Edit Profile Nikolov, Geno P. Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 19 single-authored 6 Shadrin, Alexei 5 Uluchev, Rumen K. 4 Boyanov, Borislav Dechev 4 Gushev, Vesselin 3 Dimitrov, Dimitar K. 3 Hunter, David B. 2 Aleksov, Dragomir 2 Avdzhieva, Ana 2 Georgiev, Krassimir 2 Haußmann, Werner 2 Ivanov, Kamen G. 2 Köhler, Peter 2 Pillwein, Veronika 1 Aleksandrov, Aleksandr Danilovich 1 Aleksandrov, Aleksandr Grigor’evich 1 Alexandrov, A. D. 1 Boyanov, Todor P. 1 Dietert, Helge 1 Dimova, Stefka N. 1 Dryanov, Dimiter P. 1 Kolkovska, Natalia T. 1 Milev, Lozko B. 1 Naidenov, Nikola 1 Nikolov, Peter B. 1 Petrova, Guergana 1 Simian, Corina all top 5 Serials 8 Journal of Approximation Theory 5 Journal of Mathematical Analysis and Applications 5 East Journal on Approximations 4 Journal of Computational and Applied Mathematics 2 Mathematics of Computation 2 SIAM Journal on Mathematical Analysis 2 Lecture Notes in Computer Science 1 Canadian Journal of Mathematics 1 Mathematische Nachrichten 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Constructive Approximation 1 Mathematica Balkanica. New Series 1 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika 1 Serdica 1 Journal of Inequalities and Applications 1 Mathematical Inequalities & Applications 1 Archives of Inequalities and Applications all top 5 Fields 48 Approximations and expansions (41-XX) 15 Numerical analysis (65-XX) 8 Special functions (33-XX) 7 Real functions (26-XX) 5 General and overarching topics; collections (00-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Functions of a complex variable (30-XX) 1 History and biography (01-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications 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 0946.41019Hunter, David; Nikolov, Geno 16 2000 Sharp bounds for the extreme zeros of classical orthogonal polynomials. Zbl 1206.33008Dimitrov, Dimitar K.; Nikolov, Geno P. 15 2010 Inequalities for ultraspherical polynomials. Proof of a conjecture of I. Raşa. Zbl 1305.41017Nikolov, Geno 10 2014 Duffin and Schaeffer type inequality for ultraspherical polynomials. Zbl 0966.26008Bojanov, Borislav; Nikolov, Geno 7 1996 Gaussian quadrature of Chebyshev polynomials. Zbl 0956.41018Hunter, D. B.; Nikolov, Geno 6 1998 On certain definite quadrature formulae. Zbl 0861.41027Nikolov, Geno 6 1996 An extension of an inequality of Duffin and Schaeffer. Zbl 1068.41028Nikolov, Geno 5 2005 Markov-type inequalities in the \(L_ 2\)-norms induced by the Tchebycheff weights. Zbl 1062.41010Nikolov, Geno 5 2003 Inequalities of Duffin-Schaeffer type. Zbl 0997.41007Nikolov, Geno 5 2001 On the \(L_{2}\) Markov inequality with Laguerre weight. Zbl 1369.41017Nikolov, Geno; Shadrin, Alexei 4 2017 On the Markov inequality in the \(L_2\)-norm with the Gegenbauer weight. Zbl 06588614Aleksov, D.; Nikolov, G.; Shadrin, A. 4 2016 Inequalities of Duffin-Schaeffer type. II. Zbl 1141.41002Nikolov, Geno 4 2005 On certain Duffin and Schaeffer type inequalities. Zbl 0903.41005Nikolov, Geno 4 1998 Error bounds for optimal definite quadrature formulae. Zbl 0828.41015Köhler, Peter; Nikolov, Geno 4 1995 Error bounds for Gauss type quadrature formulae related to spaces of splines with equidistant knots. Zbl 0828.41012Köhler, Peter; Nikolov, Geno 4 1995 Asymptotically optimal definite quadrature formulae. Zbl 0850.41018Nikolov, G. 4 1995 Cubature formulae for the disk using Radon projections. Zbl 1217.41033Nikolov, Geno 3 2008 Bivariate polynomials of least deviation from zero. Zbl 0972.41008Bojanov, Borislav D.; Haussmann, Werner; Nikolov, Geno P. 3 2001 Best one-sided \(L^1\)-approximation by blending functions. Zbl 0949.41017Bojanov, 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 1410.76347Colagrossi, A.; Nikolov, G.; Durante, D.; Marrone, S.; Souto-Iglesias, A. 2 2019 Markov \(L_2\) inequality with the Gegenbauer weight. Zbl 1380.41006Aleksov, Dragomir; Nikolov, Geno 2 2018 An extremal property of Hermite polynomials. Zbl 1042.41007Nikolov, Geno 2 2004 An inequality for polynomials with elliptic majorant. Zbl 0942.41007Nikolov, Geno 2 1999 Monotonicity and stopping rules for compound Gauss-type quadrature formulae. Zbl 0912.41017Förster, K.