List of my research papers/ list of my research papers available online

Only my papers written in TEX are available online and in pdf form. For other papers or other formats please contact me at terdelyi@math.tamu.edu. The online publications below are NOT necessarily authoritative nor necessarily final versions. They are listed in reverse chronological order of writing.

[105] Erdélyi, T., On the Lq norm of cyclotomic Littlewood polynomials on the unit circle , in preparation.
[104] Erdélyi, T., Large sieve inequalities and the Mahler measure of Fekete polynomials on subarcs , in preparation.
[103] Erdélyi, T., Markov-Nikolskii type inequality for absolutely monotone polynomials of order k , submitted.
[102] Erdélyi, T., Orthogonality and the maximum of Littlewood cosine polynomials , submitted.
[101] Erdélyi, T., George Lorentz and inequalities in approximation , Algebra i Analiz (St. Petersburg Math. J.), to appear.
[100] Erdélyi, T., Extensions of the Bloch-Pólya theorem on the number of distinct real zeros of polynomials, Journal de théorie des nombres de Bordeaux 20 (2008), no. 2, 281--287.
[99] Erdélyi, T., An improvement of the Erdös-Turán theorem on the zero distribution of polynomials, C. R. Acad. Sci. Paris Sér. I Math. 346 (2008), no. 5-6, 267--270.
[98] Erdélyi, T., The Remez inequality for linear combinations of shifted Gaussians, Math. Proc. Cambridge Phil. Soc. , to appear.
[97] Borwein, P., and T. Erdélyi, Lower bounds for the number of zeros of cosine polynomials in the period: a problem of Littlewood, Acta Arith. 128 (2007) no. 4, 377--384.
[96] Erdélyi, T., Newman's inequality for increasing exponential sums, in: Proceedings of the Conference on "Number Theory and Polynomials", held in Bristol, UK, April 3-7, 2006, London Math. Soc. Lecture Notes, Cambridge University Press, J. McKee , Ch. Smyth (Eds.) 2008.
[*] Erdélyi, T., and F. Beaucoup, On the uniqueness of the solution of some polynomial equations , Monthly problem, to appear.
[95] Erdélyi, T., On the denseness of certain function spaces spanned by products , J. Funct. Anal. 238 (2006), 463 - 470.
[94] Borwein, P., T. Erdélyi, R. Ferguson, and R. Lockhart On the zeros of cosine polynomials: solution to an old problem of Littlewood, Ann. Math. (2) 167 (2008), no. 3, 1109--1117.
[93] Borwein, P., and T. Erdélyi Nikolskii-type inequalities for shift invariant function spaces , Proc. Amer. Math. Soc. 134 (2006), 3243 - 3246.
[92] Borwein, P., T. Erdélyi., and F. Littmann Zeros of polynomials with finitely many different coefficients , Trans. Amer. Math. Soc. 360 (2008), no. 10, 5145--5154.
[91] Erdélyi, T., On the derivatives of unimodular polynomials , in: "Topics on the Interface Between Harmonic Analysis and Number Theory", Birkhäuser, Boston, T. Erdélyi, B. Saffari, G. Tenenbaum (Eds.), 2008.
[90] Erdélyi, T., Inequalities for exponential sums via interpolation and Turán-type reverse Markov inequalities , in: "Frontiers in Interpolation and Approximation", dedicated to the memory of Ambikeshwar Sharma, Chapman & Hall/CRC, Taylor & Francis, New York, N.K. Govil, H.N. Mhaskar, Ram Mohapatra, Zuhair Nashed, J. Szabados (Eds.), 2006, 119-144.
[89] Erdélyi, T., Markov-Nikolskii type inequalities for exponential sums on a finite interval , Adv. Math., 208 (2007), no. 1, 135-146.
[88] Erdélyi, T., and D.S. Lubinsky Large sieve inequalities via subharmonic methods and the Mahler measure of Fekete polynomials , Canad. J. Math. 59 (2007), no. 4, 730-741.
[87] Erdélyi, T., Sharp Bernstein-type inequalities for linear combinations of shifted Gaussians , Bull. London Math. Soc. 38 (2006), 124-138.
