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Oskolkov, Konstantin Ilyich

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Author ID: oskolkov.konstantin-ilyich Recent zbMATH articles by "Oskolkov, Konstantin Ilyich"
Published as: Oskolkov, K.; Oskolkov, K. I.; Oskolkov, Konstantin I.
Documents Indexed: 70 Publications since 1971, including 1 Book
Biographic References: 7 Publications

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 216 times in 168 Documents Cited by Year
Lebesgue’s inequality in the uniform metric and on a set of full measure. Zbl 0339.42001
Oskolkov, K. I.
19
1975
A note on orthonormal polynomial bases and wavelets. Zbl 0771.42020
Offin, D.; Oskolkov, K.
15
1993
Approximation properties of integrable functions on sets of full measure. Zbl 0371.41008
Oskolkov, K. I.
15
1977
Ridge approximation, Chebyshev-Fourier analysis and optimal quadrature formulas. Zbl 0936.41013
Oskolkov, K. I.
12
1997
On strong summability of Fourier series. Zbl 0577.42005
Oskolkov, K. I.
12
1985
Approximation by feed-forward neural networks. Zbl 0884.41012
DeVore, Ronald A.; Oskolkov, Konstantin I.; Petrushev, Pencho P.
11
1997
Estimation of the rate of approximation of a continuous function and its conjugate by Fourier sums on a set of full measure. Zbl 0307.42002
Oskolkov, K. I.
10
1974
On strong summability of Fourier series and differentiability of functions. Zbl 0322.42006
Oskolkov, K. I.
9
1976
On a special trigonometric series and its applications. Zbl 0665.42003
Arkhipov, G. I.; Oskolkov, K. I.
8
1987
A class of I. M. Vinogradov’s series and its applications in harmonic analysis. Zbl 0815.42003
Oskolkov, K. I.
7
1992
On functional properties of incomplete Gaussian sums. Zbl 0728.11039
Oskolkov, K. I.
7
1991
On the optimality of the quadrature formula with equidistant nodes on classes of periodic functions. Zbl 0441.41018
Oskolkov, K. I.
7
1979
Generalized variation, the Banach indicatrix and the uniform convergence of Fourier series. Zbl 0239.42014
Oskolkov, K. I.
6
1972
The sharpness of the Lebesgue estimate for the approximation of functions with prescribed modulus of continuity by Fourier sums. Zbl 0236.42003
Oskolkov, K. I.
6
1971
On a special trigonometric series and its applications. Zbl 0825.42002
Arkhipov, G. I.; Oskolkov, K. I.
5
1989
Inequalities of the “large sieve” type and applications to problems of trigonometric approximation. Zbl 0654.42004
Oskolkov, K. I.
5
1986
Uniform modulus of continuity of summable functions on sets of positive measure. Zbl 0349.26003
Oskolkov, K. I.
5
1976
The Schrödinger density and the Talbot effect. Zbl 1140.42300
Oskolkov, K. I.
4
2006
On Luzin’s C-property for a conjugate function. Zbl 0561.26004
Oskolkov, K. I.
4
1983
Lebesgue’s inequality in the mean. Zbl 0414.42002
Oskolkov, K. I.
4
1979
Schrödinger equation and oscillatory Hilbert transforms of second degree. Zbl 0912.35052
Oskolkov, K.
3
1998
Series and integrals of I. M. Vinogradov and their applications. Zbl 0707.11059
Oskolkov, K. I.
3
1989
An estimate for the approximation of continuous functions by sequences of Fourier sums. Zbl 0359.42002
Oskolkov, K. I.
3
1975
Generalized variation, the Banach indicatrix, and the uniform convergence of Fourier series. Zbl 0255.42010
Oskolkov, K. I.
3
1973
On representations of algebraic polynomials by superpositions of plane waves. Zbl 1039.41003
Oskolkov, K. I.
2
2002
Gridge approximation and Radon compass. Zbl 1041.41017
Maiorov, V. E.; Oskolkov, K. I.; Temlyakov, V. N.
2
2002
Vinogradov series in the Cauchy problem for equations of Schrödinger type. Zbl 0831.35038
