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Lukashov, Alekseĭ Leonidovich

Co-Author Distance
Author ID: lukashov.alexei-leonidovich Recent zbMATH articles by "Lukashov, Alekseĭ Leonidovich"
Published as: Lukashov, A. L.; Lukashov, Alexey; Lukashov, A.; Lukashov, Alexey L.
External Links: Math-Net.Ru
Documents Indexed: 27 Publications since 1998, including 1 Additional arXiv Preprint
2 Contributions as Editor
Reviewing Activity: 333 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

18 Approximations and expansions (41-XX)
9 Functions of a complex variable (30-XX)
8 Harmonic analysis on Euclidean spaces (42-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

21 Publications have been cited 103 times in 83 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.
23
2012
Inequalities for the derivatives of rational functions on several intervals. Zbl 1088.42016
Lukashov, A. L.
18
2004
Advancements in mathematical sciences. Proceedings of the international conference on advancements in mathematical sciences, Antalya, Turkey, November 5–7, 2015. Zbl 1384.00005
13
2015
Circular parameters of polynomials that are orthogonal on several arcs of the unit circle. Zbl 1090.42013
Lukashov, A. L.
7
2004
Generating functions method for classical positive operators, their \(q\)-analogues and generalizations. Zbl 1348.41018
Dikmen, Akif Barbaros; Lukashov, Alexey
6
2016
On Chebyshev-Markov rational functions over several intervals. Zbl 0926.41012
Lukashov, A. L.
5
1998
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
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
Rational interpolation processes on two intervals. Zbl 1497.41011
Lukashov, A. L.
1
1998
On trigonometric polynomials deviating least from zero on an interval. Zbl 1273.41021
Lukashov, Alexey; Tyshkevich, Sergey
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
Determinant form and a test of convergence for the Newton-Padé approximations. Zbl 1275.41018
Lukashov, Alexey; Akal, Cevdet
1
2013
Exact solutions of some extremal problems of approximation theory. Zbl 1250.41016
Lukashov, A. L.
1
2012
A Bernstein-type inequality for derivatives of rational functions on two segments. Zbl 1395.41002
Lukashov, A. L.
1
1999
Newton-Padé approximations for multivariate functions. Zbl 1427.41004
Akal, C.; Lukashov, A.
1
2018
Fourth international conference on analysis and applied mathematics, ICAAM 2018, North Cyprus, Turkey, September 6–9, 2018. Zbl 1468.26002
1
2018
Newton-Padé approximations for multivariate functions. Zbl 1427.41004
Akal, C.; Lukashov, A.
1
2018
Fourth international conference on analysis and applied mathematics, ICAAM 2018, North Cyprus, Turkey, September 6–9, 2018. Zbl 1468.26002
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
6
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
13
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.
23
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.
18
2004
Circular parameters of polynomials that are orthogonal on several arcs of the unit circle. Zbl 1090.42013
Lukashov, A. L.
7
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.
5
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 92 Authors

12 Lukashov, Alekseĭ Leonidovich
6 Kalmykov, Sergeĭ Ivanovich
6 Ostrovska, Sofiya
6 Sarsenbi, Abdizhahan Manapovich
5 Turan, Mehmet
4 Kritskov, Leonid V.
4 Peherstorfer, Franz
4 Uskova, Natal’ya Borisovna
3 Baskakov, Anatoliĭ Grigor’evich
3 Krishtal, Ilya Arkadievich
3 Polyakov, Dmitriĭ Mikhaĭlovich
3 Szabados, Jozsef
3 Yilmaz, Övgü Gürel
2 Akturk, Mehmet Ali
2 Arestov, Vitaliĭ Vladimirovich
2 Dildabek, Gulnar
2 Eichinger, Benjamin
2 Et, Mikail
2 Ivanova, Marina B.
2 Kumar, Shrawan
2 Mathur, Neha
2 Mathur, Pankaj
2 Mishra, Vishnu Narayan
2 Nagy, Béla
2 Sadybekov, Makhmud A.
2 Shkalikov, Andreĭ Andreevich
2 Sri Ranga, Alagacone
2 Totik, Vilmos
2 Turmetov, Batirkhan Khudaybergenovich
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 Cabada, Alberto
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 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 Kirane, Mokhtar
1 Kroó, András
1 Kryakin, Yuri V.
1 Kutlay, Hadi
1 Lamblém, Regina Litz
1 Lukic, Milivoje
1 Maergoiz, Lev Sergeevich
1 Makhatova, Anar Kh.
1 Mendelev, Alexei S.
1 Miña-Díaz, Erwin
1 Mursaleen, Mohammad
1 Orazov, Issabek
1 Ozdemir, Yildirim
1 Pekönür, Esra
1 Potseĭko, Pavel Gennad’evich
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, Abdisalam A.
1 Sarsenbi, Abdusalam Abdizhakhanuly
1 Savaş, Ekrem
1 Şengül, Hacer
1 Shomanbayeva, Manat T.
1 Simanek, Brian Z.
1 Steinbauer, Robert
1 Terekhin, Pavel Aleksandrovich
1 Tojo, F. Adrián F.
1 Tyshkevich, Sergeĭ Viktorovich
1 Uzun, Meltem
1 Vladykina, Veronika Evgen’evna
1 Yakar, Ali
1 Yildirim, Ozgur
1 Young, Giorgio
all top 5

Cited in 46 Serials

10 Journal of Approximation Theory
6 Journal of Mathematical Sciences (New York)
4 Journal of Mathematical Analysis and Applications
3 Filomat
3 Differential Equations
3 Proceedings of the Steklov Institute of Mathematics
2 Applied Mathematics and Computation
2 Proceedings of the American Mathematical Society
2 Quaestiones Mathematicae
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 Methods in the Applied Sciences
1 Mathematical Notes
1 Moscow University Mathematics Bulletin
1 Periodica Mathematica Hungarica
1 Ukrainian Mathematical Journal
1 Journal of Differential Equations
1 Mathematische Nachrichten
1 Mathematica Slovaca
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Tamkang Journal of Mathematics
1 Constructive Approximation
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Russian Mathematics
1 Turkish Journal of Mathematics
1 Sbornik: Mathematics
1 Doklady Mathematics
1 Abstract and Applied Analysis
1 Positivity
1 Journal of Inequalities and Applications
1 Nonlinear Analysis. Modelling and Control
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
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Cited in 24 Fields

30 Approximations and expansions (41-XX)
19 Functions of a complex variable (30-XX)
19 Ordinary differential equations (34-XX)
13 Operator theory (47-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
10 Partial differential equations (35-XX)
5 Special functions (33-XX)
4 Potential theory (31-XX)
3 Real functions (26-XX)
3 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 Field theory and polynomials (12-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