Bernstein's polynomials for convex functions and related results

Document Type : Research Paper


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


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


  • Receive Date: 16 April 2013
  • Revise Date: 06 May 2014
  • Accept Date: 23 September 2014