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Ish: Optimization of the Approximate Integration Formula Using the Discrete Analogue of a High-Order Differential Operator

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Optimal quadrature formulas in the sense of Sard in $$W_2^{(m,m-1)}$$ space
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On optimal quadrature formulae
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On the weights of Sard's quadrature formulas
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On an optimal quadrature formula in the sense of Sard
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MaqolaMathematical Inequalities and ApplicationsNumerical Algorithms201029 iqtibos
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Best Approximate Integration Formulas
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Application of optimal quadrature formulas for reconstruction of CT images
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MaqolaMathematical functions and polynomialsJournal of Computational and Applied Mathematics202028 iqtibos
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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>
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MaqolaNumerical methods in inverse problemsJournal of Computational and Applied Mathematics202027 iqtibos
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Optimal quadratures in the sense of Sard in a Hilbert space
A.R. Hayotov, Gradimir V. Milovanović, Kholmat Shadimetov
MaqolaMathematical functions and polynomialsApplied Mathematics and Computation201527 iqtibos
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Construction of interpolation splines minimizing semi-norm in $W_{2}^{(m,m-1)}(0,1)$ space
Kholmat Shadimetov, A.R. Hayotov
MaqolaAdvanced Numerical Analysis TechniquesBIT Numerical Mathematics201225 iqtibos
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On Monosplines of Least Square Deviation and Best Quadrature Formulae II
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Spline Functions: Basic Theory
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Construction of Interpolation Splines Minimizing the Semi-norm in the Space K2(Pm)
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MaqolaAdvanced Numerical Analysis TechniquesJournal of Siberian Federal University Mathematics & Physics201816 iqtibos
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Construction of Optimal Quadrature Formulas Exact for Exponentional-trigonometric Functions by Sobolev’s Method
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The discrete analogue of a differential operator and its applications
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Meishe Isakovich Levin, Jury Girshovich
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Linear Approximation
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On optimal quadrature formulas
A. V. Gavrilov
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On equidistant cubic spline interpolation
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