-J.; Köhler, P.; Nikolov, G. 2 1998 On the inequality of I. Schur. Zbl 0889.41009Milev, Lozko; Nikolov, Geno 2 1997 On the monotonicity of sequences of quadrature formulae. Zbl 0741.41024Nikolov, Geno 2 1992 Comparison of Birkhoff type quadrature formulae. Zbl 0698.65015Boyanov, Borislav; Nikolov, Geno 2 1990 Existence and uniqueness of Hermite-Birkhoff Gaussian quadrature formulas. Zbl 0684.41020Nikolov, G. 2 1989 On the Markov inequality in the \(L_2\)-norm with the Gegenbauer weight. Zbl 1443.41008Nikolov, G.; Shadrin, A. 1 2019 Markov \(L_2\)-inequality with the Laguerre weight. Zbl 1445.41004Nikolov, Geno; Shadrin, Alexei 1 2018 An extension of Turán’s inequality. Zbl 1306.41004Nikolov, 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 1279.41002Nikolov, Geno (ed.); Uluchev, Rumen (ed.) 1 2012 On the behavior of Gegenbauer polynomials in the complex plane. Zbl 1267.30015Nikolov, Geno; Alexandrov, Alexander 1 2012 An extension of an inequality of I. Schur. Zbl 1075.41010Nikolov, Geno 1 2005 Some cubature formulae using mixed type data. Zbl 0990.41016Gushev, Vesselin; Nikolov, Geno 1 2001 On the weights of nearly Gaussian quadrature formulae. Zbl 1085.41512Nikolov, Geno 1 2001 Gegenbauer weight functions admitting \(L_2\) Duffin and Schaeffer type inequalities. Zbl 0939.41010Hunter, David B.; Nikolov, Geno 1 1999 Gaussian quadrature formulae for splines. Zbl 0791.41024Nikolov, Geno 1 1993 A comparison theorem in the theory of quadrature formulas. Zbl 0668.41022Nikolov, Geno P. 1 1988 A comparison theorem for Tchebycheff polynomials. Zbl 0649.41002Nikolov, 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 1410.76347Colagrossi, 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 1443.41008Nikolov, G.; Shadrin, A. 1 2019 Markov \(L_2\) inequality with the Gegenbauer weight. Zbl 1380.41006Aleksov, Dragomir; Nikolov, Geno 2 2018 Markov \(L_2\)-inequality with the Laguerre weight. Zbl 1445.41004Nikolov, Geno; Shadrin, Alexei 1 2018 On the \(L_{2}\) Markov inequality with Laguerre weight. Zbl 1369.41017Nikolov, Geno; Shadrin, Alexei 4 2017 On the Markov inequality in the \(L_2\)-norm with the Gegenbauer weight. Zbl 06588614Aleksov, D.; Nikolov, G.; Shadrin, A. 4 2016 An extension of Turán’s inequality. Zbl 1306.41004Nikolov, Geno; Pillwein, Veronika 1 2015 Inequalities for ultraspherical polynomials. Proof of a conjecture of I. Raşa. Zbl 1305.41017Nikolov, Geno 10 2014 Constructive theory of functions. In memory of Borislav Bojanov. Papers from the international conference, Sozopol, Bulgaria, June 3–10, 2010. Zbl 1279.41002Nikolov, Geno (ed.); Uluchev, Rumen (ed.) 1 2012 On the behavior of Gegenbauer polynomials in the complex plane. Zbl 1267.30015Nikolov, Geno; Alexandrov, Alexander 1 2012 Sharp bounds for the extreme zeros of classical orthogonal polynomials. Zbl 1206.33008Dimitrov, Dimitar K.; Nikolov, Geno P. 15 2010 Cubature formulae for the disk using Radon projections. Zbl 1217.41033Nikolov, Geno 3 2008 An extension of an inequality of Duffin and Schaeffer. Zbl 1068.41028Nikolov, Geno 5 2005 Inequalities of Duffin-Schaeffer type. II. Zbl 1141.41002Nikolov, Geno 4 2005 An extension of an inequality of I. Schur. Zbl 1075.41010Nikolov, Geno 1 2005 An extremal property of Hermite polynomials. Zbl 1042.41007Nikolov, Geno 2 2004 Markov-type inequalities in the \(L_ 2\)-norms induced by the Tchebycheff weights. Zbl 1062.41010Nikolov, Geno 5 2003 Inequalities of Duffin-Schaeffer type. Zbl 0997.41007Nikolov, Geno 5 2001 Bivariate polynomials of least deviation from zero. Zbl 0972.41008Bojanov, Borislav