[86] Erdélyi, T., The full Müntz Theorem revisited , Constr. Approx. 21 (2005), no. 3, 319-335.
[85] Erdélyi, T., The uniform closure of non-dense rational spaces on the unit interval , J. Approx. Theory 131 (2004), no. 2, 149-156.
[84] Benko, D., and T. Erdélyi, Markov inequality for polynomials of degree n with m distinct zeros , J. Approx. Theory 122 (2003), no. 2, 241-248.
[83.1] is followed by [83.2] Friedman, H., The number of certain integral polynomials and nonrecursive sets of integers, Part 2 , Trans. Amer. Math. Soc..
[83.1] Erdélyi, T., and H. Friedman, The number of certain integral polynomials and nonrecursive sets of integers, Part 1 , Trans. Amer. Math. Soc. 357 (2005), no. 3, 999--1011.
[82] Erdélyi, T., Extremal properties of the derivatives of the Newman polynomials , Proc. Amer. Math. Soc. 131 (2003), no. 10, 3129-3134.
[81] Erdélyi, T., The "full Clarkson-Erdös-Schwartz Theorem" on the closure of non-dense Müntz spaces , Studia Math. 155 (2003), no. 2, 145-152.
[80] Benko, D., T. Erdélyi, and J. Szabados, The full Markov-Newman inequality for Müntz polynomials on positive intervals , Proc. Amer. Math. Soc. 131 (2003) no. 8, 2385-2391.
[79] Erdélyi, T., and A. Kroó, Markov-type inequalities on certain irrational arcs and domains , J. Approx. Theory 130 (2004), 113-124.
[78] Borwein, P., and T. Erdélyi, Lower bounds for the merit factors of trigonometric polynomials from Littlewood classes , J. Approx. Theory 125 (2003), no. 2, 190-197.
[77] Erdélyi, T., On the real part of ultraflat sequences of unimodular polynomials , Math. Ann. 326 (2003) no. 3, 489-498.
[76] Erdélyi, T., and J. Szabados, On a generalization of the Bernstein-Markov inequality , Algebra i Analiz 14 (2002), no. 4, 36-53 (translation in St. Petersburg Math. J. (2003), no. 4, 563--576.
[75] Erdélyi, T., Proof of Saffari's near orthogonality conjecture for ultraflat sequences of unimodular polynomials , C. R. Acad. Sci. Paris Sér. I Math. 333 (2001), 623-628.
[74] Erdélyi, T., Extremal properties of polynomials , in A Panorama of Hungarian Mathematics in the XXth Century, János Horváth (Ed.). Springer, New York, 2005, 119-156, ISBN 3-540-28945-3.
[73] Erdélyi, T., Markov and Bernstein type inequality for trigonometric polynomials with respect to doubling weights on [-a,a] , Constr. Approx. 19 (2003) no 3, 329-338.
[72] Erdélyi, T., The norm of the polynomial truncation operator on the unit circle and on [-1,1] , Colloquium Math. 90 (2001), 287-293.
[71] Erdélyi, T., The phase problem of ultraflat unimodular polynomials: the resolution of the conjecture of Saffari , Math. Ann. 321 (2001), 905-924.
[70] Erdélyi, T., The resolution of Saffari's phase problem , C. R. Acad. Sci. Paris Sér. I Math. 331 (2000), 803-808.
[69] Erdélyi, T., Polynomials with Littlewood-type coefficient constraints , Approximation Theory X: Abstract and Classical Analysis, Charles K. Chui, Larry L. Schumaker, and Joachim Stöckler (Eds.), Vanderbilt University Press, Nashville, TN, 2002, 153-196, ISBN 0-8265-1415-4.
[68] Erdélyi, T., How far is an ultraflat sequence of unimodular polynomials from being conjugate-reciprocal? , Michigan Math. J. 49 (2001), 259-264.
