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Popov, Vasil Atanasov

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Author ID: popov.vasil-a Recent zbMATH articles by "Popov, Vasil Atanasov"
Published as: Popov, V.; Popov, V. A.; Popov, Vasil; Popov, Vasil A.
External Links: MGP · Wikidata
Documents Indexed: 114 Publications since 1965, including 4 Books
Reviewing Activity: 6 Reviews
Biographic References: 1 Publication
all top 5

Serials

19 Doklady Bolgarskoĭ Akademii Nauk
9 Godishnik na Sofiĭskiya Universitet. Matematicheski Fakultet
7 Serdica
5 B”lgarskata Akademiya na Naukite. Izvestiya na Matematiceskiya Institut
4 Godishnik na Visshite Tekhnicheski Uchebni Zavedeniya, Matematika
3 Acta Mathematica Academiae Scientiarum Hungaricae
3 Mathematical Notes
3 Matematicheskie Zametki
2 Journal of Approximation Theory
2 Matematicheskiĭ Sbornik. Novaya Seriya
2 Studia Scientiarum Mathematicarum Hungarica
2 PLISKA. Studia Mathematica Bulgarica
2 Mathematica Balkanica. New Series
2 Mathematics of the USSR, Sbornik
2 Encyclopedia of Mathematics and Its Applications
2 Proceedings of the Steklov Institute of Mathematics
2 Trudy Matematicheskogo Instituta Imeni V. A. Steklova
2 Godishnik na Sofiskiya Universitet. Fakultet po Matematika i Mekhanika
2 Mathematica
1 Mathematica Balkanica
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 American Journal of Mathematics
1 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. L’Analyse Numérique et la Théorie de l’Approximation
1 Teoretichna i Prilozhna Mekhanika
1 Transactions of the American Mathematical Society
1 Constructive Approximation
1 SIAM Journal on Mathematical Analysis
1 U.S.S.R. Computational Mathematics and Mathematical Physics
1 Journal of Approximation Theory and its Applications
1 General Topology and its Applications
1 Revue d’Analyse Numérique et de la Théorie de l’Approximation

