Borodachov, Sergiy; Boyvalenkov, Peter; Dragnev, Peter; Hardin, Douglas; Saff, Edward; Stoyanova, Maya Energy bounds for weighted spherical codes and designs via linear programming. arXiv:2403.07457 Preprint, arXiv:2403.07457 [math.MG] (2024). MSC: 52C17 31C20 BibTeX Cite \textit{S. Borodachov} et al., ``Energy bounds for weighted spherical codes and designs via linear programming'', Preprint, arXiv:2403.07457 [math.MG] (2024) Full Text: arXiv OA License
Hardin, Douglas; Petrache, Mircea; Saff, Edward B. Corrigendum to: “Unconstrained polarization (Chebyshev) problems: basic properties and Riesz kernel asymptotics”. (Corrigendum to: “Asymptotics for the unconstrained polarization (Chebyshev) problem”.) (English) Zbl 07785439 Potential Anal. 59, No. 4, 2123-2130 (2023). MSC: 31B15 31C15 31C05 PDFBibTeX XMLCite \textit{D. Hardin} et al., Potential Anal. 59, No. 4, 2123--2130 (2023; Zbl 07785439) Full Text: DOI
Dragnev, P. D.; Orive, R.; Saff, E. B.; Wielonsky, F. Riesz energy problems with external fields and related theory. (English) Zbl 1516.31014 Constr. Approx. 57, No. 1, 1-43 (2023). MSC: 31B15 78A30 PDFBibTeX XMLCite \textit{P. D. Dragnev} et al., Constr. Approx. 57, No. 1, 1--43 (2023; Zbl 1516.31014) Full Text: DOI arXiv
Dragnev, Peter D.; Legg, Alan R.; Saff, Edward B. Point source equilibrium problems with connections to weighted quadrature domains. (English) Zbl 1509.31003 Indag. Math., New Ser. 34, No. 2, 200-218 (2023). MSC: 31A15 30C85 PDFBibTeX XMLCite \textit{P. D. Dragnev} et al., Indag. Math., New Ser. 34, No. 2, 200--218 (2023; Zbl 1509.31003) Full Text: DOI arXiv
Chafaï, Djalil; Saff, Edward B.; Womersley, Robert S. Threshold condensation to singular support for a Riesz equilibrium problem. (English) Zbl 1509.31010 Anal. Math. Phys. 13, No. 1, Paper No. 19, 30 p. (2023). MSC: 31B15 PDFBibTeX XMLCite \textit{D. Chafaï} et al., Anal. Math. Phys. 13, No. 1, Paper No. 19, 30 p. (2023; Zbl 1509.31010) Full Text: DOI arXiv
Chafaï, Djalil; Saff, Edward B.; Womersley, Robert S. On the solution of a Riesz equilibrium problem and integral identities for special functions. (English) Zbl 1495.31013 J. Math. Anal. Appl. 515, No. 1, Article ID 126367, 29 p. (2022). MSC: 31B15 PDFBibTeX XMLCite \textit{D. Chafaï} et al., J. Math. Anal. Appl. 515, No. 1, Article ID 126367, 29 p. (2022; Zbl 1495.31013) Full Text: DOI arXiv
Hardin, Douglas P.; Petrache, Mircea; Saff, Edward B. Unconstrained polarization (Chebyshev) problems: basic properties and Riesz kernel asymptotics. (English) Zbl 1485.31001 Potential Anal. 56, No. 1, 21-64 (2022); corrigendum ibid. 59, No. 4, 2123-2130 (2023). Reviewer: Dimitrios Betsakos (Thessaloniki) MSC: 31B15 31C15 31C05 PDFBibTeX XMLCite \textit{D. P. Hardin} et al., Potential Anal. 56, No. 1, 21--64 (2022; Zbl 1485.31001) Full Text: DOI arXiv
Hardin, Douglas P.; Saff, Edward B.; Vlasiuk, Oleksandr Asymptotics of \(k\)-nearest neighbor Riesz energies. arXiv:2201.00474 Preprint, arXiv:2201.00474 [math.CA] (2022). MSC: 31C20 28A78 52A40 BibTeX Cite \textit{D. P. Hardin} et al., ``Asymptotics of $k$-nearest neighbor Riesz energies'', Preprint, arXiv:2201.00474 [math.CA] (2022) Full Text: arXiv OA License
Hardin, Douglas; Saff, Edward B.; Shu, Ruiwen; Tadmor, Eitan Dynamics of particles on a curve with pairwise hyper-singular repulsion. (English) Zbl 1483.31022 Discrete Contin. Dyn. Syst. 41, No. 12, 5509-5536 (2021). MSC: 31B15 PDFBibTeX XMLCite \textit{D. Hardin} et al., Discrete Contin. Dyn. Syst. 41, No. 12, 5509--5536 (2021; Zbl 1483.31022) Full Text: DOI arXiv
