• Corpus ID: 119165421

A problem of I. Ra\c{s}a on Bernstein polynomials and convex functions

@article{Abel2016APO,
  title={A problem of I. Ra\c\{s\}a on Bernstein polynomials and convex functions},
  author={Ulrich Abel},
  journal={arXiv: Classical Analysis and ODEs},
  year={2016}
}
  • U. Abel
  • Published 27 August 2016
  • Mathematics
  • arXiv: Classical Analysis and ODEs
We present an elementary proof of a conjecture by I. Rasa which is an inequality involving Bernstein basis polynomials and convex functions. It was affirmed in positive very recently by the use of stochastic convex orderings. Moreover, we derive the corresponding results for Mirakyan-Favard-Szasz operators and Baskakov operators. 

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