Dr. Natacha Fontes-Merz, Westminster assistant professor of mathematics, had two of her articles published.

"A Multidimensional Verison of Turán's Lemma" was published in the Journal of Approximation Therory.

"This article provides a multidimensional version of Nazarov's extension of Turán's lemma- a result in which the uniform norm of a complex valued polynomial, p, on the unit circle is compared with the uniform norm of p on any measurable subset of the unit circle," Fontes-Merz said.

"The Norm of an Interpolation Operator on H(D)" was co-authored with Dr. Alfred Cavaretta, professor of mathematics at Kent State University, and published in Frontiers in Interpolation and Approximation, a book dedicated to the mathematician Dr. Ambikeshwar Sharma.

"In this paper we describe our attempts at calculating the norm of an operator defined on the space of analytic and bounded functions on the unit disk," Fontes-Merz said. "This operator is a generalization of an operator considered by Cavaretta and Sharma in their article "Optimal Recovery of Interpolation Operators in Hardy Spaces," which appeared in Advances in Computational Mathematics.

Fontes-Merz, who has been with Westminster College since 2004, earned her undergraduate degree from Oberlin College, and master's and Ph.D. from Kent State University.

Contact Fontes-Merz at (724) 946-7290 or e-mail fontesnc@westminster.edu for more information.

Dr. Natacha Fontes-Merz