Edit Profile Oskolkov, Konstantin Ilyich Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 59 single-authored 3 Telyakovskiĭ, Sergeĭ Aleksandrovich 2 Arkhipov, Gennadiĭ Ivanovich 2 Chakhkiev, Magomed A. 2 Stechkin, Sergeĭ Borisovich 1 DeVore, Ronald A. 1 Karatsuba, Anatoliĭ Alekseevich 1 Maiorov, Vitaly E. 1 Offin, Daniel C. 1 Petrushev, Pencho P. 1 Shafarevich, Igor’ Rostislavovich 1 Temlyakov, Vladimir Nikolaevich 1 Vladimirov, Vasiliĭ Sergeevich all top 5 Serials 9 Proceedings of the Steklov Institute of Mathematics 7 Mathematical Notes 7 Matematicheskie Zametki 7 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 4 Matematicheskiĭ Sbornik. Novaya Seriya 4 Soviet Mathematics. Doklady 4 Mathematics of the USSR, Sbornik 2 Analysis Mathematica 1 Applied Mathematics and Optimization 1 Canadian Journal of Mathematics 1 Mathematics of the USSR. Izvestiya 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Constructive Approximation 1 Izvestiya Akademii Nauk Armyanskoi SSR. Matematika 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Journal of Mathematical Sciences (New York) 1 Annals of Numerical Mathematics 1 Serdica Mathematical Journal 1 East Journal on Approximations 1 The Journal of Fourier Analysis and Applications 1 Doklady Mathematics all top 5 Fields 46 Harmonic analysis on Euclidean spaces (42-XX) 24 Approximations and expansions (41-XX) 8 Number theory (11-XX) 6 Real functions (26-XX) 5 Sequences, series, summability (40-XX) 4 Partial differential equations (35-XX) 3 Functions of a complex variable (30-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 44 Publications have been cited 209 times in 163 Documents Cited by ▼ Year ▼ Lebesgue’s inequality in the uniform metric and on a set of full measure. Zbl 0339.42001Oskolkov, K. I. 19 1975 A note on orthonormal polynomial bases and wavelets. Zbl 0771.42020Offin, D.; Oskolkov, K. 15 1993 Approximation properties of integrable functions on sets of full measure. Zbl 0371.41008Oskolkov, K. I. 15 1977 Ridge approximation, Chebyshev-Fourier analysis and optimal quadrature formulas. Zbl 0936.41013Oskolkov, K. I. 12 1997 Approximation by feed-forward neural networks. Zbl 0884.41012DeVore, Ronald A.; Oskolkov, Konstantin I.; Petrushev, Pencho P. 11 1997 On strong summability of Fourier series. Zbl 0577.42005Oskolkov, K. I. 11 1985 Estimation of the rate of approximation of a continuous function and its conjugate by Fourier sums on a set of full measure. Zbl 0307.42002Oskolkov, K. I. 10 1974 On strong summability of Fourier series and differentiability of functions. Zbl 0322.42006Oskolkov, K. I. 9 1976 On a special trigonometric series and its applications. Zbl 0665.42003Arkhipov, G. I.; Oskolkov, K. I. 8 1987 On functional properties of incomplete Gaussian sums. Zbl 0728.11039Oskolkov, K. I. 7 1991 On the optimality of the quadrature formula with equidistant nodes on classes of periodic functions. Zbl 0441.41018Oskolkov, K. I. 7 1979 A class of I. M. Vinogradov’s series and its applications in harmonic analysis. Zbl 0815.42003Oskolkov, K. I. 6 1992 Generalized variation, the Banach indicatrix and the uniform convergence of Fourier series. Zbl 0239.42014Oskolkov, K. I. 6 1972 The sharpness of the Lebesgue estimate for the approximation of functions with prescribed modulus of continuity by Fourier sums. Zbl 0236.42003Oskolkov, K. I. 6 1971 Inequalities of the “large sieve” type and applications to problems of trigonometric approximation. Zbl 0654.42004Oskolkov, K. I. 5 1986 Uniform modulus of continuity of summable functions on sets of positive measure. Zbl 0349.26003Oskolkov, K. I. 5 1976 The Schrödinger density and the Talbot effect. Zbl 1140.42300Oskolkov, K. I. 4 2006 On a special trigonometric series and its applications. Zbl 0825.42002Arkhipov, G. I.; Oskolkov, K. I. 4 1989 On Luzin’s C-property for a conjugate function. Zbl 0561.26004Oskolkov, K. I. 4 1983 Lebesgue’s inequality in the mean. Zbl 0414.42002Oskolkov, K. I. 4 1979 Schrödinger equation and oscillatory Hilbert transforms of second degree. Zbl 0912.35052Oskolkov, K. 3 1998 An estimate for the approximation of continuous functions by sequences of Fourier sums. Zbl 0359.42002Oskolkov, K. I. 3 1975 Generalized variation, the Banach indicatrix, and the uniform convergence of Fourier series. Zbl 0255.42010Oskolkov, K. I. 