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Works cited by this work

51 works

Work: Optimal Quadrature Formulas and Interpolation Splines Minimizing the Semi-Norm in the Hilbert Space $K_{2}(P_{2})$

  1. Untitled

    Other1117 citations
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  2. Untitled

    Other72 citations
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  3. Best Approximate Integration Formulas; Best Approximation Formulas

    Arthur Sard

    Article194957 citations
    ABI

  4. The Coefficients of Optimal Quadrature Formulas

    С. Л. Соболев

    Chapter200644 citations
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  5. Optimal quadrature formulas in the sense of Sard in $$W_2^{(m,m-1)}$$ space

    Kholmat Shadimetov, A.R. Hayotov

    ArticleMathematical functions and polynomialsCALCOLO201338 citations
    ABI

  6. On optimal quadrature formulae

    Flavia Lanzara

    Article200036 citations
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  7. 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

  8. On the weights of Sard's quadrature formulas

    Peter Köhler

    Article198831 citations
    ABI

  9. The Theory of Cubature Formulas

    С. Л. Соболев, V. L. Vaskevich

    Book199730 citations
    ABI

  10. On Monosplines of Least Deviation and Best Quadrature Formulae

    I. J. Schoenberg

    Article196529 citations
    ABI

  11. On an optimal quadrature formula in the sense of Sard

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

    ArticleMathematical Inequalities and ApplicationsNumerical Algorithms201029 citations
    ABI

  12. Best Approximate Integration Formulas

    Leroy F. Meyers, Arthur Sard

    Article195029 citations
    ABI

  13. Interpolation splines minimizing a semi-norm

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

    ArticleAdvanced Numerical Analysis TechniquesCALCOLO201326 citations
    ABI

  14. Construction of interpolation splines minimizing semi-norm in $W_{2}^{(m,m-1)}(0,1)$ space

    Kholmat Shadimetov, A.R. Hayotov

    ArticleAdvanced Numerical Analysis TechniquesBIT Numerical Mathematics201225 citations
    ABI

  15. On Monosplines of Least Square Deviation and Best Quadrature Formulae II

    I. J. Schoenberg

    Article196623 citations
    ABI

  16. On semicardinal quadrature formulae

    I. J. Schoenberg, S. D. Silliman

    Article197423 citations
    ABI

  17. Generalized functions in mathematical physics

    V. S. Vladimirov

    Book197922 citations
    ABI

  18. SOME PROBLEMS ON OPTIMAL QUADRATURE

    Petru Blaga, Gheorghe Coman

    Article200720 citations
    ABI

  19. Monosplines of minimal norm and the best quadrature formulae

    А. А. Женсыкбаев

    Article198119 citations
    ABI

  20. The Theory of Splines and Their Applications

    Book196719 citations
    ABI

  21. Untitled

    Other18 citations
    ABI

  22. Multidimensional Minimizing Splines

    Arcangéli, Rémi, Rémi Arcangéli, Marı́a Cruz López de Silanes +2

    Book200417 citations
    ABI

  23. Spline Functions: Basic Theory

    Larry L. Schumaker

    Book200717 citations
    ABI

  24. On an optimal quadrature formula in Sobolev space<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si27.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>

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

    ArticleMathematical functions and polynomialsJournal of Computational and Applied Mathematics201217 citations
    ABI

  25. Optimal quadrature formulas based on the '-function method

    Gheorghe Coman

    Article200515 citations
    ABI