Dragnev, Peter D.; Fuglede, Bent; Hardin, Doug P.; Saff, Edward B.; Zorii, Natalia Constrained minimum Riesz energy problems for a condenser with intersecting plates. (English) Zbl 1439.31006 J. Anal. Math. 140, No. 1, 117-159 (2020). Reviewer: Paolo Musolino (Padova) MSC: 31B15 41A99 PDFBibTeX XMLCite \textit{P. D. Dragnev} et al., J. Anal. Math. 140, No. 1, 117--159 (2020; Zbl 1439.31006) Full Text: DOI arXiv
Hardin, Douglas; Saff, Edward B.; Vlasiuk, Oleksandr Asymptotic properties of short-range interaction functionals. arXiv:2010.11937 Preprint, arXiv:2010.11937 [math.CA] (2020). MSC: 31C20 28A78 52A40 BibTeX Cite \textit{D. Hardin} et al., ``Asymptotic properties of short-range interaction functionals'', Preprint, arXiv:2010.11937 [math.CA] (2020) Full Text: arXiv OA License
Hardin, D. P.; Reznikov, A.; Saff, E. B.; Volberg, A. Local properties of Riesz minimal energy configurations and equilibrium measures. (English) Zbl 1457.31004 Int. Math. Res. Not. 2019, No. 16, 5066-5086 (2019). MSC: 31B15 47G30 PDFBibTeX XMLCite \textit{D. P. Hardin} et al., Int. Math. Res. Not. 2019, No. 16, 5066--5086 (2019; Zbl 1457.31004) Full Text: DOI arXiv
Dragnev, P. D.; Fuglede, B.; Hardin, D. P.; Saff, E. B.; Zorii, N. Condensers with touching plates and constrained minimum Riesz and Green energy problems. (English) Zbl 1435.31009 Constr. Approx. 50, No. 3, 369-401 (2019). Reviewer: René L. Schilling (Dresden) MSC: 31C15 PDFBibTeX XMLCite \textit{P. D. Dragnev} et al., Constr. Approx. 50, No. 3, 369--401 (2019; Zbl 1435.31009) Full Text: DOI arXiv Link
Hardin, D. P.; Michaels, T. J.; Saff, E. B. Asymptotic linear programming lower bounds for the energy of minimizing Riesz and Gauss configurations. (English) Zbl 1410.28004 Mathematika 65, No. 1, 157-180 (2019). Reviewer: Kathryn Hare (Waterloo) MSC: 28A78 31C20 PDFBibTeX XMLCite \textit{D. P. Hardin} et al., Mathematika 65, No. 1, 157--180 (2019; Zbl 1410.28004) Full Text: DOI arXiv
Brauchart, Johann S.; Dragnev, Peter D.; Saff, Edward B.; Womersley, Robert S. Logarithmic and Riesz equilibrium for multiple sources on the sphere: the exceptional case. (English) Zbl 1405.31007 Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer (ISBN 978-3-319-72455-3/hbk; 978-3-319-72456-0/ebook). 179-203 (2018). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31B15 PDFBibTeX XMLCite \textit{J. S. Brauchart} et al., in: Contemporary computational mathematics -- a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer. 179--203 (2018; Zbl 1405.31007) Full Text: DOI arXiv
Hardin, Douglas P.; Leblé, Thomas; Saff, Edward B.; Serfaty, Sylvia Large deviation principles for hypersingular Riesz gases. (English) Zbl 1398.82044 Constr. Approx. 48, No. 1, 61-100 (2018). MSC: 82D15 60F10 82B05 31C20 28A78 PDFBibTeX XMLCite \textit{D. P. Hardin} et al., Constr. Approx. 48, No. 1, 61--100 (2018; Zbl 1398.82044) Full Text: DOI arXiv
Borodachov, S. V.; Hardin, D. P.; Reznikov, A.; Saff, E. B. Optimal discrete measures for Riesz potentials. (English) Zbl 1401.31018 Trans. Am. Math. Soc. 370, No. 10, 6973-6993 (2018). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31C20 PDFBibTeX XMLCite \textit{S. V. Borodachov} et al., Trans. Am. Math. Soc. 370, No. 10, 6973--6993 (2018; Zbl 1401.31018) Full Text: DOI arXiv
