-
2
-
-
0000006032
-
-
V.V. Andrievskii, H.-P. Blatt, and M. Götz, Discrepancy estimates on the sphere, Monatsh. Math. 128 (1999), no. 3, 179-188. MR1719364 (2000h:11080)
-
V.V. Andrievskii, H.-P. Blatt, and M. Götz, Discrepancy estimates on the sphere, Monatsh. Math. 128 (1999), no. 3, 179-188. MR1719364 (2000h:11080)
-
-
-
-
3
-
-
84974189036
-
Sums of distances between points on a sphere - an application of the theory of irregularities of distribution to discrete geometry
-
MR762175 86d:52004
-
J. Beck, Sums of distances between points on a sphere - an application of the theory of irregularities of distribution to discrete geometry, Mathematika 31 (1984), no. 1, 33-41. MR762175 (86d:52004)
-
(1984)
Mathematika
, vol.31
, Issue.1
, pp. 33-41
-
-
Beck, J.1
-
4
-
-
33745100763
-
-
J.S. Brauchart, About the second term of the asymptotics for optimal Riesz energy on the sphere in the potential-theoretical case, Integral Transforms Spec. Funct. 17 (2006), no. 5, 321-328. MR2237493 (2007f:31011)
-
J.S. Brauchart, About the second term of the asymptotics for optimal Riesz energy on the sphere in the potential-theoretical case, Integral Transforms Spec. Funct. 17 (2006), no. 5, 321-328. MR2237493 (2007f:31011)
-
-
-
-
5
-
-
33749644556
-
-
J.S. Brauchart and K. Hesse, Numerical integration over spheres of arbitrary dimension, Constr. Approx. 25 (2007), no. 1, 41-71. MR2263736 (2007f:41025)
-
J.S. Brauchart and K. Hesse, Numerical integration over spheres of arbitrary dimension, Constr. Approx. 25 (2007), no. 1, 41-71. MR2263736 (2007f:41025)
-
-
-
-
6
-
-
0038392442
-
-
S.B. Damelin and P.J. Grabner, Energy functionals, numerical integration and asymptotic equidistnbution on the sphere, J. Complexity 19 (2003), no. 3, 231-246. MR1984111 (2004e:41032)
-
S.B. Damelin and P.J. Grabner, Energy functionals, numerical integration and asymptotic equidistnbution on the sphere, J. Complexity 19 (2003), no. 3, 231-246. MR1984111 (2004e:41032)
-
-
-
-
7
-
-
47249109966
-
-
P.D. Dragnev, On the separation of logarithmic points on the sphere, Approximation theory, X (St. Louis, MO, 2001), Innov. Appl. Math., Vanderbilt Univ. Press, Nashville, TN, 2002, pp. 137-144. MR1924855 (2003h:41020)
-
P.D. Dragnev, On the separation of logarithmic points on the sphere, Approximation theory, X (St. Louis, MO, 2001), Innov. Appl. Math., Vanderbilt Univ. Press, Nashville, TN, 2002, pp. 137-144. MR1924855 (2003h:41020)
-
-
-
-
8
-
-
0036972509
-
-
P.D. Dragnev, D.A. Legg, and D.W. Townsend, Discrete logarithmic energy on the sphere, Pacific J. Math. 207 (2002), no. 2, 345-358. MR1972249 (2004c:52015)
-
P.D. Dragnev, D.A. Legg, and D.W. Townsend, Discrete logarithmic energy on the sphere, Pacific J. Math. 207 (2002), no. 2, 345-358. MR1972249 (2004c:52015)
-
-
-
-
9
-
-
0034553901
-
-
d, d ≥ 3, Potential Anal. 13 (2000), no. 4, 345-359. MR1804177 (2002a:31006)
-
d, d ≥ 3, Potential Anal. 13 (2000), no. 4, 345-359. MR1804177 (2002a:31006)
-
-
-
-
10
-
-
0011265052
-
Erdös-Turán type discrepancy bounds
-
MR1100852 92f:11108
-
P.J. Grabner, Erdös-Turán type discrepancy bounds, Monatsh. Math. 111 (1991), no. 2, 127-135. MR1100852 (92f:11108)
-
(1991)
Monatsh. Math
, vol.111
, Issue.2
, pp. 127-135
-
-
Grabner, P.J.1
-
11
-
-
27844497928
-
-
D.P. Hardin and E.B. Saff, Discretizing manifolds via minimum energy points, Notices Am. Math. Soc. 51 (2004), no. 10, 1186-1194. MR2104914 (2006a:41049)
-
