Edit Profile (opens in new tab) Hayotov, Abdullo Rakhmonovich Co-Author Distance Author ID: hayotov.abdullo-rakhmonovich Published as: Hayotov, A. R.; Hayotov, Abdullo R.; Hayotov, Abdullo; Hayotov, Abdullo Rakhmonovich; Khaëtov, Abdullo Rakhmonovich more...less External Links: ORCID Documents Indexed: 46 Publications since 2000, including 7 Additional arXiv Preprints Co-Authors: 17 Co-Authors with 38 Joint Publications 304 Co-Co-Authors all top 5 Co-Authors 4 single-authored 28 Shadimetov, Kholmat Mahkambaevich 6 Milovanović, Gradimir V. 5 Babaev, S. S. 5 Nuraliev, Farhod A. 3 Jeon, Soomin 3 Khayriev, U. N. 2 Akhmedov, Dilshod M. 2 Babaev, Samandar 2 Lee, Chang-Ock 2 Rasulov, R. G. 1 Azamov, S. S. 1 Boltaev, Aziz Kuzievich 1 Boltaev, N. D. 1 Boltaev, Nurali 1 Boytillayev, B. A. 1 Bozarov, B. I. 1 Bozarov, Bakhromjon 1 Cabada, Alberto 1 Khayriev, Umedjon 1 Mamatova, N. Kh. 1 Parovik, Roman Ivanovich all top 5 Serials 5 Applied Mathematics and Computation 5 Journal of Computational and Applied Mathematics 5 Uzbek Mathematical Journal 3 Calcolo 2 Numerical Algorithms 2 Journal of Mathematical Sciences (New York) 2 Filomat 2 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki 1 Lithuanian Mathematical Journal 1 BIT 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Applied Numerical Mathematics 1 Voprosy Vychislitel’noĭ i Prikladnoĭ Matematiki 1 Journal of Inequalities and Applications 1 Doklady Akademii Nauk Respubliki Uzbekistan. Matematika, Tekhnicheskie Nauki, Estestvoznanie 1 Acta Mathematica Sinica. English Series 1 Lobachevskii Journal of Mathematics 1 Journal of Applied Analysis and Computation 1 Journal of Siberian Federal University. Mathematics & Physics 1 Results in Applied Mathematics all top 5 Fields 38 Numerical analysis (65-XX) 29 Approximations and expansions (41-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 197 times in 52 Documents Cited by ▼ Year ▼ Optimal quadrature formulas with positive coefficients in \(L_2^{(m)}(0, 1)\) space. Zbl 1204.65029 Shadimetov, Kh. M.; Hayotov, A. R. 18 2011 Optimal quadrature formulas in the sense of Sard in \(W_2^{(m,m-1)}\) space. Zbl 1312.65035 Shadimetov, Kholmat M.; Hayotov, Abdullo R. 17 2014 Optimal interpolation formulas in the space \(W_2^{(m,m-1)}\). Zbl 1457.41001 Babaev, S. S.; Hayotov, A. R. 13 2019 On an optimal quadrature formula in the sense of Sard. Zbl 1225.65033 Hayotov, Abdullo Rakhmonovich; Milovanović, Gradimir V.; Shadimetov, Kholmat Mahkambaevich 13 2011 Construction of optimal quadrature formulas for Fourier coefficients in Sobolev space \(L_{2}^{(m)}(0,1)\). Zbl 1364.65302 Boltaev, N. D.; Hayotov, A. R.; Shadimetov, Kh. M. 11 2017 Interpolation splines minimizing a semi-norm. Zbl 1311.41003 Hayotov, Abdullo R.; Milovanović, Gradimir V.; Shadimetov, Kholmat M. 9 2014 Construction of \(D^m\)-splines in \(L_2^{(m)}(0, 1)\) space by Sobolev method. Zbl 1335.65020 Cabada, Alberto; Hayotov, Abdullo R.; Shadimetov, Kh. M. 9 2014 Optimal quadrature formulas for Fourier coefficients in \(W_2^{(m,m-1)}\) space. Zbl 07247213 Boltaev, Nurali; Hayotov, Abdullo; Milovanovic, Gradimir; Shadimetov, Kholmat M. 9 2017 Application of optimal quadrature formulas for reconstruction of CT