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Nikolov, Geno P.

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Author ID: nikolov.geno-p Recent zbMATH articles by "Nikolov, Geno P."
Published as: Nikolov, G.; Nikolov, Geno; Nikolov, Geno P.
Documents Indexed: 64 Publications since 1981, including 5 Books
Reviewing Activity: 22 Reviews

Publications by Year

Citations contained in zbMATH

40 Publications have been cited 142 times in 94 Documents Cited by Year
On the error term of symmetric Gauss-Lobatto quadrature formulae for analytic functions. Zbl 0946.41019
Hunter, David; Nikolov, Geno
16
2000
Sharp bounds for the extreme zeros of classical orthogonal polynomials. Zbl 1206.33008
Dimitrov, Dimitar K.; Nikolov, Geno P.
15
2010
Inequalities for ultraspherical polynomials. Proof of a conjecture of I. Raşa. Zbl 1305.41017
Nikolov, Geno
10
2014
Duffin and Schaeffer type inequality for ultraspherical polynomials. Zbl 0966.26008
Bojanov, Borislav; Nikolov, Geno
7
1996
Gaussian quadrature of Chebyshev polynomials. Zbl 0956.41018
Hunter, D. B.; Nikolov, Geno
6
1998
On certain definite quadrature formulae. Zbl 0861.41027
Nikolov, Geno
6
1996
An extension of an inequality of Duffin and Schaeffer. Zbl 1068.41028
Nikolov, Geno
5
2005
Markov-type inequalities in the \(L_ 2\)-norms induced by the Tchebycheff weights. Zbl 1062.41010
Nikolov, Geno
5
2003
Inequalities of Duffin-Schaeffer type. Zbl 0997.41007
Nikolov, Geno
5
2001
On the \(L_{2}\) Markov inequality with Laguerre weight. Zbl 1369.41017
Nikolov, Geno; Shadrin, Alexei
4
2017
On the Markov inequality in the \(L_2\)-norm with the Gegenbauer weight. Zbl 06588614
Aleksov, D.; Nikolov, G.; Shadrin, A.
4
2016
Inequalities of Duffin-Schaeffer type. II. Zbl 1141.41002
Nikolov, Geno
4
2005
On certain Duffin and Schaeffer type inequalities. Zbl 0903.41005
Nikolov, Geno
4
1998
Error bounds for optimal definite quadrature formulae. Zbl 0828.41015
Köhler, Peter; Nikolov, Geno
4
1995
Error bounds for Gauss type quadrature formulae related to spaces of splines with equidistant knots. Zbl 0828.41012
Köhler, Peter; Nikolov, Geno
4
1995
Asymptotically optimal definite quadrature formulae. Zbl 0850.41018
Nikolov, G.
4
1995
Cubature formulae for the disk using Radon projections. Zbl 1217.41033
Nikolov, Geno
3
2008
Bivariate polynomials of least deviation from zero. Zbl 0972.41008
Bojanov, Borislav D.; Haussmann, Werner; Nikolov, Geno P.
3
2001
Best one-sided \(L^1\)-approximation by blending functions. Zbl 0949.41017
Bojanov, Borislav D.; Dryanov, Dimiter P.; Haußmann, Werner; Nikolov, Geno P.
3
1999
Viscous flow past a cylinder close to a free surface: benchmarks with steady, periodic and metastable responses, solved by meshfree and mesh-based schemes. Zbl 1410.76347
Colagrossi, A.; Nikolov, G.; Durante, D.; Marrone, S.; Souto-Iglesias, A.
2
2019
Markov \(L_2\) inequality with the Gegenbauer weight. Zbl 1380.41006
Aleksov, Dragomir; Nikolov, Geno
2
2018
An extremal property of Hermite polynomials. Zbl 1042.41007
Nikolov, Geno
2
2004
An inequality for polynomials with elliptic majorant. Zbl 0942.41007
Nikolov, Geno
2
1999
Monotonicity and stopping rules for compound Gauss-type quadrature formulae. Zbl 0912.41017
