Edit Profile (opens in new tab) Lukashov, Alekseĭ Leonidovich Co-Author Distance Author ID: lukashov.alexei-leonidovich Published as: Lukashov, A. L.; Lukashov, Alexey; Lukashov, A.; Lukashov, Alexey L. more...less External Links: Math-Net.Ru Documents Indexed: 27 Publications since 1998, including 1 Additional arXiv Preprint 2 Contributions as Editor Reviewing Activity: 327 Reviews Co-Authors: 15 Co-Authors with 18 Joint Publications 309 Co-Co-Authors all top 5 Co-Authors 11 single-authored 3 Akal, Cevdet 2 Akturk, Mehmet Ali 2 Ashyralyev, Allaberen 2 Dikmen, Akif Barbaros 2 Peherstorfer, Franz 2 Tyshkevich, Sergeĭ Viktorovich 1 Acar, Hülya 1 Başar, Feyzi 1 Kalmykov, Sergeĭ Ivanovich 1 Kopzhassarova, Asylzat A. 1 Malkowsky, Eberhard 1 Prokhorov, Dmitriĭ Vladimirovich 1 Sadybekov, Makhmud A. 1 Sarsenbi, Abdizhakhan M. 1 Szabados, Jozsef all top 5 Serials 4 Journal of Approximation Theory 2 Mathematical Notes 2 AIP Conference Proceedings 1 Analysis Mathematica 1 Journal of Mathematical Analysis and Applications 1 Periodica Mathematica Hungarica 1 Applied Mathematics and Computation 1 Canadian Journal of Mathematics 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Acta Mathematica Hungarica 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Russian Mathematics 1 St. Petersburg Mathematical Journal 1 Filomat 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Fundamental’naya i Prikladnaya Matematika 1 Abstract and Applied Analysis 1 Positivity 1 Journal of Inequalities and Applications 1 Journal of Computational Analysis and Applications 1 Computational Methods and Function Theory all top 5 Fields 19 Approximations and expansions (41-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Functions of a complex variable (30-XX) 4 Real functions (26-XX) 2 General and overarching topics; collections (00-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 90 times in 72 Documents Cited by ▼ Year ▼ Spectral properties of non-self-adjoint perturbations for a spectral problem with involution. Zbl 1259.34084 Kopzhassarova, Asylzat A.; Lukashov, Alexey L.; Sarsenbi, Abdizhakhan M. 20 2012 Inequalities for the derivatives of rational functions on several intervals. Zbl 1088.42016 Lukashov, A. L. 16 2004 Advancements in mathematical sciences. Proceedings of the international conference on advancements in mathematical sciences, Antalya, Turkey, November 5–7, 2015. Zbl 1384.00005 9 2015 Circular parameters of polynomials that are orthogonal on several arcs of the unit circle. Zbl 1090.42013 Lukashov, A. L. 6 2004 Zeros of polynomials orthogonal on two arcs of the unit circle. Zbl 1067.30008 Lukashov, A. L.; Peherstorfer, F. 5 2005 Extremal polynomials on arcs of the circle with zeros on these arcs. Zbl 1177.41020 Lukashov, A. L.; Tyshkevich, S. V. 5 2009 Generating functions method for classical positive operators, their \(q\)-analogues and generalizations. Zbl 1348.41018 Dikmen, Akif Barbaros; Lukashov, Alexey 5 2016 On Chebyshev-Markov rational functions over several intervals. Zbl 0926.41012 Lukashov, A. L. 4 1998 Automorphic orthogonal and extremal polynomials. Zbl 1042.42017 Lukashov, A. L.; Peherstorfer, F. 4 2003 The order of Lebesgue constant of Lagrange interpolation on several intervals. Zbl 1389.41006 Lukashov, A. L.; Szabados, J. 3 2016 The algebraic fractions of Chebyshev and Markov on several segments. Zbl 0916.41012 Lukashov, A. L. 2 1998 Weighted approximation by analogues of Bernstein operators for rational functions. Zbl 1324.41021 Dikmen, A. B.; Lukashov, A. 2 