Researcher

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Richard Fournier

Department of Mathematics

Scholar in Residence

Dr. Fournier’s current research in Mathematical Analysis is now funded by two grants  (Programme de Recherche pour les enseignants de Collège and a team grant). He is an adjunct professor at Université de Montréal and a member of the Analysis Laboratory of the Centre de Recherches Mathématiques at the same university.  He also serves as an associate editor for two journals,   and the .

Contributions to Dawson’s Community

Richard Fournier is involved in the annual Ä¢¹½ÊÓÆµ Mathematics Competition. He also is a regular contributor to the Dawson Research Journal of Experimental Science.

Publications

  • (with Jason Da Silva Castanheira), “A reversed Cauchy-Schwarz-Bunyakovsky inequalityâ€�, Dawson Research Journal of Experimental Science 11(2016), 26-28.
  • (with St. Ruscheweyh), “Remarks on two inequalities for polynomials in the unit diskâ€�, to appear in Progress in Approximation Theory and Applicable Complex Analysis, Springer-Verlag (2017).
  • (with St. Ruscheweyh), “On two interpolation formulas for complex polynomialsâ€�, to appear in New Trends in Approximation Theory, Springer-Verlag (2017).
  • “On a new proof and an extension of Jack’s lemmaâ€� to appear in Journal of Applied Analysis, De Gruyter (2017).
  • (with H. Barnaby) ,“A Proof of Riemann’s Rearrangement Theorem for Alternating Seriesâ€�, Dawson Research Journal of Experimental Science (2014), 9-10.
  • “A New Class of Inequalities for Polynomialsâ€�, Rocky Mountain J. Math. 44 (2014), 1171-1181.

Talks Given

  • Three polynomial inequalities for the price of one! Winter Meeting of the Canadian Mathematical Society (Niagara Falls), December 2016.
  • On various proofs of Jack’s lemma. Congressio Mathematica, University of Warmia in Olsztyn (Poland), September 2016.
  • On Bernstein and Markov type Inequalities. New Trends in Approximation Theory, Fields Institute (Toronto), July 2016.
  • Fonctions et Inégalités. Ä¢¹½ÊÓÆµ, Camp mathématique de l’AMQ, June 2016.
  • A new proof and an extension of Jack’s lemma. Universitaet Wuerzburg, Analysis Seminar, January 2016.
  • On Jack’s lemma and extremal polynomials, AMS Meeting in Lubbock, Texas Tech University , April 2014.

Last Modified: July 28, 2026