Publications by Year

Citations contained in zbMATH

50 Publications have been cited 526 times in 421 Documents Cited by Year
Compression of wavelet decompositions. Zbl 0764.41024
DeVore, Ronald A.; Jawerth, Björn; Popov, Vasil
119
1992
Rational approximation of real functions. Zbl 0644.41010
Petrushev, P. P.; Popov, V. A.
111
1987
Interpolation of Besov spaces. Zbl 0646.46030
Devore, Ronald A.; Popov, Vasil A.
86
1988
The averaged moduli of smoothness. Applications in numerical methods and approximation. Transl. ed. by G. M. Phillips. Zbl 0653.65002
Sendov, Blagovest; Popov, Vasil A.
37
1988
Interpolation spaces and nonlinear approximation. Zbl 0652.46054
DeVore, R. A.; Popov, V. A.
17
1988
Averaged moduli of smoothness. (Usredneni moduli na gladkost). Zbl 0542.41018
Sendov, Blagovest; Popov, Vasil A.
15
1983
Uniform rational approximation of the class \(V_r\) and its applications. Zbl 0343.41015
Popov, V. A.
12
1977
On approximation by spline functions. Zbl 0246.41016
Freud, G.; Popov, V.
12
1972
A perfect map need not preserve a \(G_\delta\)-diagonal. Zbl 0343.54035
Popov, V.
8
1977
On the rational approximation of functions of the class V\(_r\). Zbl 0276.41007
Popov, V. A.
8
1974
On the connection between rational and spline approximation. Zbl 0325.41010
Popov, V. A.
7
1974
On a general localization theorem and some applications in the theory of rational approximation. Zbl 0276.41006
Popov, V. A.; Szabados, Jozsef
6
1974
Einige Fragen, die mit der Approximation durch Spline-Funktionen und Polynome zusammenhängen. Zbl 0201.39601
Freud, G.; Popov, V. A.
5
1970
Rational approximation of real functions. Reprint of the 1987 hardback edition. Zbl 1209.41002
Petrushev, P. P.; Popov, V. A.
4
2011
Interpolation of approximation spaces. Zbl 0708.46059
DeVore, R. A.; Popov, V. A.
4
1988
Free multivariate splines. Zbl 0624.41012
DeVore, Ronald A.; Popov, Vasil A.
4
1987
On the connection between rational uniform approximation and polynomial \(L_ p\) approximation of functions. Zbl 0483.41010
Popov, V. A.
4
1980
Steckin’s type theorems for onesided trigonometrical and spline approximation. Zbl 0402.41003
Popov, V. A.; Andreev, A. S.
4
1978
Converse theorem for the onesided trigonometrical approximations. Zbl 0381.42004
Popov, V. A.
4
1977
On a generalization of Jackson’s theorem for best approximation. Zbl 0266.41013
Sendov, Bl.; Popov, V. A.
4
1973
Approximation of convex sets. Zbl 0223.52001
Popov, Vasil A.
4
1970
Convergence of the derivatives of positive linear operators. Zbl 0223.46029
Sendov, Blagovest; Popov, Vasil A.
4
1970
Iterative methods for computation of all multiple roots of an algebraic polynomial. Zbl 0745.65031
Kyurkchiev, Nikolaj; Andreev, Andrej; Popov, Vasil
3
1988
On the convergence and saturation of the Jackson polynomials in \(L_ p\) spaces. Zbl 0635.42006
Popov, V. A.; Szabados, J.
3
1984
Function spaces, generated by the averaged moduli of smoothness. Zbl 0564.46028
Popov, Vasil A.
3
1983
Sätze Jacksonschen Typs für beste einseitige Approximationen verrmittels trigonometirscher Polynome und Splines. Zbl 0424.42004
Andreev, A.; Popov, V. A.; Sendov, Bl.
3
1979
Jackson’s type theorems for one-sided polynomial and spline approximation. Zbl 0384.41004
Andreev, A.; Popov, V. A.; Sendov, Bl.
3
1977
Die genaue Asymptotik der besten Approximation vermittels algebraischer und trigonometrischer Polynome in der Hausdorffschen Metrik. Zbl 0249.41004
Sendov, Bl.; Popov, V. A.
3
1972
Convex approximation by rational functions. Zbl 0821.41017
Gao, Bo; Newman, Donald J.; Popov, V. A.
2
1995
Onesided approximation of periodic functions of several variables. Zbl 0515.42014
Popov, V. A.
2
1982
On the quantitative Korovkin theorems in \(L_ p\). Zbl 0512.41018
Popov, V. A.
2
1982
Jackson-type theorems for best one-sided approximations by trigonometrical polynomials and splines. Zbl 0471.42004
Andreev, A.; Popov, V. A.; Sendov, B.
2
1980
Rational uniform approximation of class \(V_r\) and its applications. Zbl 0357.41006