images. Zbl 1460.65025 Hayotov, Abdullo R.; Jeon, Soomin; Shadimetov, Kholmat M. 9 2021 Construction of interpolation splines minimizing semi-norm in \(W_{2}^{(m,m-1)}(0,1)\) space. Zbl 1273.41007 Shadimetov, Kholmat M.; Hayotov, Abdullo R. 9 2013 Optimal quadrature formula in \(K_2(P_2)\) space. Zbl 1257.41019 Shadimetov, Kh. M.; Hayotov, A. R.; Azamov, S. S. 8 2012 Optimal quadratures in the sense of sard in a Hilbert space. Zbl 1390.41038 Hayotov, Abdullo R.; Milovanović, Gradimir V.; Shadimetov, Kholmat M. 8 2015 Optimal quadrature formulas for Cauchy type singular integrals in Sobolev space. Zbl 1410.65072 Shadimetov, Kh. M.; Hayotov, A. R.; Akhmedov, D. M. 8 2015 On an optimal quadrature formula in Sobolev space \(L^{(m)}_2(0,1)\). Zbl 1343.65024 Shadimetov, Kh. M.; Hayotov, A. R.; Nuraliev, F. A. 8 2013 Construction of interpolation splines minimizing the semi-norm in the space \(K_2(P_m)\). Zbl 1532.41008 Hayotov, Abdullo R. 8 2018 The discrete analogue of a differential operator and its applications. Zbl 1296.65044 Hayotov, Abdullo Rakhmonovich 6 2014 Optimal interpolation formulas with derivative in the space \(L_2^{(m)}(0, 1)\). Zbl 1499.41007 Shadimetov, Kh. M.; Hayotov, A. R.; Nuraliev, F. A. 6 2019 On an optimal quadrature formula for approximation of Fourier integrals in the space \(L_2^{( 1 )}\). Zbl 1437.65011 Hayotov, Abdullo R.; Jeon, Soomin; Lee, Chang-Ock 6 2020 Optimal quadrature formulas with derivatives for Cauchy type singular integrals. Zbl 1426.65032 Akhmedov, D. M.; Hayotov, A. R.; Shadimetov, Kh. M. 5 2018 Construction of optimal interpolation formulas in the Sobolev space. Zbl 1497.65022 Shadimetov, Kh. M.; Hayotov, A. R.; Nuraliev, F. A. 5 2022 Optimal quadrature formulas of Euler-Maclaurin type. Zbl 1410.65075 Shadimetov, Kh. M.; Hayotov, A. R.; Nuraliev, F. A. 4 2016 Optimal quadrature formulas and interpolation splines minimizing the semi-norm in the Hilbert space \(K_2(P_2)\). Zbl 1331.65055 Hayotov, Abdullo R.; Milovanović, Gradimir V.; Shadimetov, Kholmat M. 4 2014 Optimal quadrature formula in the sense of Sard in \(K_2(P_3)\) space. Zbl 1349.65099 Hayotov, Abdullo R.; Milovanović, Gradimir V.; Shadimetov, Kholmat M. 3 2014 Construction of optimal quadrature formulas exact for exponentional-trigonometric functions by Sobolev’s method. Zbl 1473.65020 Boltaev, Aziz; Hayotov, Abdullo; Shadimetov, Kholmat 3 2021 Optimal quadrature formulas for oscillatory integrals in the Sobolev space. Zbl 1509.42028 Shadimetov, Kholmat; Hayotov, Abdullo; Bozarov, Bakhromjon 2 2022 On an optimal quadrature formula for approximation of Fourier integrals in the space \(W_2^{(1,0)}\). Zbl 1488.41077 Babaev, S. S.; Hayotov, A. R.; Khayriev, U. N. 2 2020 An optimal quadrature formula for numerical integration of the right Riemann-Liouville fractional integral. Zbl 07853811 Hayotov, A. R.; Babaev, S. S. 2 2023 Optimal quadrature formula for numerical integration of fractional integrals in a Hilbert space. Zbl 1534.65044 Hayotov, Abdullo; Babaev, Samandar 1 2023 An optimal quadrature formula for numerical integration of the right Riemann-Liouville fractional integral. Zbl 07853811 Hayotov, A. R.; Babaev, S. S. 2 2023 Optimal quadrature formula for