[67] Erdélyi, T., and J. Szabados, Bernstein inequalities for polynomials with constrained roots , Acta Sci. Math. (Szeged) 68 (2002), no. 3-4, 937--952, corrected reprint of Acta Sci. Math. (Szeged) 68 (2002), no. 1-2, 163--178.
[66a] Erdélyi, T., Markov-Bernstein type inequalities for polynomials under Erdös-type constraints , Paul Erdös and his Mathematics I, Bolyai Society Mathematical Studies, 11, Gábor Halász, László Lovász, Dezsö Miklós, and Vera T. Sós (Eds.), Springer Verlag, New York, NY, 2002, 219-239, ISBN 3-540-42236-6.
[66b] Erdélyi, T., Markov-Bernstein type inequalities for polynomials under Erdös-type constraints (extended abstract) , Paul Erdös and his Mathematics, July 4-11, 1999, Budapest, Hungary
[65] Erdélyi, T., On the equation a(a+d)(a+2d)(a+3d)=x^2 , Amer. Math. Monthly 107 (2000), 166-169.
[64] Erdélyi, T., and W.B. Johnson, The ``Full Müntz Theorem'' in Lp[0,1] for p \in (0,\infty) , Journal d'Analyse Math. 84 (2001), 145-172.
[63] Erdélyi, T., On the zeros of polynomials with Littlewood-type coefficient constraints , Michigan Math. J. 49 (2001), 97-111.
[62] Borwein, P., and T. Erdélyi, Trigonometric polynomials with many real zeros and a Littlewood-type problem , Proc. Amer. Math. Soc. 129 (2001), 725-730.
[61] Erdélyi, T., A. Kroó, and J. Szabados, Markov-Bernstein type inequalities on compact subsets of R , Anal. Math. 26 (2000), 17-34
[60] Erdélyi, T., Markov- and Bernstein-type inequalities for Müntz polynomials and exponential sums in Lp , J. Approx. Theory 104 (2000), 142-152.
[59] Borwein, P., and T. Erdélyi, Markov-Bernstein type inequalities under Littlewood-type coefficient constraints , Indag. Math. 11(2) (2000), 159-172.
[58] Borwein, P., W. Dykshoorn, T. Erdélyi, and J. Zhang, Orthogonality and irrationality , Its content was incorporated in my book entitled ``Polynomials and Polynomial Inequalities'' written jointly with Peter Borwein.
[57] Erdélyi, T., Markov-type inequalities for products of Müntz polynomials , J. Approx. Theory 112 (2001), 171-188.
[56] Borwein, P., and T. Erdélyi, Remez- and Nikolskii-type ineaqualities for exponential sums , Math. Ann. 300 (2000), 39-60.
[55] Erdélyi, T., Notes on inequalities with doubling weights , J. Approx. Theory 100 (1999), 60-72.
[54] Borwein, P., T. Erdélyi, and G. Kós, Littlewood-type problems on [0,1] , Proc. London Math. Soc. 79 (3) (1999), 22-46.
[53] Erdélyi, T., Markov-type inequalities for constrained polynomials with complex coefficients , Illinois J. Math. 42 (1998), 544-563.
[52] Erdélyi, T., and P. Vértesi, IN MEMORIAM Paul Erdös (1913-1996) , J. Approx. Theory 94(1998), no. 1, 1-41.
[51] Borwein, P., and T. Erdélyi, Müntz's Theorem on compact subsets of positive measure , in Approximation Theory, Govil et al. (Eds.), Marcel Dekker, Inc. (1998), 115-131.
[50] Erdélyi, T., Markov-Bernstein type inequalities for constrained polynomials with real versus complex coefficients , Journal d'Analyse Math. 74 (1998), 165-181.
[49] Borwein, P., and T. Erdélyi, Littlewood-type problems on subarcs of the unit circle , Indiana Univ. Math. J. 46 (1997), 1323-1346
[48] Borwein, P., and T. Erdélyi, Remez-type inequalities for non-dense Müntz spaces with explicit bounds , J. Approx. Theory. 93 (1998), 450-457.
[47] Borwein, P., and T. Erdélyi, On the zeros of polynomials with restricted coefficients , Illinois J. Math. 41 (1997), 667-675.