Oskolkov, K. I.
2
1991
On strong summability of Fourier series. Zbl 0635.42014
Oskolkov, K. I.
2
1987
Subsequences of Fourier sums of integrable functions. Zbl 0615.42004
Oskolkov, K. I.
2
1986
On spectra of uniform convergence. Zbl 0609.42007
Oskolkov, K. I.
2
1986
On optimal quadrature formulae on certain classes of periodic functions. Zbl 0523.41016
Oskolkov, K. I.
2
1982
Polygonal approximation of functions of two variables. Zbl 0404.41010
Oskolkov, K. I.
2
1978
Approximation properties of summable functions on sets of full measure. Zbl 0398.41010
Oskolkov, K. I.
2
1977
Lebesgue’s inequality in a uniform metric and on a set of full measure. Zbl 0349.42004
Oskolkov, K. I.
2
1976
Sharpness of the Lebesgue estimate for approximation of functions with given modulus of continuity by means of Fourier sums. Zbl 0258.42006
Oskolkov, K. I.
2
1973
Subsequences of Fourier sums of functions with a prescribed modulus of continuity. Zbl 0239.42007
Oskolkov, K. I.
2
1972
Traces of the discrete Hilbert transform with quadratic phase. Zbl 1293.42006
Oskolkov, K. I.; Chakhkiev, M. A.
1
2013
On Riemann “nondifferentiable” function and Schrödinger equation. Zbl 1207.26010
Oskolkov, K. I.; Chakhkiev, M. A.
1
2010
The series \(\sum\sum \frac{e^{2\pi imnx}}{mn}\) and a problem of Chowla. Zbl 1126.40001
Oskolkov, K. I.
1
2005
Ridge approximations and the Kolmogorov-Nikol’skij problem. Zbl 1053.41023
Oskolkov, K. I.
1
1999
Subsequence of Fourier sums of integrable functions. Zbl 0572.42006
Oskolkov, K. I.
1
1985
The upper bound of the norms of orthogonal projections onto subspaces of polygonals. Zbl 0436.49033
Oskolkov, K. I.
1
1979
Polygonal approximation of functions of two variables. Zbl 0429.41014
Oskolkov, K. I.
1
1979
An estimate of the rate of approximation of a continuous function and its conjugate by Fourier sums on a set of total measure. Zbl 0315.42008
Oskolkov, K. I.
1
1976
On Fourier sums for the Banach indicatrix. Zbl 0315.42013
Oskolkov, K. I.
1
1974
Traces of the discrete Hilbert transform with quadratic phase. Zbl 1293.42006
Oskolkov, K. I.; Chakhkiev, M. A.
1
2013
On Riemann “nondifferentiable” function and Schrödinger equation. Zbl 1207.26010
Oskolkov, K. I.; Chakhkiev, M. A.
1
2010
The Schrödinger density and the Talbot effect. Zbl 1140.42300
Oskolkov, K. I.
4
2006
The series \(\sum\sum \frac{e^{2\pi imnx}}{mn}\) and a problem of Chowla. Zbl 1126.40001
Oskolkov, K. I.
1
2005
On representations of algebraic polynomials by superpositions of plane waves. Zbl 1039.41003
Oskolkov, K. I.
2
2002
Gridge approximation and Radon compass. Zbl 1041.41017
Maiorov, V. E.; Oskolkov, K. I.; Temlyakov, V. N.
2
2002
Ridge approximations and the Kolmogorov-Nikol’skij problem. Zbl 1053.41023
Oskolkov, K. I.
1
1999
Schrödinger equation and oscillatory Hilbert transforms of second degree. Zbl 0912.35052
Oskolkov, K.
3
1998
Ridge approximation, Chebyshev-Fourier analysis and optimal quadrature formulas. Zbl 0936.41013
Oskolkov, K. I.
12
1997
Approximation by feed-forward neural networks. Zbl 0884.41012
DeVore, Ronald A.; Oskolkov, Konstantin I.; Petrushev, Pencho P.
11
1997
A note on orthonormal polynomial bases and wavelets. Zbl 0771.42020
Offin, D.; Oskolkov, K.
15
1993
A class of I. M. Vinogradov’s series and its applications in harmonic analysis. Zbl 0815.42003
Oskolkov, K. I.
7
1992
On functional properties of incomplete Gaussian sums. Zbl 0728.11039
Oskolkov, K. I.
7
1991
Vinogradov series in the Cauchy problem for equations of Schrödinger type. Zbl 0831.35038
