ERC supported publications
Research monograph
Polynomial Approximation on Polytopes, Memoirs
of the American Mathematical Society, 212(2014), 112 pp.
Research Papers
V. Totik, Polynomials with zeros and small norm on curves, Proc. Amer Math. Soc.,
140(2012), 3531-3539.
B. Nagy and V. Totik, Bernstein's inequality for algebraic polynomials on circular arcs,
Constructive Approx., 37(2013), 223-232.
V. Totik, The size of irregular points for a measure, Acta Math. Hungar., 136(2012),
222-231.
V. Totik, Fast decreasing and orthogonal polynomials, Contemporary Mathematics, 578(2012), 241-254.
V. Totik and T. Varga, Nonsymmetric fast decreasing polynomials and
applications, J. Math. Anal. Appl., 394(2012), 378-390.
V. Totik, Bernstein type inequalities, J. Approx. Theory, 164(2012), 1390-1401.
V. Totik, Chebyshev polynomials on compact sets, Potential Analysis,
40(2014), 511-524.
V. Totik, Erdős on polynomials, Erdős Centennial, Bolyai Society Mathematical Studies,
25(2013), 683-709.
T. Varga, Uniform spacing of zeros of orthogonal polynomials for locally doubling measures, Analysis (München), 33(2013), 1-12.
T. Varga, Christoffel functions for doubling measures on quasismooth curves
and arcs, Acta Math. Hungar., 141(2013), 161-184.
V. Totik, Approximation by homogeneous polynomials, Journal of Approx. Theory,
174(2013), 192–205.
E. Lundberg and V. Totik, Lemniscate growth, Analysis and Mathematical Physics, 3(2013), 45-62.
V. Totik, A note on rational L^p approximation on Jordan curves, Computational
Methods and Function Theory, 13(2013), 425–431.
V. Totik and T. Varga, A sharp L^p-Bernstein inequality on finitely many intervals,
Acta Sci. Math. 79(2013), 401-421.
S.I. Kalmykov and D.B. Karp, Logarithmic concavity of series in gamma ratios, Russ Math., 58(2014), 63-68.
S.I. Kalmykov, On polynomials and rational functions normalized on circular arcs, Journal of Mathematical Sciences
200(2014), 577–585. (Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 418, 2013, pp. 105–120).
V. Totik, Asymptotics of Christoffel functions on arcs and curves, Advances
in Mathematics, 252(2014), 114-149.
V. Totik and P. Yudistkii, A conjecture of Widom, Journal of Approximation Theory,
190(2015), 50-61.
L. Feng, V. Totik and S. Zhou, Trigonometric series with a generalized monotonicity condition,
Acta Mathematica Sinica, English Series, 30(2014), 1289-1296.
B. Nagy, S.I. Kalmykov and V. Totik, Asymptotically sharp Markov and Schur inequalities on general sets, Complex Analysis and Operator Theory 9(2015), 1287-1302.
V. Totik, Polynomials with zeros on systems of curves,
Acta Sci. Math. (Szeged), 81(2015), 151-175.
V. Totik, The tale of a formula,
Contemporary Mathematics, Contemporary Mathematics, 601(2016), 29-40.
T. Danka, Christoffel functions on Jordan curves with respect to
measures with jump singularity,
Jaen J. Math., 7(2015), 263-289.
B. Nagy, S.I. Kalmykov, Polynomial and rational inequalities on analytic Jordan
arcs and domains,
J. Math. Anal. Appl., 430(2015), 874–894.
A. Danielyan and V. Totik, A converse to a theorem of Salem and Zygmund,
Bull. Sci. Math., 140(2016), 260-272.
V. Totik and T. Varga, Chebyshev and fast decreasing polynomials,
Proceedings of the London Math. Soc., 110(2015) 1057–10981.
V. Totik, Universality under Szego's condition,
Canadian Math. Bull., 59(2016), 211-224.
Z, Daróczy and V. Totik, Remarks on a functional equation, Acta Sci. Math.,
81(2015), 527-531.
B. Nagy, S.I. Kalmykov, On estimate of the norm of the holomorphic component of a meromorphic function in finitely connected domain,
Zap. Nauchn. Sem. S.-Peterburg Otdel Mat. Inst. Steklov (POMI) 440(2015), 123-137.
T. Bloom, N. Levenberg, F. Wielonski and V. Totik, Modified logarithmic potential theory and applications,
International Mathematics Research Notices (to appear)
V. Totik, Barry Simon and the International Bolyai Prize, Acta Math. Hungar., 149(2016), 263-273.
V. Totik, The Gauss-Lucas theorem in an asymptotic sense, Bull. London Math. Soc.,
48(2016), 848-854.
V. Totik, On a problem of Boris Mityagin, J. Approx. Theory, J. Approx. Theory, 218(2017), 1-8.
V. Totik and Y. Zhou, Sharp constants in asymptotic higher order Markov inequalities, Acta Math. Hungar., 152(2017), 227-242.
B. Nagy, S.I. Kalmykov and V. Totik, Bernstein- and Markov-type inequalities for rational functions, Acta Math. (to appear)
T. Danka and V. Totik, Christoffel functions with power type weights,
J. European Math. Soc., (to appear)
T. Danka, Universality limits for generalized Jacobi measures, Advances in Mathematics (to appear)
Á. Baricz and T. Danka, Zeros of orthogonal polynomials near an algebraic singularity of the measure
Educational Articles
V. Totik, A transzfinit átmérő, Polygon, 23(2016), 25-39. (Hungarian)
T. Danka and T. Varga, Lánctörtek, Polygon, 23(2016), 77-101.
(Hungarian)
V. Totik, Barry Simon és a Bolyai János Nemzetközi Matematikai Díj, Természet Világa, 147(2016), 98-99. (Hungarian)