Skip to main content
AkademIndex

Products

For developers

AkademBaseOpen API for the ecosystem

Mathematical Approximation and Integration

79 works

  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

    ArticleMathematical functions and polynomialsNumerical Algorithms201635 citations
    ABI

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

    Samandar Babaev, A.R. Hayotov

    ArticleMathematical functions and polynomialsCALCOLO201934 citations
    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

    ArticleMathematical functions and polynomialsJournal of Computational and Applied Mathematics201033 citations
    ABI

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

    A.R. Hayotov, Soomin Jeon, Kholmat Shadimetov

    ArticleMathematical functions and polynomialsJournal of Computational and Applied Mathematics202028 citations
    ABI

  5. Interpolation splines minimizing a semi-norm

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

    ArticleAdvanced Numerical Analysis TechniquesCALCOLO201326 citations
    ABI

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

    Kholmat Shadimetov, A.R. Hayotov, Bakhromjon Bozarov

    ArticleMathematical functions and polynomialsJournal of Inequalities and Applications202223 citations
    ABI

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

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

    ArticleDifferential Equations and Boundary ProblemsFilomat201922 citations
    ABI

  8. Construction of Optimal Interpolation Formulas in the Sobolev Space

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

    ArticleAdvanced Numerical Analysis TechniquesJournal of Mathematical Sciences202218 citations
    ABI

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

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

    ArticleSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications202115 citations
    ABI

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

    O. I. Jalolov

    ArticleMathematical Approximation and IntegrationAIP conference proceedings20219 citations
    ABI

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

    Farhod Nuraliev

    ArticleMathematical functions and polynomialsAIP conference proceedings20219 citations
    ABI

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

    J. I. Abdullaev, Isroil A. Ikromov

    ArticleSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20079 citations
    ABI

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

    Shavkat Alimov

    ArticleMathematical Approximation and IntegrationJournal of Fourier Analysis and Applications20048 citations
    ABI

  14. An Exponential-Trigonometric Optimal Interpolation Formula

    Kh. M. Shadimetov, A.K. Boltaev

    ArticleMathematical Approximation and IntegrationLobachevskii Journal of Mathematics20238 citations
    ABI

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

    A.R. Hayotov, Umedjon Khayriev

    ArticleMathematical Approximation and IntegrationВестник КРАУНЦ Физико-математические науки20227 citations
    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

    ArticleNumerical methods in inverse problemsE3S Web of Conferences20247 citations
    ABI

  17. Optimal quadrature formulas with derivatives in a periodic space

    Kholmat Shadimetov, Нилуфар Хусеновна Маматова

    ArticleMathematical functions and polynomialsAIP conference proceedings20217 citations
    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

    ArticleNumerical methods in inverse problems2019 International Conference on Information Science and Communications Technologies (ICISCT)20195 citations
    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

    ArticleMathematical functions and polynomialsJournal of Computational and Applied Mathematics20245 citations
    ABI

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

    Kholmat Shadimetov, A.R. Hayotov, Botir Abdikayimov

    ArticleMathematical functions and polynomialsAlgorithms20225 citations
    ABI

  21. On the Lp-Bound for Trigonometric Integrals

    Akbar R. Safarov

    ArticleAlgebraic and Geometric AnalysisAnalysis Mathematica20184 citations
    ABI

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

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

    ArticleSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20224 citations
    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

    ArticleMathematical functions and polynomialsAIP conference proceedings20244 citations
    ABI

  24. On multiple fourier series of piecewise smooth functions

    Ravshan Ashurov

    ArticleMathematical Approximation and IntegrationDoklady Mathematics20073 citations
    ABI

  25. Construction of cubature formulas with minimal number of nodes

    Gaybulla Ismatullaev, Sayfiddin Bakhromov, Ravshan Mirzakabilov

    ArticleMathematical Approximation and IntegrationAIP conference proceedings20213 citations
    ABI