Saff, E. B.; Stylianopoulos, N. Relative asymptotics of orthogonal polynomials for perturbed measures. (English. Russian original) Zbl 1395.30039 Sb. Math. 209, No. 3, 449-468 (2018); translation from Mat. Sb. 209, No. 3, 168-188 (2018). MSC: 30E05 65E05 30C10 31A15 PDFBibTeX XMLCite \textit{E. B. Saff} and \textit{N. Stylianopoulos}, Sb. Math. 209, No. 3, 449--468 (2018; Zbl 1395.30039); translation from Mat. Sb. 209, No. 3, 168--188 (2018) Full Text: DOI arXiv
Reznikov, A.; Saff, E.; Volberg, A. Covering and separation of Chebyshev points for non-integrable Riesz potentials. (English) Zbl 1408.31004 J. Complexity 46, 19-44 (2018). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31B15 31C20 PDFBibTeX XMLCite \textit{A. Reznikov} et al., J. Complexity 46, 19--44 (2018; Zbl 1408.31004) Full Text: DOI arXiv
P. Hardin, Douglas; B. Saff, Edward; Z. Simanek, Brian; Su, Yujian Next order energy asymptotics for Riesz potentials on flat tori. (English) Zbl 1405.31008 Int. Math. Res. Not. 2017, No. 12, 3529-3556 (2017). MSC: 31C12 PDFBibTeX XMLCite \textit{D. P. Hardin} et al., Int. Math. Res. Not. 2017, No. 12, 3529--3556 (2017; Zbl 1405.31008) Full Text: DOI arXiv
Reznikov, A.; Saff, E. B.; Vlasiuk, O. V. A minimum principle for potentials with application to Chebyshev constants. (English) Zbl 1378.31003 Potential Anal. 47, No. 2, 235-244 (2017). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31C15 PDFBibTeX XMLCite \textit{A. Reznikov} et al., Potential Anal. 47, No. 2, 235--244 (2017; Zbl 1378.31003) Full Text: DOI arXiv
Hardin, Doug P.; Saff, Edward B.; Vlasiuk, Oleksandr V. Generating point configurations via hypersingular Riesz energy with an external field. (English) Zbl 1361.31007 SIAM J. Math. Anal. 49, No. 1, 646-673 (2017). MSC: 31B15 PDFBibTeX XMLCite \textit{D. P. Hardin} et al., SIAM J. Math. Anal. 49, No. 1, 646--673 (2017; Zbl 1361.31007) Full Text: DOI arXiv
Reznikov, A.; Saff, Edward B. The covering radius of randomly distributed points on a manifold. (English) Zbl 1404.60005 Int. Math. Res. Not. 2016, No. 19, 6065-6094 (2016). MSC: 60B05 31E05 PDFBibTeX XMLCite \textit{A. Reznikov} and \textit{E. B. Saff}, Int. Math. Res. Not. 2016, No. 19, 6065--6094 (2016; Zbl 1404.60005) Full Text: DOI arXiv
Hardin, D. P.; Michaels, T.; Saff, E. B. A comparison of popular point configurations on \(\mathbb S^2\). (English) Zbl 1370.31001 Dolomites Res. Notes Approx. 9, 16-49 (2016). MSC: 31A15 PDFBibTeX XMLCite \textit{D. P. Hardin} et al., Dolomites Res. Notes Approx. 9, 16--49 (2016; Zbl 1370.31001) Full Text: DOI arXiv EMIS
Dragnev, P. D.; Fuglede, B.; Hardin, Doug P.; Saff, Edward B.; Zorii, Natalia Minimum Riesz energy problems for a condenser with touching plates. (English) Zbl 1338.31008 Potential Anal. 44, No. 3, 543-577 (2016). MSC: 31B15 31C15 PDFBibTeX XMLCite \textit{P. D. Dragnev} et al., Potential Anal. 44, No. 3, 543--577 (2016; Zbl 1338.31008) Full Text: DOI arXiv
Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M. Universal upper and lower bounds on energy of spherical designs. (English) Zbl 1370.31003 Dolomites Res. Notes Approx. 8, Spec. Iss., 51-65 (2015). MSC: 31C20 90C05 PDFBibTeX XMLCite \textit{P. G. Boyvalenkov} et al., Dolomites Res. Notes Approx. 8, 51--65 (2015; Zbl 1370.31003) Full Text: DOI arXiv EMIS
Saff, E. B.; Stylianopoulos, N. On the zeros of asymptotically extremal polynomial sequences in the plane. (English) Zbl 1312.31011 J. Approx. Theory 191, 118-127 (2015). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31A15 30C10 30C30 30C50 41A10 PDFBibTeX XMLCite \textit{E. B. Saff} and \textit{N. Stylianopoulos}, J. Approx. Theory 191, 118--127 (2015; Zbl 1312.31011) Full Text: DOI arXiv
