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Mathematical Approximation and Integration

Работ: 79

  1. Construction of optimal quadrature formulas for Fourier coefficients in Sobolev space L 2 ( m ) ( 0 , 1 ) $L_{2}^{(m)}(0,1)$

    Nurali D. Boltaev, A.R. Hayotov, Kh. M. Shadimetov

    СтатьяMathematical functions and polynomialsNumerical Algorithms2016Цитирований: 35
    ABI

  2. Optimal interpolation formulas in the space $$W_2^{(m,m-1)}$$

    Samandar Babaev, A.R. Hayotov

    СтатьяMathematical functions and polynomialsCALCOLO2019Цитирований: 34
    ABI

  3. Optimal quadrature formulas with positive coefficients in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>m</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>space

    Kh. M. Shadimetov, A.R. Hayotov

    СтатьяMathematical functions and polynomialsJournal of Computational and Applied Mathematics2010Цитирований: 33
    ABI

  4. Application of optimal quadrature formulas for reconstruction of CT images

    A.R. Hayotov, Soomin Jeon, Kholmat Shadimetov

    СтатьяMathematical functions and polynomialsJournal of Computational and Applied Mathematics2020Цитирований: 28
    ABI

  5. Interpolation splines minimizing a semi-norm

    A.R. Hayotov, Gradimir V. Milovanović, Kholmat Shadimetov

    СтатьяAdvanced Numerical Analysis TechniquesCALCOLO2013Цитирований: 26
    ABI

  6. Optimal quadrature formulas for oscillatory integrals in the Sobolev space

    Kholmat Shadimetov, A.R. Hayotov, Bakhromjon Bozarov

    СтатьяMathematical functions and polynomialsJournal of Inequalities and Applications2022Цитирований: 23
    ABI

  7. Optimal interpolation formulas with derivative in the space L(m)2(0,1)

    M.Kh. Shadimetov, A.R. Hayotov, F.A. Nuraliev

    СтатьяDifferential Equations and Boundary ProblemsFilomat2019Цитирований: 22
    ABI

  8. Construction of Optimal Interpolation Formulas in the Sobolev Space

    Kh. M. Shadimetov, A.R. Hayotov, F.A. Nuraliev

    СтатьяAdvanced Numerical Analysis TechniquesJournal of Mathematical Sciences2022Цитирований: 18
    ABI

  9. Bound states of Schrödinger-type operators on one and two dimensional lattices

    Shokhrukh Yu. Kholmatov, S. N. Lakaev, Firdavsjon M. Almuratov

    СтатьяSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications2021Цитирований: 15
    ABI

  10. Weight optimal order of convergence cubature formulas in Sobolev space

    O. I. Jalolov

    СтатьяMathematical Approximation and IntegrationAIP conference proceedings2021Цитирований: 9
    ABI

  11. Cubature formulas of Hermite type in the space of periodic functions of two variables

    Farhod Nuraliev

    СтатьяMathematical functions and polynomialsAIP conference proceedings2021Цитирований: 9
    ABI

  12. Finiteness of the number of eigenvalues of the two-particle Schrödinger operator on a lattice

    J. I. Abdullaev, Isroil A. Ikromov

    СтатьяSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics2007Цитирований: 9
    ABI

  13. Sets of Uniform Convergence of Fourier Expansions of Piecewise Smooth Functions

    Shavkat Alimov

    СтатьяMathematical Approximation and IntegrationJournal of Fourier Analysis and Applications2004Цитирований: 8
    ABI

  14. An Exponential-Trigonometric Optimal Interpolation Formula

    Kh. M. Shadimetov, A.K. Boltaev

    СтатьяMathematical Approximation and IntegrationLobachevskii Journal of Mathematics2023Цитирований: 8
    ABI

  15. Оптимальные квадратурные формулы в пространстве W2(m,m−1) периодических функций

    A.R. Hayotov, Umedjon Khayriev

    СтатьяMathematical Approximation and IntegrationВестник КРАУНЦ Физико-математические науки2022Цитирований: 7
    ABI

  16. Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space

    Bakhromjon Bozarov, Bakhtiyor Daliyev, Dadakhon Tukxtasinov +3

    СтатьяNumerical methods in inverse problemsE3S Web of Conferences2024Цитирований: 7
    ABI

  17. Optimal quadrature formulas with derivatives in a periodic space

    Kholmat Shadimetov, Нилуфар Хусеновна Маматова

    СтатьяMathematical functions and polynomialsAIP conference proceedings2021Цитирований: 7
    ABI

  18. Analytical and numerical reconstruction of internal structure of the objects in a family of straight-line segments

    Niyetbay Uteuliev, Gafur Djaykov, Sh.A. Yadgarov

    СтатьяNumerical methods in inverse problems2019 International Conference on Information Science and Communications Technologies (ICISCT)2019Цитирований: 5
    ABI

  19. Optimal quadrature formulas for approximating strongly oscillating integrals in the Hilbert space <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si6.svg" display="inline" id="d1e1958"><mml:msubsup><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mo>˜</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math> of periodic functions

    Kholmat Shadimetov, A.R. Hayotov, Umedjon Khayriev

    СтатьяMathematical functions and polynomialsJournal of Computational and Applied Mathematics2024Цитирований: 5
    ABI

  20. On an Optimal Quadrature Formula in a Hilbert Space of Periodic Functions

    Kholmat Shadimetov, A.R. Hayotov, Botir Abdikayimov

    СтатьяMathematical functions and polynomialsAlgorithms2022Цитирований: 5
    ABI

  21. On the Lp-Bound for Trigonometric Integrals

    Akbar R. Safarov

    СтатьяAlgebraic and Geometric AnalysisAnalysis Mathematica2018Цитирований: 4
    ABI

  22. On a $$\boldsymbol{q}$$-Dirichlet–Neumann Problem with Discontinuity Conditions

    Döne Karahan, Kh. R. Mamedov, T. K. Yuldashev

    СтатьяSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics2022Цитирований: 4
    ABI

  23. The norm of the error functional for the Euler-Maclaurin type quadrature formulas in the space W2(2k,2k−1)(0,1)

    Rashidjon Rasulov, Diyorakhon Mahkamova

    СтатьяMathematical functions and polynomialsAIP conference proceedings2024Цитирований: 4
    ABI

  24. On multiple fourier series of piecewise smooth functions

    Ravshan Ashurov

    СтатьяMathematical Approximation and IntegrationDoklady Mathematics2007Цитирований: 3
    ABI

  25. Construction of cubature formulas with minimal number of nodes

    Gaybulla Ismatullaev, Sayfiddin Bakhromov, Ravshan Mirzakabilov

    СтатьяMathematical Approximation and IntegrationAIP conference proceedings2021Цитирований: 3
    ABI