ON GENERALIZED SOME INEQUALITIES FOR CONVEX FUNCTIONS

Authors

  • Samet Erden Bartın University - Department of Mathematics
  • Mehmet Zeki Sarikaya D¨uzce University - Department of Mathematics

Keywords:

Hermite-Hadamard-Fej´er inequality, Trapezoid inequality, convex function, H¨older inequality

Abstract

In this paper, a general integral identity for differentiable mapping is derived.  Then, we extend some estimates of the right hand and left hand side of a Hermite-Hadamard-Fej´er type inequality for functions whose first derivatives absolute values are convex.  Some applications for special means of real numbers are also provided.  The results presented here would provide extensions of those given in earlier works.

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Published

2017-07-31

How to Cite

Erden, S., & Sarikaya, M. Z. (2017). ON GENERALIZED SOME INEQUALITIES FOR CONVEX FUNCTIONS. Italian Journal of Pure and Applied Mathematics, 37, 455–468. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6787

Issue

Section

Articoli - Forum Editrice

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