Popov, V. A.
2
1976
Approximation of monotone functions by monotone polynomials in Hausdorff metric. Zbl 0386.41003
Popov, V.; Sendov, Bl.
2
1974
Classes characterized by best-possible approximation by spline functions. Zbl 0208.08702
Popov, V. A.; Sendov, B. Kh.
2
1971
Averaged moduli of smoothness for functions of several variables, and the function spaces generated by them. Zbl 0609.41030
Popov, V. A.; Khristov, V. Kh.
1
1985
Average moduli and their function spaces. Zbl 0555.41004
Popov, V. A.
1
1983
Error estimates for the numerical solution of ordinary differential equations. Zbl 0509.65041
Andreev, A. S.; Popov, V. A.; Sendov, Bl.
1
1981
Error estimations of a numerical solution of ordinary differential equations. Zbl 0496.65040
Andreev, A. S.; Popov, V. A.; Sendov, Bl.
1
1981
On the subspaces of exp X. Zbl 0456.54003
Popov, V.
1
1980
Parametric approximation of piecewise analytic functions. Zbl 0493.41027
Popov, Vasil A.; Iliev, Georgi L.
1
1977
The exact order of the best approximation to convex functions by rational functions. Zbl 0398.41011
Popov, V. A.; Petrusev, P. P.
1
1977
Approximation of convex functions by algebraic polynomials in Hausdorff metric. Zbl 0454.41024
Popov, Vasil A.
1
1975
Direct and converse theorems for spline approximation with free knots. Zbl 0334.41004
Popov, Vasil A.
1
1975
Eine lokale Approximation einer Funktion. Zbl 0314.42003
Popov, V. A.
1
1975
One generalization of the Popoviciu’s theorem for Bernstein polynomials. Zbl 0346.41016
Popov, V. A.; Veselinov, V. M.
1
1974
An analogue of a theorem of S. M. Nikol’skiĭ for the approximation of functions by means of algebraic polynomials relative to the Hausdorff metric. Zbl 0231.41004
Sendov, Bl.; Popov, V. A.
1
1972
On the widths of the space of continuous functions in the metric of Hausdorff. Zbl 0209.43502
Boyanov, T. P.; Popov, V. A.
1
1970
Über die Konvergenz der Ableitungen linearer positiver Operatoren. Zbl 0207.13403
Sendov, B.; Popov, V.
1
1969
Approximation konvexer Figuren. Zbl 0215.50601
Popov, V.
1
1968
Rational approximation of real functions. Reprint of the 1987 hardback edition. Zbl 1209.41002
Petrushev, P. P.; Popov, V. A.
4
2011
Convex approximation by rational functions. Zbl 0821.41017
Gao, Bo; Newman, Donald J.; Popov, V. A.
2
1995
Compression of wavelet decompositions. Zbl 0764.41024
DeVore, Ronald A.; Jawerth, Björn; Popov, Vasil
119
1992
Interpolation of Besov spaces. Zbl 0646.46030
Devore, Ronald A.; Popov, Vasil A.
86
1988
The averaged moduli of smoothness. Applications in numerical methods and approximation. Transl. ed. by G. M. Phillips. Zbl 0653.65002
Sendov, Blagovest; Popov, Vasil A.
37
1988
Interpolation spaces and nonlinear approximation. Zbl 0652.46054
DeVore, R. A.; Popov, V. A.
17
1988
Interpolation of approximation spaces. Zbl 0708.46059
DeVore, R. A.; Popov, V. A.
4
1988
Iterative methods for computation of all multiple roots of an algebraic polynomial. Zbl 0745.65031
Kyurkchiev, Nikolaj; Andreev, Andrej; Popov, Vasil
3
1988
Rational approximation of real functions. Zbl 0644.41010
Petrushev, P. P.; Popov, V. A.
111
1987
Free multivariate splines. Zbl 0624.41012
DeVore, Ronald A.; Popov, Vasil A.
4
1987
Averaged moduli of smoothness for functions of several variables, and the function spaces generated by them. Zbl 0609.41030
Popov, V. A.; Khristov, V. Kh.
1
1985
On the convergence and saturation of the Jackson polynomials in \(L_ p\) spaces. Zbl 0635.42006
Popov, V. A.; Szabados, J.
3
1984
Averaged moduli of smoothness. (Usredneni moduli na gladkost). Zbl 0542.41018
Sendov, Blagovest; Popov, Vasil A.
15
1983
Function spaces, generated by the averaged moduli of smoothness. Zbl 0564.46028
Popov, Vasil A.
3
1983
Average moduli and their function spaces. Zbl 0555.41004
Popov, V. A.
1
1983
Onesided approximation of periodic functions of several variables. Zbl 0515.42014
Popov, V. A.
2
1982
On the quantitative Korovkin theorems in \(L_ p\). Zbl 0512.41018
Popov, V. A.
2
1982