numerical integration of fractional integrals in a Hilbert space. Zbl 1534.65044 Hayotov, Abdullo; Babaev, Samandar 1 2023 Construction of optimal interpolation formulas in the Sobolev space. Zbl 1497.65022 Shadimetov, Kh. M.; Hayotov, A. R.; Nuraliev, F. A. 5 2022 Optimal quadrature formulas for oscillatory integrals in the Sobolev space. Zbl 1509.42028 Shadimetov, Kholmat; Hayotov, Abdullo; Bozarov, Bakhromjon 2 2022 Application of optimal quadrature formulas for reconstruction of CT images. Zbl 1460.65025 Hayotov, Abdullo R.; Jeon, Soomin; Shadimetov, Kholmat M. 9 2021 Construction of optimal quadrature formulas exact for exponentional-trigonometric functions by Sobolev’s method. Zbl 1473.65020 Boltaev, Aziz; Hayotov, Abdullo; Shadimetov, Kholmat 3 2021 On an optimal quadrature formula for approximation of Fourier integrals in the space \(L_2^{( 1 )}\). Zbl 1437.65011 Hayotov, Abdullo R.; Jeon, Soomin; Lee, Chang-Ock 6 2020 On an optimal quadrature formula for approximation of Fourier integrals in the space \(W_2^{(1,0)}\). Zbl 1488.41077 Babaev, S. S.; Hayotov, A. R.; Khayriev, U. N. 2 2020 Optimal interpolation formulas in the space \(W_2^{(m,m-1)}\). Zbl 1457.41001 Babaev, S. S.; Hayotov, A. R. 13 2019 Optimal interpolation formulas with derivative in the space \(L_2^{(m)}(0, 1)\). Zbl 1499.41007 Shadimetov, Kh. M.; Hayotov, A. R.; Nuraliev, F. A. 6 2019 Construction of interpolation splines minimizing the semi-norm in the space \(K_2(P_m)\). Zbl 1532.41008 Hayotov, Abdullo R. 8 2018 Optimal quadrature formulas with derivatives for Cauchy type singular integrals. Zbl 1426.65032 Akhmedov, D. M.; Hayotov, A. R.; Shadimetov, Kh. M. 5 2018 Construction of optimal quadrature formulas for Fourier coefficients in Sobolev space \(L_{2}^{(m)}(0,1)\). Zbl 1364.65302 Boltaev, N. D.; Hayotov, A. R.; Shadimetov, Kh. M. 11 2017 Optimal quadrature formulas for Fourier coefficients in \(W_2^{(m,m-1)}\) space. Zbl 07247213 Boltaev, Nurali; Hayotov, Abdullo; Milovanovic, Gradimir; Shadimetov, Kholmat M. 9 2017 Optimal quadrature formulas of Euler-Maclaurin type. Zbl 1410.65075 Shadimetov, Kh. M.; Hayotov, A. R.; Nuraliev, F. A. 4 2016 Optimal quadratures in the sense of sard in a Hilbert space. Zbl 1390.41038 Hayotov, Abdullo R.; Milovanović, Gradimir V.; Shadimetov, Kholmat M. 8 2015 Optimal quadrature formulas for Cauchy type singular integrals in Sobolev space. Zbl 1410.65072 Shadimetov, Kh. M.; Hayotov, A. R.; Akhmedov, D. M. 8 2015 Optimal quadrature formulas in the sense of Sard in \(W_2^{(m,m-1)}\) space. Zbl 1312.65035 Shadimetov, Kholmat M.; Hayotov, Abdullo R. 17 2014 Interpolation splines minimizing a semi-norm. Zbl 1311.41003 Hayotov, Abdullo R.; Milovanović, Gradimir V.; Shadimetov, Kholmat M. 9 2014 Construction of \(D^m\)-splines in \(L_2^{(m)}(0, 1)\) space by Sobolev method. Zbl 1335.65020 Cabada, Alberto; Hayotov, Abdullo R.; Shadimetov, Kh. M. 9 2014 The discrete analogue of a differential operator and its applications. Zbl 1296.65044 Hayotov, Abdullo Rakhmonovich 6 2014 Optimal quadrature formulas and interpolation splines minimizing the semi-norm in the Hilbert space \(K_2(P_2)\). Zbl 1331.65055 Hayotov, Abdullo R.; Milovanović, Gradimir V.; Shadimetov, Kholmat