On new inequalities of Hermite-Hadamard-Fejer type for convex functions via fractional integrals

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Set E., Iscan I., Sarikaya M. Z., ÖZDEMİR M. E.

APPLIED MATHEMATICS AND COMPUTATION, vol.259, pp.875-881, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 259
  • Publication Date: 2015
  • Doi Number: 10.1016/j.amc.2015.03.030
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.875-881
  • Keywords: Convex function, Hermite-Hadamard inequality, Hermite-Hadamard-Fejer inequality, Riemann-Liouville fractional integral, DIFFERENTIABLE MAPPINGS
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper, we establish some weighted fractional inequalities for differentiable mappings whose derivatives in absolute value are convex. These results are connected with the celebrated Hermite-Hadamard-Fejer type integral inequality. The results presented here would provide extensions of those given in earlier works. (C) 2015 Elsevier Inc. All rights reserved.