3 1973 On representations of algebraic polynomials by superpositions of plane waves. Zbl 1039.41003Oskolkov, K. I. 2 2002 Gridge approximation and Radon compass. Zbl 1041.41017Maiorov, V. E.; Oskolkov, K. I.; Temlyakov, V. N. 2 2002 Vinogradov series in the Cauchy problem for equations of Schrödinger type. Zbl 0831.35038Oskolkov, K. I. 2 1991 Series and integrals of I. M. Vinogradov and their applications. Zbl 0707.11059Oskolkov, K. I. 2 1989 On strong summability of Fourier series. Zbl 0635.42014Oskolkov, K. I. 2 1987 Subsequences of Fourier sums of integrable functions. Zbl 0615.42004Oskolkov, K. I. 2 1986 On optimal quadrature formulae on certain classes of periodic functions. Zbl 0523.41016Oskolkov, K. I. 2 1982 Polygonal approximation of functions of two variables. Zbl 0404.41010Oskolkov, K. I. 2 1978 Approximation properties of summable functions on sets of full measure. Zbl 0398.41010Oskolkov, K. I. 2 1977 Sharpness of the Lebesgue estimate for approximation of functions with given modulus of continuity by means of Fourier sums. Zbl 0258.42006Oskolkov, K. I. 2 1973 Subsequences of Fourier sums of functions with a prescribed modulus of continuity. Zbl 0239.42007Oskolkov, K. I. 2 1972 On Riemann “nondifferentiable” function and Schrödinger equation. Zbl 1207.26010Oskolkov, K. I.; Chakhkiev, M. A. 1 2010 The series \(\sum\sum \frac{e^{2\pi imnx}}{mn}\) and a problem of Chowla. Zbl 1126.40001Oskolkov, K. I. 1 2005 Ridge approximations and the Kolmogorov-Nikol’skij problem. Zbl 1053.41023Oskolkov, K. I. 1 1999 On spectra of uniform convergence. Zbl 0609.42007Oskolkov, K. I. 1 1986 Subsequence of Fourier sums of integrable functions. Zbl 0572.42006Oskolkov, K. I. 1 1985 The upper bound of the norms of orthogonal projections onto subspaces of polygonals. Zbl 0436.49033Oskolkov, K. I. 1 1979 Polygonal approximation of functions of two variables. Zbl 0429.41014Oskolkov, K. I. 1 1979 Lebesgue’s inequality in a uniform metric and on a set of full measure. Zbl 0349.42004Oskolkov, K. I. 1 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 0315.42008Oskolkov, K. I. 1 1976 On Fourier sums for the Banach indicatrix. Zbl 0315.42013Oskolkov, K. I. 1 1974 On Riemann “nondifferentiable” function and Schrödinger equation. Zbl 1207.26010Oskolkov, K. I.; Chakhkiev, M. A. 1 2010 The Schrödinger density and the Talbot effect. Zbl 1140.42300Oskolkov, K. I. 4 2006 The series \(\sum\sum \frac{e^{2\pi imnx}}{mn}\) and a problem of Chowla. Zbl 1126.40001Oskolkov, K. I. 1 2005 On representations of algebraic polynomials by superpositions of plane waves. Zbl 1039.41003Oskolkov, K. I. 2 2002 Gridge approximation and Radon compass. Zbl 1041.41017Maiorov, V. E.; Oskolkov, K. I.; Temlyakov, V. N. 2 2002 Ridge approximations and the Kolmogorov-Nikol’skij problem. Zbl 1053.41023Oskolkov, K. I. 1 1999 Schrödinger equation and oscillatory Hilbert transforms of second degree. Zbl 0912.35052Oskolkov, K. 3 1998 Ridge approximation, Chebyshev-Fourier analysis and optimal quadrature formulas. Zbl 0936.41013Oskolkov, K. I. 12 1997 Approximation by feed-forward neural networks. Zbl 0884.41012DeVore, Ronald A.; Oskolkov, Konstantin I.; Petrushev, Pencho P. 11 1997 A note on orthonormal polynomial bases and wavelets. Zbl 0771.42020Offin, D.; Oskolkov, K. 15 1993 A class of I. M. Vinogradov’s series and its applications in harmonic analysis. Zbl 0815.42003Oskolkov, K. I. 6 1992 On functional properties of incomplete Gaussian sums. Zbl 0728.11039Oskolkov, K. I. 7 1991 Vinogradov series in the Cauchy problem for equations of Schrödinger type. Zbl 0831.35038Oskolkov, K. I. 2 1991 On a special trigonometric series and its applications. Zbl 0825.42002Arkhipov, G. I.; Oskolkov, K. I. 4 1989 Series and integrals of I. M. Vinogradov and their applications. Zbl 0707.11059Oskolkov, K. I. 2 1989 On a special trigonometric series and its applications. Zbl 0665.42003Arkhipov, G. I.; Oskolkov, K. I. 8 1987 On strong summability of Fourier series. Zbl 0635.42014Oskolkov, K. I. 2 1987 Inequalities of the “large sieve” type and applications to problems of trigonometric approximation. Zbl 0654.42004Oskolkov, K. I. 5 1986 Subsequences of Fourier sums of integrable functions. Zbl 0615.42004Oskolkov, K. I. 2 1986 On spectra of uniform convergence. Zbl 0609.42007Oskolkov, K. I. 