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Work: Optimal Quadrature Formulas for the Sobolev Space $H^1$ H 1
On an optimal quadrature formula for approximation of Fourier integrals in the space <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e947" altimg="si5.svg"><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:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math>
A.R. Hayotov, Soomin Jeon, Chang-Ock Lee
ArticleNumerical methods in inverse problemsJournal of Computational and Applied Mathematics202027 citationsABIOptimal 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 citationsABIThe Optimal Quadrature Formula for the Approximate Calculation of Fourier Coefficients in the Space $$ \widetilde {W_{2} }^{(2,1)}$$ of Periodic Functions
Kholmat Shadimetov, A.R. Hayotov, Umedjon Khayriev
ChapterMathematical functions and polynomialsSpringer optimization and its applications20250 citationsABI