Brauchart, Johann S.; Dragnev, Peter D.; Saff, Edward B. An electrostatics problem on the sphere arising from a nearby point charge. (English) Zbl 1422.31004 Ivanov, Kamen (ed.) et al., Constructive theory of functions. Dedicated to Blagovest Sendov and to the memory of Vasil Popov. Proceedings of the 11th international conference, Sozopol, Bulgaria, June 9–14, 2013. Sofia: Prof. Marin Drinov Academic Publishing House. 11-55 (2014). MSC: 31B15 30C15 PDFBibTeX XMLCite \textit{J. S. Brauchart} et al., in: Constructive theory of functions. Dedicated to Blagovest Sendov and to the memory of Vasil Popov. Proceedings of the 11th international conference, Sozopol, Bulgaria, June 9--14, 2013. Sofia: Prof. Marin Drinov Academic Publishing House. 11--55 (2014; Zbl 1422.31004) Full Text: arXiv
Pritsker, I. E.; Saff, E. B.; Wise, W. Reverse triangle inequalities for Riesz potentials and connections with polarization. (English) Zbl 1327.31018 J. Math. Anal. Appl. 410, No. 2, 868-881 (2014). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31B15 PDFBibTeX XMLCite \textit{I. E. Pritsker} et al., J. Math. Anal. Appl. 410, No. 2, 868--881 (2014; Zbl 1327.31018) Full Text: DOI arXiv
Hardin, D. P.; Saff, E. B.; Simanek, B. Periodic discrete energy for long-range potentials. (English) Zbl 1310.74022 J. Math. Phys. 55, No. 12, 123509, 27 p. (2014). Reviewer: Michael Perelmuter (Kyïv) MSC: 74G65 31C20 PDFBibTeX XMLCite \textit{D. P. Hardin} et al., J. Math. Phys. 55, No. 12, 123509, 27 p. (2014; Zbl 1310.74022) Full Text: DOI arXiv
Borodachov, S. V.; Hardin, D. P.; Saff, E. B. Low complexity methods for discretizing manifolds via Riesz energy minimization. (English) Zbl 1304.31006 Found. Comput. Math. 14, No. 6, 1173-1208 (2014). MSC: 31B15 PDFBibTeX XMLCite \textit{S. V. Borodachov} et al., Found. Comput. Math. 14, No. 6, 1173--1208 (2014; Zbl 1304.31006) Full Text: DOI arXiv
Brauchart, Johann S.; Dragnev, Peter D.; Saff, Edward B. Riesz external field problems on the hypersphere and optimal point separation. (English) Zbl 1307.31010 Potential Anal. 41, No. 3, 647-678 (2014). Reviewer: Tobias Kaiser (Passau) MSC: 31B15 28A12 31C20 PDFBibTeX XMLCite \textit{J. S. Brauchart} et al., Potential Anal. 41, No. 3, 647--678 (2014; Zbl 1307.31010) Full Text: DOI arXiv
Bondarenko, A. V.; Hardin, D. P.; Saff, E. B. Mesh ratios for best-packing and limits of minimal energy configurations. (English) Zbl 1349.31004 Acta Math. Hung. 142, No. 1, 118-131 (2014). MSC: 31C20 65N50 57N16 52A40 28A78 PDFBibTeX XMLCite \textit{A. V. Bondarenko} et al., Acta Math. Hung. 142, No. 1, 118--131 (2014; Zbl 1349.31004) Full Text: DOI arXiv Link
Erdélyi, Tamás; Saff, Edward B. Riesz polarization inequalities in higher dimensions. (English) Zbl 1282.31003 J. Approx. Theory 171, 128-147 (2013). Reviewer: Marius Ghergu (Dublin) MSC: 31B15 78A30 PDFBibTeX XMLCite \textit{T. Erdélyi} and \textit{E. B. Saff}, J. Approx. Theory 171, 128--147 (2013; Zbl 1282.31003) Full Text: DOI arXiv
