Mathematical Approximation and Integration

79 ta ish

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

   MaqolaMathematical functions and polynomialsNumerical Algorithms201636 iqtibos

   ABIABI:AkademIndex/2026.other.084334

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

   Samandar Babaev, A.R. Hayotov

   MaqolaMathematical functions and polynomialsCALCOLO201935 iqtibos

   ABIABI:AkademIndex/2019.article.000041

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

   MaqolaOAOchiq kirishMathematical functions and polynomialsJournal of Computational and Applied Mathematics201035 iqtibos

   ABIABI:AkademIndex/2026.other.066561

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

   A.R. Hayotov, Soomin Jeon, Kholmat Shadimetov

   MaqolaOAOchiq kirishMathematical functions and polynomialsJournal of Computational and Applied Mathematics202030 iqtibos

   ABIABI:AkademIndex/2020.article.000103

5. Interpolation splines minimizing a semi-norm

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

   MaqolaAdvanced Numerical Analysis TechniquesCALCOLO201329 iqtibos

   ABIABI:AkademIndex/2013.article.000045

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

   Kholmat Shadimetov, A.R. Hayotov, Bakhromjon Bozarov

   MaqolaOAOchiq kirishMathematical functions and polynomialsJournal of Inequalities and Applications202223 iqtibos

   ABIABI:AkademIndex/2022.article.000162

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

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

   MaqolaOAOchiq kirishDifferential Equations and Boundary ProblemsFilomat201922 iqtibos

   ABIABI:AkademIndex/2026.other.099943

8. Construction of Optimal Interpolation Formulas in the Sobolev Space

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

   MaqolaAdvanced Numerical Analysis TechniquesJournal of Mathematical Sciences202219 iqtibos

   ABIABI:AkademIndex/2022.article.000289

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

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

   MaqolaOAOchiq kirishSpectral Theory in Mathematical PhysicsJournal of Mathematical Analysis and Applications202119 iqtibos

   ABIABI:AkademIndex/2026.other.251745

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

    O. I. Jalolov

    MaqolaMathematical Approximation and IntegrationAIP conference proceedings202110 iqtibos

    ABIABI:AkademIndex/2021.article.000340

11. An Exponential-Trigonometric Optimal Interpolation Formula

    Kh. M. Shadimetov, A.K. Boltaev

    MaqolaMathematical Approximation and IntegrationLobachevskii Journal of Mathematics202310 iqtibos

    ABIABI:AkademIndex/2023.article.000935

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

    Farhod Nuraliev

    MaqolaMathematical functions and polynomialsAIP conference proceedings20219 iqtibos

    ABIABI:AkademIndex/2021.article.000484

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

    J. I. Abdullaev, Isroil A. Ikromov

    MaqolaSpectral Theory in Mathematical PhysicsTheoretical and Mathematical Physics20079 iqtibos

    ABIABI:AkademIndex/2026.other.192906

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

    Shavkat Alimov

    MaqolaMathematical Approximation and IntegrationJournal of Fourier Analysis and Applications20048 iqtibos

    ABIABI:AkademIndex/2004.article.000073

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

    A.R. Hayotov, Umedjon Khayriev

    MaqolaOAOchiq kirishMathematical Approximation and IntegrationВестник КРАУНЦ Физико-математические науки20227 iqtibos

    ABIABI:AkademIndex/2022.article.000503

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

    Bakhromjon Bozarov, Bakhtiyor Daliyev, Dadakhon Tukxtasinov +3

    MaqolaOAOchiq kirishNumerical methods in inverse problemsE3S Web of Conferences20247 iqtibos

    ABIABI:AkademIndex/2024.article.000526

17. Optimal quadrature formulas with derivatives in a periodic space

    Kholmat Shadimetov, Нилуфар Хусеновна Маматова

    MaqolaMathematical functions and polynomialsAIP conference proceedings20217 iqtibos

    ABIABI:AkademIndex/2026.other.099949

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

    MaqolaNumerical methods in inverse problems2019 International Conference on Information Science and Communications Technologies (ICISCT)20196 iqtibos

    ABIABI:AkademIndex/2019.article.000309

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

    MaqolaMathematical functions and polynomialsJournal of Computational and Applied Mathematics20245 iqtibos

    ABIABI:AkademIndex/2024.article.001189

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

    Kholmat Shadimetov, A.R. Hayotov, Botir Abdikayimov

    MaqolaOAOchiq kirishMathematical functions and polynomialsAlgorithms20225 iqtibos

    ABIABI:AkademIndex/2026.other.297510

21. On the Lp-Bound for Trigonometric Integrals

    Akbar R. Safarov

    MaqolaAlgebraic and Geometric AnalysisAnalysis Mathematica20184 iqtibos

    ABIABI:AkademIndex/2018.article.000203

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

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

    MaqolaSpectral Theory in Mathematical PhysicsLobachevskii Journal of Mathematics20224 iqtibos

    ABIABI:AkademIndex/2022.article.000509

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

    MaqolaMathematical functions and polynomialsAIP conference proceedings20244 iqtibos

    ABIABI:AkademIndex/2024.article.001240

24. On extremal distributions and sharp $\bolds{L_p}$-bounds\\ for sums of multilinear forms

    Rustam Ibragimov, Шатургун Шарахметов, Víctor Peña

    MaqolaOAOchiq kirishMathematical Approximation and IntegrationThe Annals of Probability20034 iqtibos

    ABIABI:AkademIndex/2026.other.192670

25. On multiple fourier series of piecewise smooth functions

    Ravshan Ashurov

    MaqolaMathematical Approximation and IntegrationDoklady Mathematics20073 iqtibos

    ABIABI:AkademIndex/2007.article.000153