Results 1 to 10 of about 1,376,473 (288)
Parabolic time dependent source identification problem with involution and Neumann condition
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 A time dependent source identification problem for parabolic equation with involution and Neumann condition is studied. The well-posedness theorem on the differential equation of the source identification parabolic problem is established.
A. Ashyralyev, A.S. Erdogan
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Approximation by interpolation spectral subspaces of operators with discrete spectrum
Математичні Студії, 2021 The paper describes approximation properties of interpolation spectral subspaces of an unbounded operator $A$ with discrete spectrum $\sigma(A)$ in a Banach space $\mathfrak X$, as well as ones corresponding subspaces ${\mathcal E}_{q,p}^{\nu}(A)$ of ...
M.I. Dmytryshyn
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Asymptotically Exact Constants in Natural Convergence Rate Estimates in the Lindeberg Theorem
Mathematics, 2021 Following (Shevtsova, 2013) we introduce detailed classification of the asymptotically exact constants in natural estimates of the rate of convergence in the Lindeberg central limit theorem, namely in Esseen’s, Rozovskii’s, and Wang–Ahmad’s inequalities ...
Ruslan Gabdullin +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2023 Exact order estimates for some characteristics of linear and nonlinear approximation of the isotropic Nikol'skii-Besov classes $\mathbf{B}^r_{p,\theta}$ of periodic multivariate functions in the spaces $B_{q,1}$, $1\leq q \leq \infty$, are obtained ...
A.S. Romanyuk +3 more
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Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper, we continue the study of approximation characteristics of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of several variables whose majorant of the mixed moduli of continuity contains both exponential and logarithmic multipliers.
O.V. Fedunyk-Yaremchuk, S.B. Hembars'ka
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A note on the parabolic identification problem with involution and Dirichlet condition
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 A space source of identification problem for parabolic equation with involution and Dirichlet condition is studied. The well-posedness theorem on the differential equation of the source identification parabolic problem is established.
A. Ashyralyev, A.S. Erdogan, A. Sarsenbi
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A note on well-posedness of source identification elliptic problem in a Banach space
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 We study the source identification problem for an elliptic differential equation in a Banach space. The exact estimates for the solution of source identification problem in H¨older norms are obtained. In applications, four elliptic source identification
A. Ashyralyev +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2022 We obtained the exact order estimates of the best orthogonal trigonometric approximations of periodic functions of one and several variables from the Nikol'skii-Besov-type classes $B^{\omega}_{1,\theta}$ ($B^{\Omega}_{1,\theta}$ in the multivariate case $
O.V. Fedunyk-Yaremchuk, S.B. Hembars'ka
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Superconvergence for optimal control problems governed by semilinear parabolic equations
AIMS Mathematics, 2022 In this paper, we first investigate optimal control problem for semilinear parabolic and introduce the standard $ L^2(\Omega) $-orthogonal projection and the elliptic projection.
Chunjuan Hou +4 more
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Rates of Convergence in Laplace’s Integrals and Sums and Conditional Central Limit Theorems
Mathematics, 2020 We obtained the exact estimates for the error terms in Laplace’s integrals and sums implying the corresponding estimates for the related laws of large number and central limit theorems including the large deviations approximation.
Vassili N. Kolokoltsov
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