Error estimates for the numerical solution of ordinary differential equations. Zbl 0509.65041
Andreev, A. S.; Popov, V. A.; Sendov, Bl.
1
1981
Error estimations of a numerical solution of ordinary differential equations. Zbl 0496.65040
Andreev, A. S.; Popov, V. A.; Sendov, Bl.
1
1981
On the connection between rational uniform approximation and polynomial \(L_ p\) approximation of functions. Zbl 0483.41010
Popov, V. A.
4
1980
Jackson-type theorems for best one-sided approximations by trigonometrical polynomials and splines. Zbl 0471.42004
Andreev, A.; Popov, V. A.; Sendov, B.
2
1980
On the subspaces of exp X. Zbl 0456.54003
Popov, V.
1
1980
Sätze Jacksonschen Typs für beste einseitige Approximationen verrmittels trigonometirscher Polynome und Splines. Zbl 0424.42004
Andreev, A.; Popov, V. A.; Sendov, Bl.
3
1979
Steckin’s type theorems for onesided trigonometrical and spline approximation. Zbl 0402.41003
Popov, V. A.; Andreev, A. S.
4
1978
Uniform rational approximation of the class \(V_r\) and its applications. Zbl 0343.41015
Popov, V. A.
12
1977
A perfect map need not preserve a \(G_\delta\)-diagonal. Zbl 0343.54035
Popov, V.
8
1977
Converse theorem for the onesided trigonometrical approximations. Zbl 0381.42004
Popov, V. A.
4
1977
Jackson’s type theorems for one-sided polynomial and spline approximation. Zbl 0384.41004
Andreev, A.; Popov, V. A.; Sendov, Bl.
3
1977
Parametric approximation of piecewise analytic functions. Zbl 0493.41027
Popov, Vasil A.; Iliev, Georgi L.
1
1977
The exact order of the best approximation to convex functions by rational functions. Zbl 0398.41011
Popov, V. A.; Petrusev, P. P.
1
1977
Rational uniform approximation of class \(V_r\) and its applications. Zbl 0357.41006
Popov, V. A.
2
1976
Approximation of convex functions by algebraic polynomials in Hausdorff metric. Zbl 0454.41024
Popov, Vasil A.
1
1975
Direct and converse theorems for spline approximation with free knots. Zbl 0334.41004
Popov, Vasil A.
1
1975
Eine lokale Approximation einer Funktion. Zbl 0314.42003
Popov, V. A.
1
1975
On the rational approximation of functions of the class V\(_r\). Zbl 0276.41007
Popov, V. A.
8
1974
On the connection between rational and spline approximation. Zbl 0325.41010
Popov, V. A.
7
1974
On a general localization theorem and some applications in the theory of rational approximation. Zbl 0276.41006
Popov, V. A.; Szabados, Jozsef
6
1974
Approximation of monotone functions by monotone polynomials in Hausdorff metric. Zbl 0386.41003
Popov, V.; Sendov, Bl.
2
1974
One generalization of the Popoviciu’s theorem for Bernstein polynomials. Zbl 0346.41016
Popov, V. A.; Veselinov, V. M.
1
1974
On a generalization of Jackson’s theorem for best approximation. Zbl 0266.41013
Sendov, Bl.; Popov, V. A.
4
1973
On approximation by spline functions. Zbl 0246.41016
Freud, G.; Popov, V.
12
1972
Die genaue Asymptotik der besten Approximation vermittels algebraischer und trigonometrischer Polynome in der Hausdorffschen Metrik. Zbl 0249.41004
Sendov, Bl.; Popov, V. A.
3
1972
An analogue of a theorem of S. M. Nikol’skiĭ for the approximation of functions by means of algebraic polynomials relative to the Hausdorff metric. Zbl 0231.41004
Sendov, Bl.; Popov, V. A.
1
1972
Classes characterized by best-possible approximation by spline functions. Zbl 0208.08702
Popov, V. A.; Sendov, B. Kh.
2
1971
Einige Fragen, die mit der Approximation durch Spline-Funktionen und Polynome zusammenhängen. Zbl 0201.39601
Freud, G.; Popov, V. A.
5
1970
Approximation of convex sets. Zbl 0223.52001
Popov, Vasil A.
4
1970
Convergence of the derivatives of positive linear operators. Zbl 0223.46029
Sendov, Blagovest; Popov, Vasil A.
4
1970
On the widths of the space of continuous functions in the metric of Hausdorff. Zbl 0209.43502
Boyanov, T. P.; Popov, V. A.
1
1970
Über die Konvergenz der Ableitungen linearer positiver Operatoren. Zbl 0207.13403
Sendov, B.; Popov, V.
1
1969
Approximation konvexer Figuren. Zbl 0215.50601
Popov, V.
1
1968
all top 5