Oskolkov, K. I.
2
1991
On a special trigonometric series and its applications. Zbl 0825.42002
Arkhipov, G. I.; Oskolkov, K. I.
5
1989
Series and integrals of I. M. Vinogradov and their applications. Zbl 0707.11059
Oskolkov, K. I.
3
1989
On a special trigonometric series and its applications. Zbl 0665.42003
Arkhipov, G. I.; Oskolkov, K. I.
8
1987
On strong summability of Fourier series. Zbl 0635.42014
Oskolkov, K. I.
2
1987
Inequalities of the “large sieve” type and applications to problems of trigonometric approximation. Zbl 0654.42004
Oskolkov, K. I.
5
1986
Subsequences of Fourier sums of integrable functions. Zbl 0615.42004
Oskolkov, K. I.
2
1986
On spectra of uniform convergence. Zbl 0609.42007
Oskolkov, K. I.
2
1986
On strong summability of Fourier series. Zbl 0577.42005
Oskolkov, K. I.
12
1985
Subsequence of Fourier sums of integrable functions. Zbl 0572.42006
Oskolkov, K. I.
1
1985
On Luzin’s C-property for a conjugate function. Zbl 0561.26004
Oskolkov, K. I.
4
1983
On optimal quadrature formulae on certain classes of periodic functions. Zbl 0523.41016
Oskolkov, K. I.
2
1982
On the optimality of the quadrature formula with equidistant nodes on classes of periodic functions. Zbl 0441.41018
Oskolkov, K. I.
7
1979
Lebesgue’s inequality in the mean. Zbl 0414.42002
Oskolkov, K. I.
4
1979
The upper bound of the norms of orthogonal projections onto subspaces of polygonals. Zbl 0436.49033
Oskolkov, K. I.
1
1979
Polygonal approximation of functions of two variables. Zbl 0429.41014
Oskolkov, K. I.
1
1979
Polygonal approximation of functions of two variables. Zbl 0404.41010
Oskolkov, K. I.
2
1978
Approximation properties of integrable functions on sets of full measure. Zbl 0371.41008
Oskolkov, K. I.
15
1977
Approximation properties of summable functions on sets of full measure. Zbl 0398.41010
Oskolkov, K. I.
2
1977
On strong summability of Fourier series and differentiability of functions. Zbl 0322.42006
Oskolkov, K. I.
9
1976
Uniform modulus of continuity of summable functions on sets of positive measure. Zbl 0349.26003
Oskolkov, K. I.
5
1976
Lebesgue’s inequality in a uniform metric and on a set of full measure. Zbl 0349.42004
Oskolkov, K. I.
2
1976
An estimate of the rate of approximation of a continuous function and its conjugate by Fourier sums on a set of total measure. Zbl 0315.42008
Oskolkov, K. I.
1
1976
Lebesgue’s inequality in the uniform metric and on a set of full measure. Zbl 0339.42001
Oskolkov, K. I.
19
1975
An estimate for the approximation of continuous functions by sequences of Fourier sums. Zbl 0359.42002
Oskolkov, K. I.
3
1975
Estimation of the rate of approximation of a continuous function and its conjugate by Fourier sums on a set of full measure. Zbl 0307.42002
Oskolkov, K. I.
10
1974
On Fourier sums for the Banach indicatrix. Zbl 0315.42013
Oskolkov, K. I.
1
1974
Generalized variation, the Banach indicatrix, and the uniform convergence of Fourier series. Zbl 0255.42010
Oskolkov, K. I.
3
1973
Sharpness of the Lebesgue estimate for approximation of functions with given modulus of continuity by means of Fourier sums. Zbl 0258.42006
Oskolkov, K. I.
2
1973
Generalized variation, the Banach indicatrix and the uniform convergence of Fourier series. Zbl 0239.42014
Oskolkov, K. I.
6
1972
Subsequences of Fourier sums of functions with a prescribed modulus of continuity. Zbl 0239.42007
Oskolkov, K. I.
2
1972
The sharpness of the Lebesgue estimate for the approximation of functions with prescribed modulus of continuity by Fourier sums. Zbl 0236.42003
Oskolkov, K. I.
6
1971
all top 5