D.P. Hardin and E.B. Saff, Discretizing manifolds via minimum energy points, Notices Am. Math. Soc. 51 (2004), no. 10, 1186-1194. MR2104914 (2006a:41049)
-
-
-
-
12
-
-
33646478548
-
-
K. Hesse, A lower bound for the worst-case cubature error on spheres of arbitrary dimension, Numer. Math. 103 (2006), no. 3, 413-433. MR2221056 (2007b:41050)
-
K. Hesse, A lower bound for the worst-case cubature error on spheres of arbitrary dimension, Numer. Math. 103 (2006), no. 3, 413-433. MR2221056 (2007b:41050)
-
-
-
-
13
-
-
27844500239
-
-
2, J. Complexity 21 (2005), no. 6, 790-803. MR2182445 (2006m:65047)
-
2, J. Complexity 21 (2005), no. 6, 790-803. MR2182445 (2006m:65047)
-
-
-
-
14
-
-
17044405176
-
-
2, Bull. Austral. Math. Soc. 71 (2005), no. 1, 81-105. MR2127668 (2005k:41090)
-
2, Bull. Austral. Math. Soc. 71 (2005), no. 1, 81-105. MR2127668 (2005k:41090)
-
-
-
-
15
-
-
33746576281
-
2 in Sobolev spaces of arbitrary order
-
MR2252093
-
2 in Sobolev spaces of arbitrary order, J. Approx. Theory 141 (2006), no. 2, 118-133. MR2252093
-
(2006)
J. Approx. Theory
, vol.141
, Issue.2
, pp. 118-133
-
-
Grabner, P.J.1
-
16
-
-
47249150659
-
-
J. Korevaar, Fekete extreme points and related problems, Approximation theory and function series (Budapest, 1995), Bolyai Soc. Math. Stud., 5, János Bolyai Math. Soc., Budapest, 1996, pp. 35-62. MR1432660 (98c:31004)
-
J. Korevaar, Fekete extreme points and related problems, Approximation theory and function series (Budapest, 1995), Bolyai Soc. Math. Stud., vol. 5, János Bolyai Math. Soc., Budapest, 1996, pp. 35-62. MR1432660 (98c:31004)
-
-
-
-
17
-
-
21944444965
-
Asymptotics for minimal discrete energy on the sphere
-
MR1458327 98e:11092
-
A.B.J. Kuijlaars and E.B. Saff, Asymptotics for minimal discrete energy on the sphere, Trans. Am. Math. Soc. 350 (1998), no. 2, 523-538. MR1458327 (98e:11092)
-
(1998)
Trans. Am. Math. Soc
, vol.350
, Issue.2
, pp. 523-538
-
-
Kuijlaars, A.B.J.1
Saff, E.B.2
-
18
-
-
0004252364
-
-
John Wiley & Sons, a Wiley-Interscience Publication, New York, MR0419394 54:7415
-
L. Kuipers and H. Niederreiter, Uniform distribution of sequences, Pure and Applied Mathematics, John Wiley & Sons, a Wiley-Interscience Publication, New York, 1974. MR0419394 (54:7415)
-
(1974)
Uniform distribution of sequences, Pure and Applied Mathematics
-
-
Kuipers, L.1
Niederreiter, H.2
-
19
-
-
0003233789
-
Foundations of modern potential theory
-
50:2520, Band
-
N.S. Landkof, Foundations of modern potential theory, Springer-Verlag, New York, 1972, Translated from the Russian by A. P. Doohovskoy, Die Grundlehren der mathematischen Wissenschaften, Band 180. MR0350027 (50:2520)
-
Springer-Verlag, New York, 1972, Translated from the Russian by A. P. Doohovskoy, Die Grundlehren der mathematischen Wissenschaften
, vol.180
-
-
Landkof, N.S.1
-
20
-
-
33846959089
-
A partition of the unit sphere into regions of equal area and small diameter
-
electronic, MR2280380
-
P. Leopardi, A partition of the unit sphere into regions of equal area and small diameter, Electron. Trans. Numer. Anal. 25 (2006), 309-327 (electronic). MR2280380
-
(2006)
Electron. Trans. Numer. Anal
, vol.25
, pp. 309-327
-
-
Leopardi, P.1
-
21
-
-
0347174830
-
-
X.-J. Li and J.D. Vaaler, Some trigonometric extremal functions and Erdös-Turán type inequalities, Indiana Univ. Math. J. 48(1999), no. 1, 183-236. MR1722198 (2001a:11136)
-
