User profiles for Tamás Erdélyi
Tamas ErdelyiProfessor of Mathematics, Texas A&M University Verified email at tamu.edu Cited by 4009 |
[BOOK][B] Polynomials and polynomial inequalities
P Borwein, T Erdélyi - 2012 - books.google.com
Polynomials pervade mathematics, virtually every branch of mathematics from algebraic
number theory and algebraic geometry to applied analysis and computer science, has a corpus …
number theory and algebraic geometry to applied analysis and computer science, has a corpus …
Müntz systems and orthogonal Müntz-Legendre polynomials
P Borwein, T Erdélyi, J Zhang - Transactions of the American Mathematical …, 1994 - ams.org
The Müntz-Legendre polynomials arise by orthogonalizing the Müntz system $\{{x^{{\lambda
_0}}},{x^{{\lambda _1}}},\ldots\} $ with respect to Lebesgue measure on [0, 1]. In this paper, …
_0}}},{x^{{\lambda _1}}},\ldots\} $ with respect to Lebesgue measure on [0, 1]. In this paper, …
Littlewood-type problems on [0, 1]
LITTLEWOOD-TYPE PROBLEMS ON [0,1] Page 1 LITTLEWOOD-TYPE PROBLEMS ON 0;1
PETER BORWEIN, TAMAÂS ERDEÂLYI and GEÂ ZA KOÂ S [Received 19 June 1997ĐRevised …
PETER BORWEIN, TAMAÂS ERDEÂLYI and GEÂ ZA KOÂ S [Received 19 June 1997ĐRevised …
Generalized Jacobi weights, Christoffel functions, and Jacobi polynomials
P Nevai, T Erdélyi, AP Magnus - SIAM Journal on Mathematical Analysis, 1994 - SIAM
The authors obtain upper bounds for Jacobi polynomials which are uniform in all the parameters
involved and which contain explicit constants. This is done by a combination of some …
involved and which contain explicit constants. This is done by a combination of some …
The Full Müntz Theorem in C[0, 1] and L1[0, 1]
P Borwein, T Erdélyi - Journal of the London Mathematical …, 1996 - academic.oup.com
The main result of this paper is the establishment of the ‘full Müntz Theorem’ in C[0, l]. This
characterizes the sequences { λ i } i = 1 ∞ of distinct, positive real numbers for which span{l, x …
characterizes the sequences { λ i } i = 1 ∞ of distinct, positive real numbers for which span{l, x …
Sharp extensions of Bernstein's inequality to rational spaces
P Borwein, T Erdélyi - Mathematika, 1996 - cambridge.org
Sharp extensions of some classical polynomial inequalities of Bernstein are established for
rational function spaces on the unit circle, on K = r (mod 2 π), on [-1, 1 ] and on ℝ. The key …
rational function spaces on the unit circle, on K = r (mod 2 π), on [-1, 1 ] and on ℝ. The key …
Generalizations of Müntz's theorem via a Remez-type inequality for Müntz spaces
P Borwein, T Erdélyi - Journal of the American Mathematical Society, 1997 - ams.org
The principal result of this paper is a Remez-type inequality for Müntz polynomials:\begin {equation*}
p (x):=\sum^{n} _ {i= 0} a_ {i} x^{\lambda _ {i}},\end {equation*} or equivalently for …
p (x):=\sum^{n} _ {i= 0} a_ {i} x^{\lambda _ {i}},\end {equation*} or equivalently for …
Littlewood-type problems on subarcs of the unit circle
P Borwein, T Erdélyi - Indiana University mathematics journal, 1997 - JSTOR
The results of this paper show that many types of polynomials cannot be small on subarcs of
the unit circle in the complex plane. A typical result of the paper is the following. Let ℱn …
the unit circle in the complex plane. A typical result of the paper is the following. Let ℱn …
[PDF][PDF] On the zeros of polynomials with restricted coefficients
P Borwein, T Erdélyi - Illinois J. Math, 1997 - people.tamu.edu
… WITH RESTRICTED COEFFICIENTS Peter Borwein and Tamás Erdélyi 1 … Peter Borwein
and Tamás Erdélyi … Erdélyi, and G. Kós, Littlewood-type problems on [0, 1], manuscript. …
and Tamás Erdélyi … Erdélyi, and G. Kós, Littlewood-type problems on [0, 1], manuscript. …
[PDF][PDF] A simple proof of “Favard's theorem” on the unit circle
T Erdélyi, P Nevai, J Zhang… - Atti Sem. Mat. Fis. Univ …, 1991 - people.tamu.edu
A SIMPLE PROOF OF “FAVARD’S THEOREM” ON THE UNIT CIRCLE Tamás Erdélyi, Paul
Nevai, John Zhang The Ohio State University … Tamás Erdélyi, Paul Nevai, John Zhang …
Nevai, John Zhang The Ohio State University … Tamás Erdélyi, Paul Nevai, John Zhang …