[46] Borwein, P., and T. Erdélyi, Markov- and Bernstein-type inequalities for polynomials with restricted coefficients , Ramanujan J. 1 (1997), 309-323.
[45] Borwein, P., and T. Erdélyi, Generalizations of Müntz's Theorem via a Remez-type inequality for Müntz spaces , J. Amer. Math. Soc. 10 (1997), 327-329.
[44] Borwein, P., and T. Erdélyi, Sharp extensions of Bernstein's inequality to rational spaces , Mathematika 43 (1996), 413-423.
[43] Erdélyi, T., and P. Nevai, Lower bounds for the derivatives of polynomials and Remez-type inequalities , Trans. Amer. Math. Soc. 349 (1997), 4953-4972.
[42] Borwein, P., and T. Erdélyi, Newman's inequality for Müntz polynomials on positive intervals , J. Approx. Theory 85 (1996), 132-139.
[41] Borwein, P., and T. Erdélyi, Questions about polynomials with {-1,0,1} coefficients , Constr. Approx. 12 (1996), 439-442.
[40] Borwein, P., and T. Erdélyi, A sharp Bernstein-type inequality for exponential sums , J. Reine Angew. Math. 476 (1996), 127-141.
[39] Borwein, P., and T. Erdélyi, The full Müntz Theorem in C[0,1] and L1[0,1] , J. London Math. Soc. 54 (1996), 102-110.
[38] Borwein, P., and T. Erdélyi, The integer Chebyshev problem , Math. Comp. 65 (1996), 661-681
[37] Borwein, P., and T. Erdélyi, The Lp version of Newman's inequality for Müntz polynomials , Proc. Amer. Math. Soc. 124 (1996), 101-109.
[36] Borwein, P., and T. Erdélyi, Upper bounds for the derivative of exponential sums , Proc. Amer. Math. Soc. 123 (1995), 1481-1486.
[35] Borwein, P., and T. Erdélyi, Dense Markov spaces and unbounded Bernstein inequalities , J. Approx. Theory 81 (1995), 66-77.
[34] Borwein, P., and T. Erdélyi, Müntz spaces and Remez inequalities , Bull. Amer. Math. Soc. 32 (1995), 38-42.
[33] Erdélyi, T., A. Magnus, and P. Nevai, Generalized Jacobi weights, Christoffel functions and Jacobi polynomials , SIAM J. Math. Anal. 25 (1994), 602-614.
[32] Borwein, P., T., Erdélyi, and J. Zhang, Chebyshev polynomials and Bernstein-Markov type inequalities for rational spaces , J. London Math. Soc. 50 (1994), 501-519.
[31] Borwein, P., T. Erdélyi, and J. Zhang, Müntz systems and orthogonal Müntz-Legendre polynomials , Trans. Amer. Math. Soc. 342 (1994), 523-542.
[30] Borwein, P., and T. Erdélyi, Bernstein type inequalities on subsets of [-1,1] and [-\pi,\pi] , Acta Math. Hungar., 65 (1994), 189-194.
[29] Borwein, P., and T. Erdélyi, Markov and Bernstein type inequalities in Lp for classes of polynomials with constraints , J. London Math. Soc. 51 (1995), 573-588.
[28] Borwein, P., and T. Erdélyi, Markov-Bernstein type inequalities for classes of polynomials with restricted zeros , Constr. Approx., 10 (1994), 411-425.
[27] Erdélyi, T., J. Geronimo, P. Nevai, and J. Zhang, A simple proof of ``Favard's Theorem'' on the unit circle , in: Proc. Int'l Conf. on Functional Analysis and Approximation Theory, Atti Sem. Mat. Fis. Univ. Modena, XXXIX, 1991, 551-556.
[26] Erdélyi, T., X. Li, and E.B. Saff, Remez and Nikolskii type inequalities for logarithmic potentials, SIAM J. Math. Anal. 25 (1994), 365-383.
[25] Borwein, P., and T. Erdélyi, Lacunary Müntz systems, J. Edinburgh Math. Soc. 47 (1993), 361-374.