2014 Estimates for derivatives of rational functions and the fourth Zolotarev problem. Zbl 1181.26032 Lukashov, A. L. 2 2008 A Bernstein-type inequality for derivatives of rational functions on two segments. Zbl 1395.41002 Lukashov, A. L. 1 1999 Rational interpolation processes on two intervals. Zbl 1497.41011 Lukashov, A. L. 1 1998 Newton-Padé approximations for multivariate functions. Zbl 1427.41004 Akal, C.; Lukashov, A. 1 2018 Exact solutions of some extremal problems of approximation theory. Zbl 1250.41016 Lukashov, A. L. 1 2012 On trigonometric polynomials deviating least from zero on an interval. Zbl 1273.41021 Lukashov, Alexey; Tyshkevich, Sergey 1 2013 Determinant form and a test of convergence for the Newton-Padé approximations. Zbl 1275.41018 Lukashov, Alexey; Akal, Cevdet 1 2013 Scale of mean value multivariate Padé interpolations. (Scale of mean value multivariate Pade interpolations.) Zbl 1488.41020 Akal, Cevdet; Lukashov, Alexey 1 2017 Newton-Padé approximations for multivariate functions. Zbl 1427.41004 Akal, C.; Lukashov, A. 1 2018 Scale of mean value multivariate Padé interpolations. (Scale of mean value multivariate Pade interpolations.) Zbl 1488.41020 Akal, Cevdet; Lukashov, Alexey 1 2017 Generating functions method for classical positive operators, their \(q\)-analogues and generalizations. Zbl 1348.41018 Dikmen, Akif Barbaros; Lukashov, Alexey 5 2016 The order of Lebesgue constant of Lagrange interpolation on several intervals. Zbl 1389.41006 Lukashov, A. L.; Szabados, J. 3 2016 Advancements in mathematical sciences. Proceedings of the international conference on advancements in mathematical sciences, Antalya, Turkey, November 5–7, 2015. Zbl 1384.00005 9 2015 Weighted approximation by analogues of Bernstein operators for rational functions. Zbl 1324.41021 Dikmen, A. B.; Lukashov, A. 2 2014 On trigonometric polynomials deviating least from zero on an interval. Zbl 1273.41021 Lukashov, Alexey; Tyshkevich, Sergey 1 2013 Determinant form and a test of convergence for the Newton-Padé approximations. Zbl 1275.41018 Lukashov, Alexey; Akal, Cevdet 1 2013 Spectral properties of non-self-adjoint perturbations for a spectral problem with involution. Zbl 1259.34084 Kopzhassarova, Asylzat A.; Lukashov, Alexey L.; Sarsenbi, Abdizhakhan M. 20 2012 Exact solutions of some extremal problems of approximation theory. Zbl 1250.41016 Lukashov, A. L. 1 2012 Extremal polynomials on arcs of the circle with zeros on these arcs. Zbl 1177.41020 Lukashov, A. L.; Tyshkevich, S. V. 5 2009 Estimates for derivatives of rational functions and the fourth Zolotarev problem. Zbl 1181.26032 Lukashov, A. L. 2 2008 Zeros of polynomials orthogonal on two arcs of the unit circle. Zbl 1067.30008 Lukashov, A. L.; Peherstorfer, F. 5 2005 Inequalities for the derivatives of rational functions on several intervals. Zbl 1088.42016 Lukashov, A. L. 16 2004 Circular parameters of polynomials that are orthogonal on several arcs of the unit circle. Zbl 1090.42013 Lukashov, A. L. 6 2004 Automorphic orthogonal and extremal polynomials. Zbl 1042.42017 Lukashov, A. L.; Peherstorfer, F. 4 2003 A Bernstein-type inequality for derivatives of rational functions on two segments. Zbl 1395.41002 Lukashov, A. L. 1 1999 On Chebyshev-Markov rational functions over several intervals. Zbl 0926.41012 Lukashov, A. L. 4 1998 The algebraic fractions of Chebyshev and Markov on several segments. Zbl 0916.41012 Lukashov, A. L. 2 1998 Rational interpolation processes on two intervals. Zbl 1497.41011 Lukashov, A. L. 1 1998 