Works citing this work

26 works

Work: Interpolation splines minimizing a semi-norm

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Construction of Interpolation Splines Minimizing the Semi-norm in the Space K2(Pm)
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An exponential-trigonometric spline minimizing a seminorm in a Hilbert space
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The discrete analogue of a differential operator and its applications
A.R. Hayotov
ArticleMathematical functions and polynomialsLithuanian Mathematical Journal201413 citations
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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
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On an exponential-trigonometric natural interpolation spline
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Optimal Quadrature Formulas and Interpolation Splines Minimizing the Semi-Norm in the Hilbert Space $$K_{2}(P_{2})$$
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Optimal quadrature formulas with derivatives in a periodic space
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On the problem of optimal interpolation of functions
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On the Optimal Interpolation of Functions
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Compound Cubature Formulas on a Lattice
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Construction of natural L spline in W2,σ(2,1) space
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Compound cubature formulas on a lattice
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Construction of optimal quadrature formulas exact for exponentional-trigonometric functions by Sobolev's method
A.K. Boltaev, A.R. Hayotov, Kh. M. Shadimetov
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To construct basis functions in W2(1,0) space to finite element method for 1D two-point boundary-value problems
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The discrete convolution operator Dm[β]
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Optimal formulas for approximate integration in the Sobolev factor space
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Construction of an optimal interpolation formula exact for trigonometric functions
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Coefficients of optimal quadrature formulas in the space of differentiable functions
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Optimization of difference formulas for solving differential equations in the Hilbert space
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Optimal coefficients of an implicit difference formula in the Hilbert space
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Optimal coefficients of the quadrature formulas in the space K3,ω
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Interpolation splines minimizing semi-norm in S2(P2) space
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Оптимизация погрешности экспоненциально-тригонометрической интерполяционной формулы
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