[24] Erdélyi, T., Remez-type inequalities and their applications, J. Comput. Appl. Math. 47 (1993), 167-210.
[23] Borwein, P., and T. Erdélyi, Remez, Nikolskii, and Markov type inequalities for generalized nonnegative polynomials with restricted zeros, Constr. Approx. 8 (1992), 343-362.
[22] Erdélyi, T., and P. Nevai, Generalized Jacobi weights, Christoffel functions and zeros of orthogonal polynomialsi, J. Approx. Theory 68 (1992), 111-132.
[21] Erdélyi, T., Weighted Markov and Bernstein type inequalities for generalized non-negative polynomials, J. Approx. Theory 68 (1992), 283-305.
[20] Erdélyi, T., A Máté, and P. Nevai, Inequalities for generalized nonnegative polynomials, Constr. Approx. 8 (1992), 241-255.
[19] Erdélyi, T., Remez-type inequalities on the size of generalized polynomials, J. London Math. Soc. 45 (1992), 255-264.
[18] Erdélyi, T., Estimates for the Lorentz degree of polynomials, J. Approx. Theory, 67 (1991), 187-198.
[17] Erdélyi, T., Bernstein-type inequality for the derivative of constrained polynomials, Proc. Amer. Math. Soc. 112 (1991), 829-838.
[16] Borwein, P., and T. Erdélyi, Notes on lacunary Müntz polynomials, Israel J. Math. 76 (1991), 183-192.
[15] Erdélyi, T., Bernstein and Markov type theorems for generalized nonnegative polynomials, Canad. J. Math. 43 (1991), 1-11.
[14] Erdélyi, T., Nikolskii-type inequalities for generalized polynomials and zeros of orthogonal polynomials, J. Approx. Theory 67 (1991), 80-92.
[13] Erdélyi, T., A sharp Remez inequality on the size of constrained polynomials, J. Approx. Theory 63 (1990), 335-337.
[12] Erdélyi, T., Markov and Bernstein type inequalities for certain classes of constrained trigonometric polynomials on an interval shorter than the period, Studia Sci. Math. Hungar. 25 (1990), 3-25.
[11] Erdélyi, T., A Markov-type inequality for the derivatives of constrained polynomials, J. Approx. Theory 63 (1990), 321-334.
[10] Erdélyi, T., Weighted Markov-type estimates for the derivatives of constrained polynomials on [0, \infty), J. Approx. Theory 58 (1989), 213-231.
[9] Erdélyi, T., Markov-type estimates for certain classes of constrained polynomials, Constr. Approx. 5 (1989), 347-356.
[8] Erdélyi, T., and J. Szabados, On trigonometric polynomials with positive coefficients, Studia Sci. Math. Hungar. 24 (1989), 71-91.
[7] Erdélyi, T., and J. Szabados, Bernstein-type inequalities for a class of polynomials, Acta Math. Hungar. 52 (1989), 237-251.
[6] Erdélyi, T., Markov-type estimates for the derivatives of constrained polynomials, Approx. Theory Appl. 4 (1988), 23-33.
[5] Erdélyi, T., and J. Szabados On polynomials with positive coefficients, J. Approx. Theory, 54 (1988), 107-122.
[4] Erdélyi, T., Markov-type estimates for derivatives of polynomials of special type, Acta Math. Hungar. 51 (1988), 421-436
[3] Erdélyi, T., Pointwise estimates for the derivatives of a polynomial with real zeros, Acta Math. Hungar. 49 (1987), 219-235.
[2] Erdélyi, T., The Remez inequality on the size of polynomials, in: Approximation Theory VI, Vol. I (College Station, TX, 1989), C.K. Chui, L.L. Schumaker, and J.D. Ward (Eds.), Academic Press, Boston, MA, 1989, 243-246.
[1] Erdélyi, T., Pointwise estimates for derivatives of polynomials with restricted zeros, in: Haar Memorial Conference, J. Szabados and K. Tandori, Eds., North-Holland, Amsterdam, 1987, 329-343.