Cited by 163 Authors

9 Maiorov, Vitaly Evgen’evich
8 Goginava, Ushangi
7 Oskolkov, Konstantin Ilyich
5 Bajborodov, S. P.
5 Karagulyan, Grigori
5 Leindler, László
4 Chernykh, Nikolaĭ Ivanovich
4 Grigoryan, Martin Gevorgovich
4 Kolyada, Viktor Ivanovich
4 Sharapudinov, Idris Idrisovich
4 Sickel, Winfried
4 Stokolos, Alexander M.
4 Subbotin, Yuriĭ Nikolaevich
4 Wainger, Stephen
3 Antonov, Nikolai Yu.
3 Gát, György
3 Ismailov, Vugar E.
3 Konovalov, Victor N.
3 Krotov, Veniamin Grigor’evich
3 Motornyĭ, Vitaliĭ Pavlovich
3 Prestin, Jurgen
3 Stein, Elias Menachem
3 Stepanets, Aleksander Ivanovich
3 Trebels, Walter
2 Akarsu, Emek Demirci
2 Akhobadze, T. I.
2 Babenko, Vladyslav Fedorovych
2 Bloshanskii, Igor L.
2 Chakhkiev, Magomed A.
2 Davydov, Oleg V.
2 Dubosarskii, G. A.
2 Girela, Daniel
2 Gogoladze, Leri Davidovich
2 Ionescu, Alexandru D.
2 Korolëv, Maksim Aleksandrovich
2 Kvernadze, George
2 Leviatan, Dany
2 Magyar, Akos
2 Nessel, Rolf Joachim
2 Olver, Peter John
2 Quak, Ewald G.
2 Radoslavova, T. V.
2 Rodin, Vladimir A.
2 Runovski, Konstantin Vsevolodovich
2 Serdyuk, Anatoly S.
2 Sevas’tyanov, E. A.
2 Shakan, George
2 Skopina, Maria A.
2 Temlyakov, Vladimir Nikolaevich
2 Usevich, Konstantin
2 Vega, Luis
1 Agafonova, Nina Yu.
1 Ahobadze, T. I.
1 Akgun, Ramazan
1 Arias, Darío Mena
1 Askari-Hemmat, Ataollah
1 Baituyakova, Z.
1 Balazard, Michel
1 Banica, Valeria
1 Bechler, Paweł
1 Boyanov, Borislav Dechev
1 Brandes, Julia
1 Burger, Martin
1 Chen, Gong
1 Ciaurri, Óscar
1 Comon, Pierre
1 Dahmen, Wolfgang A.
1 Dai, Feng
1 Danelia, Akaki
1 Dehghan, Mohammad Ali
1 Derevianko, Nadiia
1 Derev’yanko, N. V.
1 Dickmeis, Werner
1 Dreesen, Philippe
1 Dutkay, Dorin Ervin
1 Erdoğan, Mehmet Burak
1 Evans, Ronald J.
1 Fridli, Sándor
1 Gillespie, Thomas Alastair
1 Gogyan, Smbat L.
1 Golubov, Boris Ivanovich
1 Grafov, Denis A.
1 Grigor’ev, A. I.
1 Grozev, Georgi R.
1 Han, Deguang
1 Irodova, Irina Pavlovna
1 Ishteva, Mariya
1 Ivanishko, I. A.
1 Jaffard, Stéphane
1 Kamaly, Amir A.
1 Kashin, Boris Sergeevich
1 Kesler, Robert M.
1 Kirchhoff, Norbert
1 Kobelyan, A. Kh.
1 Konyagin, Sergeĭ Vladimirovich
1 Kopotun, Kirill A.
1 Kryakin, Yuri V.
1 Kuleshov, Andrey A.
1 Li, Daniel
1 Li, Junfeng
...and 63 more Authors
all top 5

Cited in 55 Serials

35 Mathematical Notes
25 Journal of Approximation Theory
12 Proceedings of the Steklov Institute of Mathematics
11 Ukrainian Mathematical Journal
8 Analysis Mathematica
7 Journal of Mathematical Analysis and Applications
5 Acta Mathematica Hungarica
5 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
4 Journal of Mathematical Sciences (New York)
3 Journal d’Analyse Mathématique
3 Constructive Approximation
3 Sbornik: Mathematics
2 Acta Mathematica Academiae Scientiarum Hungaricae
2 Journal of Soviet Mathematics
2 Russian Mathematics
2 St. Petersburg Mathematical Journal
1 Bulletin of the Australian Mathematical Society
1 Indian Journal of Pure & Applied Mathematics
1 Moscow University Mathematics Bulletin
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Mathematics of Computation
1 Acta Mathematica
1 Applied Mathematics and Optimization
1 Calcolo
1 Functional Analysis and its Applications
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Mathematische Annalen
1 Mathematika
1 Proceedings of the American Mathematical Society
1 Siberian Mathematical Journal
1 Transactions of the American Mathematical Society
1 Zeitschrift für Analysis und ihre Anwendungen
1 Applied Numerical Mathematics
1 Journal of Complexity
1 Journal of the American Mathematical Society
1 Numerical Algorithms
1 Aequationes Mathematicae
1 Bulletin of the American Mathematical Society. New Series
1 Applied and Computational Harmonic Analysis
1 Selecta Mathematica. New Series
1 Advances in Computational Mathematics
1 Discrete and Continuous Dynamical Systems
1 The Journal of Fourier Analysis and Applications
1 Revista Matemática Complutense
1 Communications on Pure and Applied Analysis
1 International Journal of Number Theory
1 Science China. Mathematics
1 Analysis and Mathematical Physics
1 Annals of PDE
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Advances in Operator Theory
1 SIAM Journal on Applied Algebra and Geometry
1 Ural Mathematical Journal

Citations by Year