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Works cited by this work

13 works

Work: On the Optimal Interpolation of Functions

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

    Samandar Babaev, A.R. Hayotov

    ArticleMathematical functions and polynomialsCALCOLO201934 citations
    ABI

  2. Interpolation splines minimizing a semi-norm

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

    ArticleAdvanced Numerical Analysis TechniquesCALCOLO201326 citations
    ABI

  3. 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

  4. Construction of Interpolation Splines Minimizing the Semi-norm in the Space K2(Pm)

    A.R. Hayotov

    ArticleAdvanced Numerical Analysis TechniquesJournal of Siberian Federal University Mathematics & Physics201816 citations
    ABI

  5. A Smoothest Curve Approximation

    John C. Holladay

    Article195713 citations
    ABI

  6. Construction of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si13.gif" overflow="scroll"><mml:mrow><mml:msup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>-splines in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si14.gif" overflow="scroll"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mn>0</mml:mn><mml:mtext>,</mml:mtext><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math> space by Sobolev method

    Alberto Cabada, A.R. Hayotov, Kh. M. Shadimetov

    ArticleAdvanced Numerical Analysis TechniquesApplied Mathematics and Computation201413 citations
    ABI

  7. Construction of optimal grid interpolation formulas in Sobolev space $\widetilde{L_2^m}(H)$ of periodic function of $n$ variables by Sobolev method

    Нилуфар Хусеновна Маматова, A.R. Hayotov, Kholmatvoi Makhkambaevich Shadimetov

    Article20137 citations
    ABI

  8. Untitled

    Other5 citations
    ABI

  9. Approximation et optimisation

    P. J. Laurent

    Book19723 citations
    ABI

  10. A sharp error estimate of the best approximation by algebraic polynomials in the weighted space L 2(−1, 1)

    R. Z. Dautov

    Article20132 citations
    ABI

  11. Direct and Inverse Theorems of the Approximation of Functions by Algebraic Polynomials and Splines in the Norms of the Sobolev Space

    R. Z. Dautov

    Article20222 citations
    ABI

  12. Untitled

    Other1 citations
    ABI

  13. Untitled

    Other1 citations
    ABI