Förster, K.-J.; Köhler, P.; Nikolov, G.
2
1998
On the inequality of I. Schur. Zbl 0889.41009
Milev, Lozko; Nikolov, Geno
2
1997
On the monotonicity of sequences of quadrature formulae. Zbl 0741.41024
Nikolov, Geno
2
1992
Comparison of Birkhoff type quadrature formulae. Zbl 0698.65015
Boyanov, Borislav; Nikolov, Geno
2
1990
Existence and uniqueness of Hermite-Birkhoff Gaussian quadrature formulas. Zbl 0684.41020
Nikolov, G.
2
1989
On the Markov inequality in the \(L_2\)-norm with the Gegenbauer weight. Zbl 1443.41008
Nikolov, G.; Shadrin, A.
1
2019
Markov \(L_2\)-inequality with the Laguerre weight. Zbl 1445.41004
Nikolov, Geno; Shadrin, Alexei
1
2018
An extension of Turán’s inequality. Zbl 1306.41004
Nikolov, Geno; Pillwein, Veronika
1
2015
Constructive theory of functions. In memory of Borislav Bojanov. Papers from the international conference, Sozopol, Bulgaria, June 3–10, 2010. Zbl 1279.41002
Nikolov, Geno (ed.); Uluchev, Rumen (ed.)
1
2012
On the behavior of Gegenbauer polynomials in the complex plane. Zbl 1267.30015
Nikolov, Geno; Alexandrov, Alexander
1
2012
An extension of an inequality of I. Schur. Zbl 1075.41010
Nikolov, Geno
1
2005
Some cubature formulae using mixed type data. Zbl 0990.41016
Gushev, Vesselin; Nikolov, Geno
1
2001
On the weights of nearly Gaussian quadrature formulae. Zbl 1085.41512
Nikolov, Geno
1
2001
Gegenbauer weight functions admitting \(L_2\) Duffin and Schaeffer type inequalities. Zbl 0939.41010
Hunter, David B.; Nikolov, Geno
1
1999
Gaussian quadrature formulae for splines. Zbl 0791.41024
Nikolov, Geno
1
1993
A comparison theorem in the theory of quadrature formulas. Zbl 0668.41022
Nikolov, Geno P.
1
1988
A comparison theorem for Tchebycheff polynomials. Zbl 0649.41002
Nikolov, Geno; Uluchev, Rumen
1
1988
Viscous flow past a cylinder close to a free surface: benchmarks with steady, periodic and metastable responses, solved by meshfree and mesh-based schemes. Zbl 1410.76347
Colagrossi, A.; Nikolov, G.; Durante, D.; Marrone, S.; Souto-Iglesias, A.
2
2019
On the Markov inequality in the \(L_2\)-norm with the Gegenbauer weight. Zbl 1443.41008
Nikolov, G.; Shadrin, A.
1
2019
Markov \(L_2\) inequality with the Gegenbauer weight. Zbl 1380.41006
Aleksov, Dragomir; Nikolov, Geno
2
2018
Markov \(L_2\)-inequality with the Laguerre weight. Zbl 1445.41004
Nikolov, Geno; Shadrin, Alexei
1
2018
On the \(L_{2}\) Markov inequality with Laguerre weight. Zbl 1369.41017
Nikolov, Geno; Shadrin, Alexei
4
2017
On the Markov inequality in the \(L_2\)-norm with the Gegenbauer weight. Zbl 06588614
Aleksov, D.; Nikolov, G.; Shadrin, A.
4
2016
An extension of Turán’s inequality. Zbl 1306.41004
Nikolov, Geno; Pillwein, Veronika
1
2015
Inequalities for ultraspherical polynomials. Proof of a conjecture of I. Raşa. Zbl 1305.41017
Nikolov, Geno
10
2014
Constructive theory of functions. In memory of Borislav Bojanov. Papers from the international conference, Sozopol, Bulgaria, June 3–10, 2010. Zbl 1279.41002
Nikolov, Geno (ed.); Uluchev, Rumen (ed.)
1
2012
On the behavior of Gegenbauer polynomials in the complex plane. Zbl 1267.30015
Nikolov, Geno; Alexandrov, Alexander