M. 4 2014 Optimal quadrature formula in the sense of Sard in \(K_2(P_3)\) space. Zbl 1349.65099 Hayotov, Abdullo R.; Milovanović, Gradimir V.; Shadimetov, Kholmat M. 3 2014 Construction of interpolation splines minimizing semi-norm in \(W_{2}^{(m,m-1)}(0,1)\) space. Zbl 1273.41007 Shadimetov, Kholmat M.; Hayotov, Abdullo R. 9 2013 On an optimal quadrature formula in Sobolev space \(L^{(m)}_2(0,1)\). Zbl 1343.65024 Shadimetov, Kh. M.; Hayotov, A. R.; Nuraliev, F. A. 8 2013 Optimal quadrature formula in \(K_2(P_2)\) space. Zbl 1257.41019 Shadimetov, Kh. M.; Hayotov, A. R.; Azamov, S. S. 8 2012 Optimal quadrature formulas with positive coefficients in \(L_2^{(m)}(0, 1)\) space. Zbl 1204.65029 Shadimetov, Kh. M.; Hayotov, A. R. 18 2011 On an optimal quadrature formula in the sense of Sard. Zbl 1225.65033 Hayotov, Abdullo Rakhmonovich; Milovanović, Gradimir V.; Shadimetov, Kholmat Mahkambaevich 13 2011 all cited Publications top 5 cited Publications all top 5 Cited by 43 Authors 31 Shadimetov, Kholmat Mahkambaevich 23 Hayotov, Abdullo Rakhmonovich 6 Xu, Guiqiao 5 Boltaev, Aziz Kuzievich 5 Milovanović, Gradimir V. 5 Nuraliev, Farhod A. 3 Akhmedov, Dilshod M. 3 Mamatova, N. Kh. 3 Wang, Hui 2 Babaev, S. S. 2 Babaev, Samandar 2 Jeon, Soomin 2 Parovik, Roman Ivanovich 1 Aloev, Rakhmatillo Djurayevich 1 Azamov, S. S. 1 Boltaev, N. D. 1 Boltaev, Nurali 1 Bozarov, Bakhromjon 1 Cabada, Alberto 1 Chen, Ligeng 1 Chen, Xiaodiao 1 Daliev, Bakhtiyor S. 1 Davronov, J. R. 1 Doniyorov, Negmurod Normurodovich 1 Du, Qungui 1 Guo, Dandan 1 Hayotov, Abdullo Rahmonovich 1 Jin, Song 1 Khayriev, U. N. 1 Khayriev, Umedjon 1 Khudoyberganov, Mirzoali Urazaliyevich 1 Korytov, Igor’ Vital’evich 1 Lee, Chang-Ock 1 Liu, Yongping 1 Liu, Zehong 1 Ma, Mengjin 1 Mirzakabilov, R. N. 1 Novak, Erich 1 Rasulov, R. G. 1 Wang, Yigang 1 Wen, Qi 1 Yu, Xiaochen 1 Zhang, Shun all top 5 Cited in 27 Serials 5 Lobachevskii Journal of Mathematics 5 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki 4 Applied Mathematics and Computation 4 Journal of Mathematical Sciences (New York) 3 Calcolo 3 Journal of Computational and Applied Mathematics 3 Journal of Inequalities and Applications 2 Numerical Algorithms 2 Russian Mathematics 2 Filomat 2 Results in Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Lithuanian Mathematical Journal 1 Rocky Mountain Journal of Mathematics 1 Journal of Approximation Theory 1 Results in Mathematics 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 Acta Mathematica Sinica. English Series 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Advances in Difference Equations 1 Numerical Mathematics: Theory, Methods and Applications 1 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 1 Journal of Mathematical Research with Applications 1 Journal of Applied Analysis and Computation 1 Journal of Siberian Federal University. Mathematics & Physics all top 5 Cited in 11 Fields 41 Numerical analysis (65-XX) 33 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 3 Real functions (26-XX) 3 Partial differential equations (35-XX) 3 Integral equations (45-XX) 2 Difference and functional equations (39-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX) Citations by Year