Cited by 499 Authors

19 DeVore, Ronald A.
14 Dahlke, Stephan
12 Dahmen, Wolfgang A.
11 Petrushev, Pencho P.
9 Kopotun, Kirill A.
9 Nielsen, Morten
7 Popov, Vasil Atanasov
7 Sickel, Winfried
6 Billings, Stephen A.
6 Cobos, Fernando
6 Ditzian, Zeev
6 Schneider, Reinhold
5 Alt, Walter
5 Borup, Lasse
5 Dominguez, Oscar
5 Jia, Rong-Qing
5 Kyriazis, George C.
5 Leviatan, Dany
5 Lubinsky, Doron S.
5 Schneider, Cornelia
5 Weimar, Markus
4 Cohen, Albert
4 Dechevsky, Lubomir T.
4 Guo, Lingzhong
4 Hansen, Markus
4 Hu, Yingkang
4 Khatamov, Akhtam
4 Kim, Seungil
4 Pekarskij, A. A.
4 Temlyakov, Vladimir Nikolaevich
4 Yu, Xiangming
3 Beer, Gerald Alan
3 Brudnyi, Yuri A.
3 Butzer, Paul Leo
3 Cai, Tony Tony
3 Dinh Dũng
3 Dryanov, Dimiter P.
3 Farkhi, Elza M.
3 Garrappa, Roberto
3 Girish, Muckai K.
3 Gupta, Vijay
3 Hackbusch, Wolfgang
3 Hagstrom, Thomas M.
3 Hernández, Eugenio
3 Hochmuth, Reinhard
3 Hu, Jianqiang
3 Irodova, Irina Pavlovna
3 Koo, Ja-Yong
3 Kunoth, Angela
3 Liu, Yongping
3 Mastroianni, Giuseppe
3 Melas, Viatcheslav B.
3 Park, Cheolwoo
3 Proinov, Petko D.
3 Prössdorf, Siegfried
3 Seydenschwanz, Martin
3 Shadrin, Alexei
3 Vakarchuk, Sergei Borisovich
3 Vinti, Gianluca
3 Vybíral, Jan
3 Zabutnaya, Valentina I.
3 Zhou, Harrison H.
2 Arkhangel’skiĭ, Aleksandr Vladimirovich
2 Asekritova, Irina U.
2 Bechler, Paweł
2 Bräutigam, Nils
2 Brown, Lawrence David
2 Cai, Tianwen Tony
2 Canuto, Claudio
2 Chesneau, Christophe
2 Chui, Charles Kam-tai
2 Coca, Daniel
2 Costarelli, Danilo
2 Dai, Feng
2 Damelin, Steven Benjamin
2 Daubechies, Ingrid Chantal
2 Döhring, Nicolas
2 Druskin, Vladimir
2 Eckhardt, Frank
2 Fischer, Adelheid
2 Flad, Heinz-Jürgen
2 Freud, Géza
2 Fröhlich, Jochen
2 Frommer, Andreas
2 Führ, Hartmut
2 Ganzburg, Michael Iosifovich
2 Givoli, Dan
2 Goebbels, Steffen J.
2 Gribonval, Rémi
2 Griebel, Michael
2 Gyõrvári, János
2 Haroske, Dorothee D.
2 Hartmann, Christoph
2 Huang, Daren
2 Huang, Jianhua Z.
2 Iliev, Georgi L.
2 Ivanov, Kamen G.
2 Jia, Rongqing
2 Karaivanov, Borislav
2 Kerkyacharian, Gérard
...and 399 more Authors
all top 5