1
2012
Sharp bounds for the extreme zeros of classical orthogonal polynomials. Zbl 1206.33008
Dimitrov, Dimitar K.; Nikolov, Geno P.
15
2010
Cubature formulae for the disk using Radon projections. Zbl 1217.41033
Nikolov, Geno
3
2008
An extension of an inequality of Duffin and Schaeffer. Zbl 1068.41028
Nikolov, Geno
5
2005
Inequalities of Duffin-Schaeffer type. II. Zbl 1141.41002
Nikolov, Geno
4
2005
An extension of an inequality of I. Schur. Zbl 1075.41010
Nikolov, Geno
1
2005
An extremal property of Hermite polynomials. Zbl 1042.41007
Nikolov, Geno
2
2004
Markov-type inequalities in the \(L_ 2\)-norms induced by the Tchebycheff weights. Zbl 1062.41010
Nikolov, Geno
5
2003
Inequalities of Duffin-Schaeffer type. Zbl 0997.41007
Nikolov, Geno
5
2001
Bivariate polynomials of least deviation from zero. Zbl 0972.41008
Bojanov, Borislav D.; Haussmann, Werner; Nikolov, Geno P.
3
2001
Some cubature formulae using mixed type data. Zbl 0990.41016
Gushev, Vesselin; Nikolov, Geno
1
2001
On the weights of nearly Gaussian quadrature formulae. Zbl 1085.41512
Nikolov, Geno
1
2001
On the error term of symmetric Gauss-Lobatto quadrature formulae for analytic functions. Zbl 0946.41019
Hunter, David; Nikolov, Geno
16
2000
Best one-sided \(L^1\)-approximation by blending functions. Zbl 0949.41017
Bojanov, Borislav D.; Dryanov, Dimiter P.; Haußmann, Werner; Nikolov, Geno P.
3
1999
An inequality for polynomials with elliptic majorant. Zbl 0942.41007
Nikolov, Geno
2
1999
Gegenbauer weight functions admitting \(L_2\) Duffin and Schaeffer type inequalities. Zbl 0939.41010
Hunter, David B.; Nikolov, Geno
1
1999
Gaussian quadrature of Chebyshev polynomials. Zbl 0956.41018
Hunter, D. B.; Nikolov, Geno
6
1998
On certain Duffin and Schaeffer type inequalities. Zbl 0903.41005
Nikolov, Geno
4
1998
Monotonicity and stopping rules for compound Gauss-type quadrature formulae. Zbl 0912.41017
Förster, K.-J.; Köhler, P.; Nikolov, G.
2
1998
On the inequality of I. Schur. Zbl 0889.41009
Milev, Lozko; Nikolov, Geno
2
1997
Duffin and Schaeffer type inequality for ultraspherical polynomials. Zbl 0966.26008
Bojanov, Borislav; Nikolov, Geno
7
1996
On certain definite quadrature formulae. Zbl 0861.41027
Nikolov, Geno
6
1996
Error bounds for optimal definite quadrature formulae. Zbl 0828.41015
Köhler, Peter; Nikolov, Geno
4
1995
Error bounds for Gauss type quadrature formulae related to spaces of splines with equidistant knots. Zbl 0828.41012
Köhler, Peter; Nikolov, Geno
4
1995
Asymptotically optimal definite quadrature formulae. Zbl 0850.41018
Nikolov, G.
4
1995
Gaussian quadrature formulae for splines. Zbl 0791.41024
Nikolov, Geno
1
1993
On the monotonicity of sequences of quadrature formulae. Zbl 0741.41024
Nikolov, Geno
2
1992
Comparison of Birkhoff type quadrature formulae. Zbl 0698.65015
Boyanov, Borislav; Nikolov, Geno
2
1990
Existence and uniqueness of Hermite-Birkhoff Gaussian quadrature formulas. Zbl 0684.41020
Nikolov, G.
2
1989
A comparison theorem in the theory of quadrature formulas. Zbl 0668.41022
Nikolov, Geno P.
1
1988
A comparison theorem for Tchebycheff polynomials. Zbl 0649.41002
Nikolov, Geno; Uluchev, Rumen
1
1988
all top 5