X.-J. Li and J.D. Vaaler, Some trigonometric extremal functions and Erdös-Turán type inequalities, Indiana Univ. Math. J. 48(1999), no. 1, 183-236. MR1722198 (2001a:11136)
-
-
-
-
23
-
-
0003839669
-
-
Cambridge University Press, Cambridge, MR1854469 2002h:33001
-
R.B. Paris and D. Kaminski, Asymptotics and Mellin-Barnes integrals, Encyclopedia of Mathematics and its Applications, vol. 85, Cambridge University Press, Cambridge, 2001. MR1854469 (2002h:33001)
-
(2001)
Asymptotics and Mellin-Barnes integrals, Encyclopedia of Mathematics and its Applications
, vol.85
-
-
Paris, R.B.1
Kaminski, D.2
-
24
-
-
0004184360
-
-
Gordon & Breach Science Publishers, New York, MR874986 88f:00013
-
A.P. Prudnikov, Yu.A. Brychkov, and O.I. Marichev, Integrals and series, vol. 1, Gordon & Breach Science Publishers, New York, 1986. MR874986 (88f:00013)
-
(1986)
Integrals and series
, vol.1
-
-
Prudnikov, A.P.1
Brychkov, Y.A.2
Marichev, O.I.3
-
25
-
-
0004126854
-
-
Chelsea Publishing Co, Bronx, New York, MR0393590 52:14399
-
E.D. Rainville, Special functions, Chelsea Publishing Co., Bronx, New York, 1971. MR0393590 (52:14399)
-
(1971)
Special functions
-
-
Rainville, E.D.1
-
26
-
-
0001447029
-
Minimal discrete energy on the sphere
-
MR1306011 96e:78011
-
E.A. Rakhmanov, E.B. Saff, and Y.M. Zhou, Minimal discrete energy on the sphere, Math. Res. Lett. 1(1994), no. 6, 647-662. MR1306011 (96e:78011)
-
(1994)
Math. Res. Lett
, vol.1
, Issue.6
, pp. 647-662
-
-
Rakhmanov, E.A.1
Saff, E.B.2
Zhou, Y.M.3
-
27
-
-
0031542184
-
Distributing many points on a sphere
-
MR1439152 98h:70011
-
E.B. Saff and A.B.J. Kuijlaars, Distributing many points on a sphere, Math. Intell. 19(1997), no. 1, 5-11. MR1439152 (98h:70011)
-
(1997)
Math. Intell
, vol.19
, Issue.1
, pp. 5-11
-
-
Saff, E.B.1
Kuijlaars, A.B.J.2
-
28
-
-
0002278399
-
Estimates of mass distributions from their potentials and energies
-
MR0310268 46:9369
-
P. Sjogren, Estimates of mass distributions from their potentials and energies, Ark. Mat. 10(1972), 59-77. MR0310268 (46:9369)
-
(1972)
Ark. Mat
, vol.10
, pp. 59-77
-
-
Sjogren, P.1
-
29
-
-
0002587254
-
Mathematical problems for the next century
-
MR1631413 99h:01033
-
S. Smale, Mathematical problems for the next century, Math. Intelligencer 20(1998), no. 2, 7-15. MR1631413 (99h:01033)
-
(1998)
Math. Intelligencer
, vol.20
, Issue.2
, pp. 7-15
-
-
Smale, S.1
-
30
-
-
0035336208
-
-
W.J.H. Stortelder, J.J.B. de Swart, and J.D. Pintér, Finding elliptic Fekete points sets: two numerical solution approaches, J. Comput. Appl. Math. 130 (2001), no. 1-2, 205-216. MR1827981 (2002b:90137)
-
W.J.H. Stortelder, J.J.B. de Swart, and J.D. Pintér, Finding elliptic Fekete points sets: two numerical solution approaches, J. Comput. Appl. Math. 130 (2001), no. 1-2, 205-216. MR1827981 (2002b:90137)
-
-
-
-
31
-
-
84974288974
-
On the product of distances to a point set on a sphere
-
MR1018975 90j:11080
-
G. Wagner, On the product of distances to a point set on a sphere, J. Aust. Math. Soc., Ser. A 47 (1989), no. 3, 466-482. MR1018975 (90j:11080)
-
(1989)
J. Aust. Math. Soc., Ser. A
, vol.47
, Issue.3
, pp. 466-482
-
-
Wagner, G.1
-
32
-
-
84973999972
-
On means of distances on the surface of a sphere. II: Upper bounds
-
MR1159518 93b:52007
-
_, On means of distances on the surface of a sphere. II: Upper bounds, Pac J. Math. 154 (1992), no. 2, 381-396. MR1159518 (93b:52007)
-
(1992)
Pac J. Math
, vol.154
, Issue.2
, pp. 381-396
-
-
Wagner, G.1
|