1 1986 On strong summability of Fourier series. Zbl 0577.42005Oskolkov, K. I. 11 1985 Subsequence of Fourier sums of integrable functions. Zbl 0572.42006Oskolkov, K. I. 1 1985 On Luzin’s C-property for a conjugate function. Zbl 0561.26004Oskolkov, K. I. 4 1983 On optimal quadrature formulae on certain classes of periodic functions. Zbl 0523.41016Oskolkov, K. I. 2 1982 On the optimality of the quadrature formula with equidistant nodes on classes of periodic functions. Zbl 0441.41018Oskolkov, K. I. 7 1979 Lebesgue’s inequality in the mean. Zbl 0414.42002Oskolkov, K. I. 4 1979 The upper bound of the norms of orthogonal projections onto subspaces of polygonals. Zbl 0436.49033Oskolkov, K. I. 1 1979 Polygonal approximation of functions of two variables. Zbl 0429.41014Oskolkov, K. I. 1 1979 Polygonal approximation of functions of two variables. Zbl 0404.41010Oskolkov, K. I. 2 1978 Approximation properties of integrable functions on sets of full measure. Zbl 0371.41008Oskolkov, K. I. 15 1977 Approximation properties of summable functions on sets of full measure. Zbl 0398.41010Oskolkov, K. I. 2 1977 On strong summability of Fourier series and differentiability of functions. Zbl 0322.42006Oskolkov, K. I. 9 1976 Uniform modulus of continuity of summable functions on sets of positive measure. Zbl 0349.26003Oskolkov, K. I. 5 1976 Lebesgue’s inequality in a uniform metric and on a set of full measure. Zbl 0349.42004Oskolkov, K. I. 1 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 0315.42008Oskolkov, K. I. 1 1976 Lebesgue’s inequality in the uniform metric and on a set of full measure. Zbl 0339.42001Oskolkov, K. I. 19 1975 An estimate for the approximation of continuous functions by sequences of Fourier sums. Zbl 0359.42002Oskolkov, 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 0307.42002Oskolkov, K. I. 10 1974 On Fourier sums for the Banach indicatrix. Zbl 0315.42013Oskolkov, K. I. 1 1974 Generalized variation, the Banach indicatrix, and the uniform convergence of Fourier series. Zbl 0255.42010Oskolkov, K. I. 3 1973 Sharpness of the Lebesgue estimate for approximation of functions with given modulus of continuity by means of Fourier sums. Zbl 0258.42006Oskolkov, K. I. 2 1973 Generalized variation, the Banach indicatrix and the uniform convergence of Fourier series. Zbl 0239.42014Oskolkov, K. I. 6 1972 Subsequences of Fourier sums of functions with a prescribed modulus of continuity. Zbl 0239.42007Oskolkov, K. I. 2 1972 The sharpness of the Lebesgue estimate for the approximation of functions with prescribed modulus of continuity by Fourier sums. Zbl 0236.42003Oskolkov, K. I. 6 1971 all cited Publications top 5 cited Publications all top 5 Cited by 157 Authors 7 Goginava, Ushangi 7 Maiorov, Vitaly E. 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, Larry 2 Ionescu, Alexandru D. 2 Korolëv, Maksim Aleksandrovich 2 Kvernadze, George 2 Leviatan, Dany 2 Lind, Martin 2 Magyar, Akos 2 Maiorov, V. E. 2 Nessel, Rolf Joachim 2 Olver, Peter John 2 Quak, Ewald G. 2 Radoslavova, T. V. 2 Rodin, Vladimir A. 2 Serdyuk, Anatoly S. 2 Sevas’tyanov, E. A. 2 Skopina, Maria A. 2 Temlyakov, Vladimir Nikolaevich 2 Usevich, Konstantin 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 Bechler, Paweł 1 Boyanov, Borislav Dechev 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 1 Liang, Xuezhang 1 Lippus, Jüri 1 Marklof, Jens ...and 57 more Authors all top 5 Cited in 52 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 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 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 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 Sbornik: 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 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 all top 5 Cited in 29 Fields 103 Harmonic analysis on Euclidean spaces (42-XX) 52 Approximations and expansions (41-XX) 15 Functional analysis (46-XX) 13 Number theory (11-XX) 13 Partial differential equations (35-XX) 12 Numerical analysis (65-XX) 11 Real functions (26-XX) 7 Special functions (33-XX) 6 Functions of a complex variable (30-XX) 4 Abstract harmonic analysis (43-XX) 3 Measure and integration (28-XX) 3 Sequences, series, summability (40-XX) 3 Integral transforms, operational calculus (44-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year