Brauchart, J. S.; Hardin, D. P.; Saff, E. B. The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere. (English) Zbl 1318.31011 Arvesú, Jorge (ed.) et al., Recent advances in orthogonal polynomials, special functions, and their applications. 11th international symposium, Universidad Carlos III de Madrid, Leganés, Spain, August 29 – September 2, 2011. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6896-6/pbk). Contemporary Mathematics 578, 31-61 (2012). MSC: 31C20 52A40 31C15 41A60 PDFBibTeX XMLCite \textit{J. S. Brauchart} et al., Contemp. Math. 578, 31--61 (2012; Zbl 1318.31011) Full Text: DOI arXiv
Brauchart, Johann S.; Hardin, Douglas P.; Saff, Edward B. Discrete energy asymptotics on a Riemannian circle. (English) Zbl 1324.31006 Unif. Distrib. Theory 7, No. 2, 77-108 (2012). MSC: 31C45 30C40 30B40 65B15 PDFBibTeX XMLCite \textit{J. S. Brauchart} et al., Unif. Distrib. Theory 7, No. 2, 77--108 (2012; Zbl 1324.31006) Full Text: arXiv Link
Brauchart, J. S.; Dragnev, P. D.; Saff, E. B.; van de Woestijne, C. E. A fascinating polynomial sequence arising from an electrostatics problem on the sphere. (English) Zbl 1299.30007 Acta Math. Hung. 137, No. 1-2, 10-26 (2012). MSC: 30C10 31B10 PDFBibTeX XMLCite \textit{J. S. Brauchart} et al., Acta Math. Hung. 137, No. 1--2, 10--26 (2012; Zbl 1299.30007) Full Text: DOI arXiv
Saff, E. B. Logarithmic potential theory with applications to approximation theory. (English) Zbl 1285.30020 Surv. Approx. Theory 5, 165-200 (2010). MSC: 30E10 31A15 41A20 PDFBibTeX XMLCite \textit{E. B. Saff}, Surv. Approx. Theory 5, 165--200 (2010; Zbl 1285.30020) Full Text: arXiv EMIS
López García, A.; Saff, E. B. Asymptotics of greedy energy points. (English) Zbl 1202.31008 Math. Comput. 79, No. 272, 2287-2316 (2010). MSC: 31E05 65D99 52A40 PDFBibTeX XMLCite \textit{A. López García} and \textit{E. B. Saff}, Math. Comput. 79, No. 272, 2287--2316 (2010; Zbl 1202.31008) Full Text: DOI arXiv
Gustafsson, Björn; Putinar, Mihai; Saff, Edward B.; Stylianopoulos, Nikos Bergman polynomials on an archipelago: estimates, zeros and shape reconstruction. (English) Zbl 1194.42030 Adv. Math. 222, No. 4, 1405-1460 (2009). MSC: 42C05 32A36 30C40 31A15 94A08 30C70 30E05 65E05 PDFBibTeX XMLCite \textit{B. Gustafsson} et al., Adv. Math. 222, No. 4, 1405--1460 (2009; Zbl 1194.42030) Full Text: DOI arXiv
Brauchart, J. S.; Hardin, D. P.; Saff, E. B. The Riesz energy of the \(N\)th roots of unity: an asymptotic expansion for large \(N\). (English) Zbl 1175.30003 Bull. Lond. Math. Soc. 41, No. 4, 621-633 (2009). Reviewer: Marek Jarnicki (Kraków) MSC: 30B40 31A15 41A60 78A30 33B15 PDFBibTeX XMLCite \textit{J. S. Brauchart} et al., Bull. Lond. Math. Soc. 41, No. 4, 621--633 (2009; Zbl 1175.30003) Full Text: DOI arXiv
Brauchart, Johann S.; Hardin, Douglas P.; Saff, Edward B. Riesz energy and sets of revolution in \(\mathbb R^3\). (English) Zbl 1185.28008 Aytuna, Aydin (ed.) et al., Functional analysis and complex analysis. International conference, Istanbul, Turkey, September 17–21, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4460-1/pbk). Contemporary Mathematics 481, 47-57 (2009). Reviewer: Hua Su (Beijing) MSC: 28A78 31B15 PDFBibTeX XMLCite \textit{J. S. Brauchart} et al., Contemp. Math. 481, 47--57 (2009; Zbl 1185.28008)
Brauchart, J. S.; Dragnev, P. D.; Saff, E. B. Riesz extremal measures on the sphere for axis-supported external fields. (English) Zbl 1175.31004 J. Math. Anal. Appl. 356, No. 2, 769-792 (2009). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 31B15 PDFBibTeX XMLCite \textit{J. S. Brauchart} et al., J. Math. Anal. Appl. 356, No. 2, 769--792 (2009; Zbl 1175.31004) Full Text: DOI arXiv
