Works citing this work

25 works

Work: Construction of interpolation splines minimizing semi-norm in $W_{2}^{(m,m-1)}(0,1)$ space

Optimal interpolation formulas in the space $$W_2^{(m,m-1)}$$
Samandar Babaev, A.R. Hayotov
ArticleMathematical functions and polynomialsCALCOLO201934 citations
ABI
Optimal quadrature formulas for non-periodic functions in Sobolev space and its application to CT image reconstruction
A.R. Hayotov, Seok Hwi Jeon, C.-O. Lee +1
ArticleNumerical methods in inverse problemsFilomat202127 citations
ABI
Optimal interpolation formulas with derivative in the space L(m)2(0,1)
M.Kh. Shadimetov, A.R. Hayotov, F.A. Nuraliev
ArticleDifferential Equations and Boundary ProblemsFilomat201922 citations
ABI
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
Construction of Optimal Quadrature Formulas Exact for Exponentional-trigonometric Functions by Sobolev’s Method
A.K. Boltaev, A.R. Hayotov, Kholmat Shadimetov
ArticleMathematical functions and polynomialsActa Mathematica Sinica English Series202114 citations
ABI
An exponential-trigonometric spline minimizing a seminorm in a Hilbert space
Kholmat Shadimetov, A.K. Boltaev
ArticleAdvanced Numerical Analysis TechniquesAdvances in Difference Equations202013 citations
ABI
The discrete analogue of a differential operator and its applications
A.R. Hayotov
ArticleMathematical functions and polynomialsLithuanian Mathematical Journal201413 citations
ABI
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
On an exponential-trigonometric natural interpolation spline
A.K. Boltaev, D.M. Akhmedov
ArticleAdvanced Numerical Analysis TechniquesAIP conference proceedings202111 citations
ABI
Optimal Quadrature Formulas and Interpolation Splines Minimizing the Semi-Norm in the Hilbert Space $$K_{2}(P_{2})$$
A.R. Hayotov, Gradimir V. Milovanović, Kholmat Shadimetov
ChapterAdvanced Numerical Analysis Techniques201410 citations
ABI
Optimal quadrature formulas with derivatives in a periodic space
Kholmat Shadimetov, Нилуфар Хусеновна Маматова
ArticleMathematical functions and polynomialsAIP conference proceedings20217 citations
ABI
Optimization of the Approximate Integration Formula Using the Discrete Analogue of a High-Order Differential Operator
Kholmat Shadimetov, A.K. Boltaev, Roman Parovik
ArticleIterative Methods for Nonlinear EquationsMathematics20236 citations
ABI
An optimal interpolation formula of Hermite type in the Sobolev space
A.R. Hayotov, Samandar Babaev, Nurali Olimov
ArticleAdvanced Numerical Analysis TechniquesFilomat20246 citations
ABI
Construction of natural L spline in W2,σ(2,1) space
Samandar Babaev, Nurali Olimov, Shafoat Imomova +1
ArticleAdvanced Numerical Analysis TechniquesAIP conference proceedings20243 citations
ABI
System for finding the optimal coefficients of an interpolation spline
Kholmat Shadimetov, A.K. Boltaev
ArticleAdvanced Numerical Analysis TechniquesAIP conference proceedings20242 citations
ABI
Application of Machine Learning Methods for Signal Processing in Piecewise-Polynomial Bases
Hakimjon Zaynidinov, Javohir Nurmurodov, Qobilov Sirojiddin
ArticleNumerical Methods and Algorithms20231 citations
ABI
To construct basis functions in W2(1,0) space to finite element method for 1D two-point boundary-value problems
Samandar Babaev, Javlon Davronov, Jakhongir Mirzakulov +2
ArticleNumerical methods in engineeringAIP conference proceedings20241 citations
ABI
The discrete convolution operator Dm[β]
Kholmat Shadimetov, Shermamat Esanov
ArticleDifferential Equations and Boundary ProblemsAIP conference proceedings20211 citations
ABI
Экстремальная функция интерполяционных формул в пространстве W2(2,0)
A.K. Boltaev, Kh. M. Shadimetov, F.A. Nuraliev
ArticleAdvanced Numerical Analysis TechniquesВестник КРАУНЦ Физико-математические науки20211 citations
ABI
Construction of an optimal interpolation formula exact for trigonometric functions
A.R. Hayotov, Negmurod Doniyorov
ArticleAdvanced Numerical Analysis TechniquesAIP conference proceedings20240 citations
ABI
Coefficients of optimal quadrature formulas in the space of differentiable functions
Kholmat Shadimetov, Farhod Nuraliev, Siroj Azamov +1
ArticleMathematical functions and polynomialsAIP conference proceedings20240 citations
ABI
Optimal coefficients of an implicit difference formula in the Hilbert space
Kholmat Shadimetov, R.S. Karimov
ArticleDifferential Equations and Numerical MethodsAIP conference proceedings20240 citations
ABI
Interpolation splines minimizing semi-norm in S2(P2) space
Kholmat Shadimetov, Siroj Azamov
ArticleAdvanced Numerical Analysis TechniquesAIP conference proceedings20240 citations
ABI
An optimal interpolation formula with derivatives in Sobolev space
A. R. Hayotov, S. S. Babaev, N. N. Olimov
ArticleMathematical functions and polynomialsIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20260 citations
ABI
An Optimal Interpolation Formula with Derivatives in Sobolev Space
A. R. Hayotov, S. S. Babaev, N. N. Olimov
ArticleDifferential Equations and Boundary ProblemsRussian Mathematics20260 citations
ABI