  • Arithmetic mean
  • Hadamard's inequality
  • Logarithmic mean
  • Quasi-convex function
  • Trapezoidal formula

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Modelling and Simulation
  • Computational Mathematics

Cite this

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