Results 1 to 10 of about 323,983 (267)
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Exact Minimax Estimation for Phase Synchronization [PDF]
IEEE Transactions on Information Theory, 2021 We study the phase synchronization problem with measurements $Y=z^*z^{*H}+σW\in\mathbb{C}^{n\times n}$, where $z^*$ is an $n$-dimensional complex unit-modulus vector and $W$ is a complex-valued Gaussian random matrix. It is assumed that each entry $Y_{jk}$ is observed with probability $p$. We prove that the minimax lower bound of estimating $z^*$ under
Chao Gao 0005, Anderson Y. Zhang
openaire +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Exact Smooth Term-Structure Estimation [PDF]
SIAM Journal on Financial Mathematics, 2016 We present a non-parametric method to estimate the discount curve from market quotes based on the Moore-Penrose pseudoinverse. The discount curve reproduces the market quotes perfectly, has maximal smoothness, and is given in closed-form. The method is easy to implement and requires only basic linear algebra operations.
Damir Filipovic, Sander Willems
openaire +3 more sources