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Ish: 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>
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
MaqolaOchiq kirishMathematical functions and polynomialsJournal of Computational and Applied Mathematics201035 iqtibosABIEfficient quadrature of highly oscillatory integrals using derivatives
Arieh Iserles, Syvert P. Nørsett
Maqola200514 iqtibosABINumerical calculation of integrals involving oscillatory and singular kernels and some applications of quadratures
MaqolaOchiq kirish199812 iqtibosABIComplexity of oscillatory integration for univariate Sobolev spaces
Erich Novak, Mario Ullrich, Henryk Woźniakowski
MaqolaOchiq kirish201411 iqtibosABI