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Optimal quadrature formulas for oscillatory integrals in the Sobolev space
Journal of Inequalities and Applications, 2022 This work studies the problem of construction of optimal quadrature formulas in the sense of Sard in the space L 2 ( m ) ( 0 , 1 ) $L_{2}^{(m)}(0,1)$ for numerical calculation of Fourier coefficients. Using Sobolev’s method, we obtain new sine and cosine
Kholmat Shadimetov +2 more
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Dynamic Programming for General Linear Quadratic Optimal Stochastic Control with Random Coefficients [PDF]
SIAM Journal of Control and Optimization, 2014 We are concerned with the linear-quadratic optimal stochastic control problem with random coefficients. Under suitable conditions, we prove that the value field $V(t,x,\omega), (t,x,\omega)\in [0,T]\times R^n\times \Omega$, is quadratic in $x$, and has ...
Kt K, Shanjian Tang
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Optimal Estimation of Brownian Penalized Regression Coefficients [PDF]
International Journal of Mathematics, Statistics and Operations Research, 2021 In this paper we introduce a new methodology to determine an optimal coefficient of penalized functional regression. We assume the dependent, independent variables and the regression coefficients are functions of time and error dynamics follow a ...
Paramahansa Pramanik, Alan M. Polansky
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Pseudo-random numbers and optimal coefficients☆
Advances in Mathematics, 1977 H. Niederreiter
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Coefficient Groups Inducing Nonbranched Optimal Transport [PDF]
Zeitschrift für Analysis und ihre Anwendungen, 2018 In this work we consider an optimal transport problem with coefficients in a normed Abelian group G , and extract a purely intrinsic condition on G that guarantees ...
Petrache, Mircea, Zust, Roger
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Optimal quadrature formulas in the space W2(m,m−1) of periodic functions
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 This paper is devoted to the process of finding the upper bound for the absolute error of the optimal quadrature formula in the space W2(m,m−1) of real-valued, periodic functions. For this the extremal function of the quadrature formula is used.
Hayotov, A.R., Khayriev, U.N.
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On Realized Gain-Optimal Feeding Coefficients of Antenna Arrays
European Conference on Antennas and Propagation, 2023 The feeding coefficients maximizing the realized gain are often solved from an eigenvalue problem. We derive an alternative method for obtaining the optimal feed coefficients in this paper and show that it gives the same solution.
Albert Salmi, A. Lehtovuori, V. Viikari
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Construction of optimal interpolation formula exact for trigonometric functions by Sobolev’s method
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 The paper is devoted to derivation of the optimal interpolation formula in W2(0,2)(0,1) Hilbert space by Sobolev’s method. Here the interpolation formula consists of a linear combination ΣNβ=0Cβφ(xβ) of the given values of a function φ from the space ...
Shadimetov, Kh.M. +2 more
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Optimal sliding friction coefficients for isolated viaducts and bridges: A comparison study
Structural Control & Health Monitoring, 2021 The aim of this work is to evaluate the influence of the pier–abutment–deck interaction on the seismic response of bridges isolated by single concave sliding pendulum isolators (friction pendulum system [FPS]) through a comparison with the results of the
P. Castaldo, G. Amendola
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An Optimal Choice of Profile Shift Coefficients for Spur Gears
Machines, 2021 Methods used earlier for choosing profile shift coefficients were based on presumed advantages without physical proof justifying them. In this paper, a new method is proposed which guarantees a positive influence on gear failures and the operational ...
Zoltán Tomori
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