Cited by 98 Authors

18 Nikolov, Geno P.
14 Spalević, Miodrag M.
7 Milovanović, Gradimir V.
7 Pejčev, Aleksandar V.
6 Dimitrov, Dimitar K.
5 Barton, Michael H.
4 Calo, Victor Manuel
4 Rasa, Ioan
4 Shadrin, Alexei
3 Area, Iván
3 Driver, Kathy A.
3 Georgieva, Irina
3 Godoy, Eduardo Paciência
3 Hofreither, Clemens
3 Naidenov, Nikola
3 Pillwein, Veronika
3 Pranic, Miroslav S.
2 Abel, Ulrich
2 Ait-Haddou, Rachid
2 Aleksov, Dragomir
2 Boyanov, Borislav Dechev
2 Cvetković, Aleksandar S.
2 Djukić, Dušan Lj.
2 Dryanov, Dimiter P.
2 Gavrea, Ioan
2 Hunter, David B.
2 Ivan, Mircea Dumitru
2 Jordaan, Kerstin
2 Milev, Lozko B.
2 Muldoon, Martin E.
2 Paschoa, Vanessa G.
2 Peherstorfer, Franz
2 Petrov, Petar P.
2 Rafaeli, Fernando Rodrigo
2 Segura, Javier
2 Smith, Harry V.
2 Stanić, Marija P.
2 Tomović, Tatjana V.
2 Xu, Yuan
1 Aleksandrov, Aleksandr Grigor’evich
1 Alexandrov, A. D.
1 Alzer, Horst
1 Arestov, Vitaliĭ Vladimirovich
1 Avdzhieva, Ana
1 Ayyildiz, M.
1 Calabró, Francesco
1 Choi, U Jin
1 Chrétien, Stéphane
1 Colagrossi, Andrea
1 Darses, Sébastien
1 de Klerk, Etienne
1 Deikalova, Marina V.
1 Di Mascio, Andrea
1 Dietert, Helge
1 Djukić, R. M. Mutavdžić
1 Dos Santos, Eliel J. C.
1 Ezzirani, Abdelkrim
1 Gawronski, Wolfgang
1 Giannopoulou, O.
1 Gil, Amparo
1 Guessab, Allal
1 Gushev, Vesselin
1 Harris, Lawrence A.
1 Hashemiparast, S. M.
1 Hatami, Sara
1 Hiemstra, René R.
1 Holhoş, Adrian
1 Horváth, Ágota P.
1 Huang, Daren
1 Hughes, Thomas J. R.
1 Iserles, Arieh
1 Kim, Philsu
1 Kirby, Robert M. II
1 Kosinka, Jiří
1 Koutschan, Christoph
1 Kushnirevych, Vitaliy
1 Laurent, Monique
1 Leng, Tuo
1 Liu, Changying
1 Liu, Rong
1 Mascia, Carla
1 Moale, Ionela
1 Neuschel, Thorsten
1 Nikolov, Georgi St.
1 Notaris, Sotirios E.
1 Ozbulut, M.
1 Rahman, Qazi Ibadur
1 Saydam, A. Z.
1 Schillinger, Dominik
1 Schmeisser, Gerhard
1 Shateyi, Stanford
1 Sherwin, Spencer J.
1 Temme, Nico M.
1 Thanatipanonda, Thotsaporn (Aek)
1 Vinogradov, Oleg Leonidovich
1 Wu, Xinyuan
1 Xu, Kuan
1 Yuan, Jun

Citations by Year