D.; Haussmann, Werner; Nikolov, Geno P. 3 2001 Some cubature formulae using mixed type data. Zbl 0990.41016Gushev, Vesselin; Nikolov, Geno 1 2001 On the weights of nearly Gaussian quadrature formulae. Zbl 1085.41512Nikolov, Geno 1 2001 On the error term of symmetric Gauss-Lobatto quadrature formulae for analytic functions. Zbl 0946.41019Hunter, David; Nikolov, Geno 16 2000 Best one-sided \(L^1\)-approximation by blending functions. Zbl 0949.41017Bojanov, Borislav D.; Dryanov, Dimiter P.; Haußmann, Werner; Nikolov, Geno P. 3 1999 An inequality for polynomials with elliptic majorant. Zbl 0942.41007Nikolov, Geno 2 1999 Gegenbauer weight functions admitting \(L_2\) Duffin and Schaeffer type inequalities. Zbl 0939.41010Hunter, David B.; Nikolov, Geno 1 1999 Gaussian quadrature of Chebyshev polynomials. Zbl 0956.41018Hunter, D. B.; Nikolov, Geno 6 1998 On certain Duffin and Schaeffer type inequalities. Zbl 0903.41005Nikolov, Geno 4 1998 Monotonicity and stopping rules for compound Gauss-type quadrature formulae. Zbl 0912.41017Förster, K.-J.; Köhler, P.; Nikolov, G. 2 1998 On the inequality of I. Schur. Zbl 0889.41009Milev, Lozko; Nikolov, Geno 2 1997 Duffin and Schaeffer type inequality for ultraspherical polynomials. Zbl 0966.26008Bojanov, Borislav; Nikolov, Geno 7 1996 On certain definite quadrature formulae. Zbl 0861.41027Nikolov, Geno 6 1996 Error bounds for optimal definite quadrature formulae. Zbl 0828.41015Köhler, Peter; Nikolov, Geno 4 1995 Error bounds for Gauss type quadrature formulae related to spaces of splines with equidistant knots. Zbl 0828.41012Köhler, Peter; Nikolov, Geno 4 1995 Asymptotically optimal definite quadrature formulae. Zbl 0850.41018Nikolov, G. 4 1995 Gaussian quadrature formulae for splines. Zbl 0791.41024Nikolov, Geno 1 1993 On the monotonicity of sequences of quadrature formulae. Zbl 0741.41024Nikolov, Geno 2 1992 Comparison of Birkhoff type quadrature formulae. Zbl 0698.65015Boyanov, Borislav; Nikolov, Geno 2 1990 Existence and uniqueness of Hermite-Birkhoff Gaussian quadrature formulas. Zbl 0684.41020Nikolov, G. 2 1989 A comparison theorem in the theory of quadrature formulas. Zbl 0668.41022Nikolov, Geno P. 1 1988 A comparison theorem for Tchebycheff polynomials. Zbl 0649.41002Nikolov, Geno; Uluchev, Rumen 1 1988 all cited Publications top 5 cited Publications 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 all top 5 Cited in 38 Serials 13 Journal of Computational and Applied Mathematics 12 Journal of Approximation Theory 6 Journal of Mathematical Analysis and Applications 6 Mathematics of Computation 5 Results in Mathematics 4 Applied Mathematics and Computation 4 Numerische Mathematik 3 Calcolo 3 Proceedings of the American Mathematical Society 3 Numerical Algorithms 3 Positivity 2 Computer Methods in Applied Mechanics and Engineering 2 BIT 1 Computers and Fluids 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Periodica Mathematica Hungarica 1 Mathematische Nachrichten 1 Mathematics of Operations Research 1 Advances in Applied Mathematics 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Constructive Approximation 1 SIAM Journal on Mathematical Analysis 1 Experimental Mathematics 1 Journal of Mathematical Sciences (New York) 1 ETNA. Electronic Transactions on Numerical Analysis 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Journal of Inequalities and Applications 1 Journal of Shanghai University 1 Central European Journal of Mathematics 1 Analysis and Applications (Singapore) 1 Journal of Function Spaces and Applications 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Classical Analysis all top 5 Cited in 18 Fields 56 Approximations and expansions (41-XX) 39 Numerical analysis (65-XX) 24 Special functions (33-XX) 12 Real functions (26-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 4 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year