New inequalities of hermite-hadamard type for convex functions with applications

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Kavurmaci H., Avci M., Ozdemir M. E.

JOURNAL OF INEQUALITIES AND APPLICATIONS, vol.2011, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2011
  • Publication Date: 2011
  • Doi Number: 10.1186/1029-242x-2011-86
  • Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Convex function, Hermite-Hadamard inequality, Holder inequality, Power-mean inequality, Special means, Trapezoidal formula, DIFFERENTIABLE MAPPINGS
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper, some new inequalities of the Hermite-Hadamard type for functions whose modulus of the derivatives are convex and applications for special means are given. Finally, some error estimates for the trapezoidal formula are obtained.