Grabner, Peter (ed.); Hardin, Douglas (ed.); Saff, Edward B. (ed.); Zähle, Martina (ed.) Mini-workshop: Geometric measure theoretic approaches to potentials on fractals and manifolds. Abstracts from the mini-workshop held April 8–14, 2007. (English) Zbl 1177.28002 Oberwolfach Rep. 4, No. 2, 1027-1072 (2007). MSC: 28-06 31-06 00B05 28A78 31B15 11K36 49J10 31C20 PDFBibTeX XMLCite \textit{P. Grabner} (ed.) et al., Oberwolfach Rep. 4, No. 2, 1027--1072 (2007; Zbl 1177.28002) Full Text: DOI Link
Brauchart, J. S.; Hardin, D. P.; Saff, E. B. The support of the limit distribution of optimal Riesz energy points on sets of revolution in \(\mathbb R^3\). (English) Zbl 1153.81328 J. Math. Phys. 48, No. 12, 122901, 24 p. (2007). MSC: 31B15 PDFBibTeX XMLCite \textit{J. S. Brauchart} et al., J. Math. Phys. 48, No. 12, 122901, 24 p. (2007; Zbl 1153.81328) Full Text: DOI arXiv
Hardin, D. P.; Saff, E. B.; Stahl, H. Support of the logarithmic equilibrium measure on sets of revolution in \(\mathbb R^3\). (English) Zbl 1121.82004 J. Math. Phys. 48, No. 2, 022901, 14 p. (2007). MSC: 31B15 31A15 30C85 PDFBibTeX XMLCite \textit{D. P. Hardin} et al., J. Math. Phys. 48, No. 2, 022901, 14 p. (2007; Zbl 1121.82004) Full Text: DOI arXiv
Dragnev, P. D.; Saff, E. B. Riesz spherical potentials with external fields and minimal energy points separation. (English) Zbl 1115.31003 Potential Anal. 26, No. 2, 139-162 (2007). Reviewer: Anatoly Filip Grishin (Khar’kov) MSC: 31B05 31B15 78A30 PDFBibTeX XMLCite \textit{P. D. Dragnev} and \textit{E. B. Saff}, Potential Anal. 26, No. 2, 139--162 (2007; Zbl 1115.31003) Full Text: DOI
Levin, Eli; Saff, Edward B. Potential theoretic tools in polynomial and rational approximation. (English) Zbl 1146.41001 Fournier, Jean-Daniel (ed.) et al., Harmonic analysis and rational approximation. Their rôles in signals, control and dynamical systems. Berlin: Springer (ISBN 3-540-30922-5/pbk). Lecture Notes in Control and Information Sciences 327, 71-94 (2006). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 41-02 41A20 42A50 30C85 31A15 PDFBibTeX XMLCite \textit{E. Levin} and \textit{E. B. Saff}, Lect. Notes Control Inf. Sci. 327, 71--94 (2006; Zbl 1146.41001)
Kroó, A.; Saff, E. B.; Yattselev, M. A Remez-type theorem for homogeneous polynomials. (English) Zbl 1112.41011 J. Lond. Math. Soc., II. Ser. 73, No. 3, 783-796 (2006). Reviewer: George Csordas (Honolulu) MSC: 41A17 31A15 PDFBibTeX XMLCite \textit{A. Kroó} et al., J. Lond. Math. Soc., II. Ser. 73, No. 3, 783--796 (2006; Zbl 1112.41011) Full Text: DOI
Miña-Díaz, Erwin; Saff, Edward B.; Stylianopoulos, Nikos S. Zero distributions for polynomials orthogonal with weights over certain planar regions. (English) Zbl 1098.30009 Comput. Methods Funct. Theory 5, No. 1, 185-221 (2005). Reviewer: Józef Siciak (Kraków) MSC: 30C10 31A05 31A15 30C15 30C40 PDFBibTeX XMLCite \textit{E. Miña-Díaz} et al., Comput. Methods Funct. Theory 5, No. 1, 185--221 (2005; Zbl 1098.30009) Full Text: DOI
Martínez-Finkelshtein, A.; Maymeskul, V.; Rakhmanov, E. A.; Saff, E. B. Asymptotics for minimal discrete Riesz energy on curves in \(\mathbb{R}^d\). (English) Zbl 1073.31007 Can. J. Math. 56, No. 3, 529-552 (2004). Reviewer: Arno Kuijlaars (Leuven) MSC: 31C20 52A40 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., Can. J. Math. 56, No. 3, 529--552 (2004; Zbl 1073.31007) Full Text: DOI