all cited Publications top 5 cited Publications all top 5 Cited by 80 Authors 12 Lukashov, Alekseĭ Leonidovich 6 Sarsenbi, Abdizhahan Manapovich 5 Ostrovska, Sofiya 4 Kalmykov, Sergeĭ Ivanovich 4 Kritskov, Leonid V. 4 Peherstorfer, Franz 4 Turan, Mehmet 4 Uskova, Natal’ya Borisovna 3 Baskakov, Anatoliĭ Grigor’evich 3 Krishtal, Ilya Arkadievich 3 Szabados, Jozsef 2 Akturk, Mehmet Ali 2 Arestov, Vitaliĭ Vladimirovich 2 Dildabek, Gulnar 2 Et, Mikail 2 Ivanova, Marina B. 2 Kumar, Shrawan 2 Mathur, Neha 2 Mathur, Pankaj 2 Mishra, Vishnu Narayan 2 Polyakov, Dmitriĭ Mikhaĭlovich 2 Sadybekov, Makhmud A. 2 Sri Ranga, Alagacone 2 Totik, Vilmos 2 Turmetov, Batirkhan Khudaybergenovich 2 Yilmaz, Övgü Gürel 2 Yuditskii, Peter Meerovich 2 Zinchenko, Maxim 1 Akal, Cevdet 1 Altin, Yavuz 1 Ashirbayev, Nurgali K. 1 Ashirbayeva, Zhansaya 1 Ashyralyev, Allaberen 1 Babenko, Aleksandr Grigor’evich 1 Bayramov, E. B. 1 Bogatyrev, Andrei Borisovich 1 Bondarenko, Natalia P. 1 Chernets’ka, L. O. 1 Çolak, Rifat 1 Costa, Marisa S. 1 Crowdy, Darren Gregory 1 Deikalova, Marina Valer’evna 1 Dikmen, Akif Barbaros 1 Dubinin, Vladimir N. 1 Eichinger, Benjamin 1 Gesztesy, Fritz 1 Godoy, Eduardo Paciência 1 Golub, Anatoly P. 1 Granilshchikova, Ya. A. 1 Grigor’ev, O. A. 1 Iliyas, Mohammad 1 Isik, Mahmut 1 Khan, Asif 1 Kroó, András 1 Kryakin, Yuri V. 1 Lamblém, Regina Litz 1 Maergoiz, Lev Sergeevich 1 Makhatova, Anar Kh. 1 Mendelev, Alexei S. 1 Miña-Díaz, Erwin 1 Mursaleen, Mohammad 1 Nagy, Béla 1 Orazov, Issabek 1 Ozdemir, Yildirim 1 Patseika, P. G. 1 Pekönür, Esra 1 Pozharskiy, O. A. 1 Prokhorov, Dmitriĭ Vladimirovich 1 Rathour, Laxmi 1 Rovba, Evgeniĭ Alekseevich 1 Rybakova, N. N. 1 Sadybekov, Makhmud Abdysametovich 1 Sarsenbi, Abdusalam Abdizhakhanuly 1 Şengül, Hacer 1 Shkalikov, Andreĭ Andreevich 1 Shomanbayeva, Manat T. 1 Simanek, Brian Z. 1 Steinbauer, Robert 1 Terekhin, Pavel Aleksandrovich 1 Tyshkevich, Sergeĭ Viktorovich all top 5 Cited in 41 Serials 9 Journal of Approximation Theory 5 Journal of Mathematical Sciences (New York) 4 Journal of Mathematical Analysis and Applications 3 Differential Equations 3 Proceedings of the Steklov Institute of Mathematics 2 Proceedings of the American Mathematical Society 2 St. Petersburg Mathematical Journal 2 Computational Methods and Function Theory 2 Boundary Value Problems 1 Analysis Mathematica 1 Communications in Mathematical Physics 1 Mathematical Notes 1 Moscow University Mathematics Bulletin 1 Periodica Mathematica Hungarica 1 Ukrainian Mathematical Journal 1 Applied Mathematics and Computation 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Russian Mathematics 1 Turkish Journal of Mathematics 1 Filomat 1 Sbornik: Mathematics 1 Abstract and Applied Analysis 1 Positivity 1 Journal of Inequalities and Applications 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Eurasian Mathematical Journal 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Journal of Function Spaces 1 Research in the Mathematical Sciences 1 Transactions of A. Razmadze Mathematical Institute 1 Korean Journal of Mathematics all top 5 Cited in 23 Fields 28 Approximations and expansions (41-XX) 15 Functions of a complex variable (30-XX) 14 Ordinary differential equations (34-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 9 Operator theory (47-XX) 8 Partial differential equations (35-XX) 6 Special functions (33-XX) 4 Potential theory (31-XX) 3 Real functions (26-XX) 2 Sequences, series, summability (40-XX) 2 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Citations by Year