Cited in 131 Serials

67 Journal of Approximation Theory
21 Mathematical Notes
18 Constructive Approximation
13 Applied and Computational Harmonic Analysis
11 Journal of Mathematical Analysis and Applications
10 Mathematics of Computation
10 The Annals of Statistics
9 Analysis Mathematica
9 Transactions of the American Mathematical Society
9 Advances in Computational Mathematics
8 Journal of Computational and Applied Mathematics
8 The Journal of Fourier Analysis and Applications
7 Numerische Mathematik
7 Acta Mathematica Hungarica
6 Journal of Functional Analysis
6 Journal of Statistical Planning and Inference
6 Numerical Functional Analysis and Optimization
6 Results in Mathematics
6 Topology and its Applications
6 Journal of Mathematical Sciences (New York)
6 St. Petersburg Mathematical Journal
5 Computers & Mathematics with Applications
5 Journal d’Analyse Mathématique
5 Statistics & Probability Letters
4 Mathematische Zeitschrift
4 Proceedings of the American Mathematical Society
3 Acta Mathematica Academiae Scientiarum Hungaricae
3 International Journal of Control
3 Rocky Mountain Journal of Mathematics
3 Ukrainian Mathematical Journal
3 Applied Mathematics and Computation
3 Mathematische Nachrichten
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Applied Numerical Mathematics
3 Journal of Complexity
3 Journal of Inequalities and Applications
3 Foundations of Computational Mathematics
2 Computer Physics Communications
2 International Journal of Systems Science
2 Journal of Computational Physics
2 BIT
2 Collectanea Mathematica
2 Computing
2 Journal of Multivariate Analysis
2 Manuscripta Mathematica
2 Monatshefte für Mathematik
2 Stochastic Analysis and Applications
2 Applied Mathematics Letters
2 Journal of Integral Equations and Applications
2 Communications in Partial Differential Equations
2 European Journal of Operational Research
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Computational Optimization and Applications
2 Vietnam Journal of Mathematics
2 Optimization Methods & Software
2 Acta Mathematica Sinica. English Series
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Computer Methods in Applied Mechanics and Engineering
1 Israel Journal of Mathematics
1 Studia Mathematica
1 Acta Mathematica Vietnamica
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Automatica
1 Mathematica Slovaca
1 Quaestiones Mathematicae
1 SIAM Journal on Numerical Analysis
1 Siberian Mathematical Journal
1 Theoretical Computer Science
1 Tohoku Mathematical Journal. Second Series
1 Journal of Time Series Analysis
1 Computer Aided Geometric Design
1 Physica D
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Acta Mathematicae Applicatae Sinica. English Series
1 Statistics
1 Discrete & Computational Geometry
1 Computational Mechanics
1 SIAM Journal on Matrix Analysis and Applications
1 Queueing Systems
1 Neural Networks
1 Machine Learning
1 Japan Journal of Industrial and Applied Mathematics
1 The Annals of Applied Probability
1 The Journal of Geometric Analysis
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Numerical Algorithms
1 International Journal of Computer Mathematics
1 Linear Algebra and its Applications
1 SIAM Review
1 Acta Mathematica Sinica. New Series
1 Journal of Mathematical Imaging and Vision
1 Russian Mathematics
1 Test
1 SIAM Journal on Scientific Computing
1 Applied Mathematics. Series B (English Edition)
1 Mathematical Methods of Statistics
...and 31 more Serials

Citations by Year

Wikidata Timeline

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