Levin, A. L.; Saff, E. B.; Stylianopoulos, N. S. Zero distribution of Bergman orthogonal polynomials for certain planar domains. (English) Zbl 1027.30009 Constructive Approximation 19, No. 3, 411-435 (2003). Reviewer: George Csordas (Honolulu) MSC: 30C10 30C15 30C85 31A05 31A15 PDFBibTeX XMLCite \textit{A. L. Levin} et al., Constr. Approx. 19, No. 3, 411--435 (2003; Zbl 1027.30009) Full Text: DOI
Götz, M.; Maymeskul, V. V.; Saff, E. B. Asymptotic distribution of nodes for near-optimal polynomial interpolation on certain curves in \(\mathbb{R}^2\). (English) Zbl 1004.30004 Constructive Approximation 18, No. 2, 255-283 (2002). Reviewer: Eleonora Storozhenko (Odessa) MSC: 30C15 30-06 14A10 41A63 31A15 14Q05 PDFBibTeX XMLCite \textit{M. Götz} et al., Constr. Approx. 18, No. 2, 255--283 (2002; Zbl 1004.30004) Full Text: DOI
Götz, Mario; Saff, Edward B. Note on \(d\)-extremal configurations for the sphere in \(\mathbb{R}^{d+1}\). (English) Zbl 0988.31004 Haussmann, Werner (ed.) et al., Recent progress in multivariate approximation. Proceedings of the 4th international conference, Witten-Bommerholz, Germany, September 24-29, 2000. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 137, 159-162 (2001). Reviewer: Sophia L.Kalpazidou (Thessaloniki) MSC: 31B15 PDFBibTeX XMLCite \textit{M. Götz} and \textit{E. B. Saff}, ISNM, Int. Ser. Numer. Math. 137, 159--162 (2001; Zbl 0988.31004)
Levin, A. L.; Saff, E. B. The distribution of zeros and poles of asymptotically extremal rational functions for Zolotarev’s problem. (English) Zbl 0988.41010 J. Approximation Theory 110, No. 1, 88-108 (2001). Reviewer: Alexander I.Kheyfits (Bronx) MSC: 41A20 30C15 31C15 PDFBibTeX XMLCite \textit{A. L. Levin} and \textit{E. B. Saff}, J. Approx. Theory 110, No. 1, 88--108 (2001; Zbl 0988.41010) Full Text: DOI
Levin, A. L.; Saff, E. B. Fast decreasing rational functions. (English) Zbl 0956.41011 Isr. J. Math. 114, 125-148 (1999). Reviewer: D.S.Lubinsky (Wits) MSC: 41A20 31A15 26D07 PDFBibTeX XMLCite \textit{A. L. Levin} and \textit{E. B. Saff}, Isr. J. Math. 114, 125--148 (1999; Zbl 0956.41011) Full Text: DOI
Beckermann, Bernhard; Saff, Edward B. The sensitivity of least squares polynomial approximation. (English) Zbl 0937.65051 Gautschi, W. (ed.) et al., Applications and computation of orthogonal polynomials. Conference at the Mathematical Research Institute Oberwolfach, Germany, March 22-29, 1998. Dedicated to the memory of Günther Hämmerlin. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 131, 1-19 (1999). MSC: 65F20 31A15 65D15 65F35 PDFBibTeX XMLCite \textit{B. Beckermann} and \textit{E. B. Saff}, ISNM, Int. Ser. Numer. Math. 131, 1--19 (1999; Zbl 0937.65051)
Kuijlaars, A. B. J.; Saff, E. B. Asymptotics for minimal discrete energy on the sphere. (English) Zbl 0896.52019 Trans. Am. Math. Soc. 350, No. 2, 523-538 (1998). MSC: 52A40 31C20 41A60 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{E. B. Saff}, Trans. Am. Math. Soc. 350, No. 2, 523--538 (1998; Zbl 0896.52019) Full Text: DOI
Dragnev, P. D.; Saff, E. B. Constrained energy problems with applications to orthogonal polynomials of a discrete variable. (English) Zbl 0898.31003 J. Anal. Math. 72, 223-259 (1997). Reviewer: A.Martínez Finkelshtein (Almeria) MSC: 31A15 33C45 42C05 PDFBibTeX XMLCite \textit{P. D. Dragnev} and \textit{E. B. Saff}, J. Anal. Math. 72, 223--259 (1997; Zbl 0898.31003) Full Text: DOI
