International Journal of Nonlinear Analysis and Applications

Bernstein's polynomials for convex functions and related results

Document Type : Research Paper

Author

Department of Mathematics, Faculty of Mathematical Sciences and Computer Kharazmi University, 50 Taleghani Avenue, Tehran, 15618, Iran.

Abstract

In this paper we establish several polynomials similar to Bernstein's polynomials and several refinements of  Hermite-Hadamard inequality for convex functions.

Keywords

International Journal of Nonlinear Analysis and Applications
Volume 6, Issue 1 - Serial Number 1
January 2015
Pages 23-34
  • Receive Date: 16 April 2013
  • Revise Date: 06 May 2014
  • Accept Date: 23 September 2014
  • First Publish Date: 08 February 2015