Saff, Edward B.; Totik, Vilmos Logarithmic potentials with external fields. (English) Zbl 0881.31001 Grundlehren der Mathematischen Wissenschaften. 316. Berlin: Springer. xv, 505 p. (1997). Reviewer: D.H.Armitage (Belfast) MSC: 31-02 31A15 30C85 41A17 42A50 PDFBibTeX XMLCite \textit{E. B. Saff} and \textit{V. Totik}, Logarithmic potentials with external fields. Berlin: Springer (1997; Zbl 0881.31001)
Rakhmanov, E. A.; Saff, E. B.; Zhou, Y. M. Minimal discrete energy on the sphere. (English) Zbl 0839.31011 Math. Res. Lett. 1, No. 6, 647-662 (1994). MSC: 31C20 41A60 65Y20 92E10 92D20 PDFBibTeX XMLCite \textit{E. A. Rakhmanov} et al., Math. Res. Lett. 1, No. 6, 647--662 (1994; Zbl 0839.31011) Full Text: DOI
Levin, A. L.; Saff, E. B. Optimal ray sequences of rational functions connected with the Zolotarev problem. (English) Zbl 0804.41014 Constructive Approximation 10, No. 2, 235-273 (1994). MSC: 41A20 30C85 30E10 31C15 PDFBibTeX XMLCite \textit{A. L. Levin} and \textit{E. B. Saff}, Constr. Approx. 10, No. 2, 235--273 (1994; Zbl 0804.41014) Full Text: DOI
Erdélyi, Tamás; Li, Xin; Saff, E. B. Remez- and Nikolskii-type inequalities for logarithmic potentials. (English) Zbl 0799.41016 SIAM J. Math. Anal. 25, No. 2, 365-383 (1994). MSC: 41A17 31A15 PDFBibTeX XMLCite \textit{T. Erdélyi} et al., SIAM J. Math. Anal. 25, No. 2, 365--383 (1994; Zbl 0799.41016) Full Text: DOI
Levin, A. L.; Saff, E. B. Exact convergence rates for best \(L_ p\) rational approximation to the signum function and for optimal quadrature in \(H^ p\). (English) Zbl 0809.41013 Gonchar, A. A. (ed.) et al., Methods of approximation theory in complex analysis and mathematical physics. Selected papers of international seminars on “Methods of approximation theory in complex analysis and mathematical physics” held in Leningrad, Russia, May 13-26, 1991. Berlin: Springer-Verlag. Lect. Notes Math. 1550, 98-109 (1993). Reviewer: H.P.Dikshit (Shimla) MSC: 41A20 30E10 31A15 PDFBibTeX XMLCite \textit{A. L. Levin} and \textit{E. B. Saff}, Lect. Notes Math. 1550, 98--109 (1993; Zbl 0809.41013)
Levin, A. L.; Saff, E. B. Generalization of Gonchar’s inequality for rational functions on the case of the \(L_ p\) metric. (Russian) Zbl 0766.30033 Mat. Sb. 183, No. 6, 97-110 (1992). Reviewer: J.Siciak (Kraków) MSC: 30E10 31A15 30A10 PDFBibTeX XMLCite \textit{A. L. Levin} and \textit{E. B. Saff}, Mat. Sb. 183, No. 6, 97--110 (1992; Zbl 0766.30033)
Mhaskar, H. N.; Saff, E. B. Weighted analogues of capacity, transfinite diameter, and Chebyshev constant. (English) Zbl 0747.31001 Constructive Approximation 8, No. 1, 105-124 (1992). Reviewer: B.Kjellberg (Stockholm) MSC: 31A15 30C85 PDFBibTeX XMLCite \textit{H. N. Mhaskar} and \textit{E. B. Saff}, Constr. Approx. 8, No. 1, 105--124 (1992; Zbl 0747.31001) Full Text: DOI
Levin, A. L.; Saff, E. B. Generalization of Gonchar’s inequality for rational functions in the case of the \(L_ p\) metric. (English. Russian original) Zbl 0782.30030 Russ. Acad. Sci., Sb., Math. 76, No. 1, 199-210 (1993); translation from Mat. Sb. 183, No. 6, 97-110 (1992). MSC: 30E10 31A15 30A10 PDFBibTeX XMLCite \textit{A. L. Levin} and \textit{E. B. Saff}, Russ. Acad. Sci., Sb., Math. 76, No. 1, 199--210 (1992; Zbl 0782.30030); translation from Mat. Sb. 183, No. 6, 97--110 (1992) Full Text: DOI
Mhaskar, H. N.; Saff, E. B. Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials). (English) Zbl 0582.41009 Constructive Approximation 1, 71-91 (1985). MSC: 41A10 33C45 31B15 PDFBibTeX XMLCite \textit{H. N. Mhaskar} and \textit{E. B. Saff}, Constr. Approx. 1, 71--91 (1985; Zbl 0582.41009) Full Text: DOI