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Multiple sampling and interpolation in the classical Fock space
, 2015 We study multiple sampling, interpolation and uniqueness for the classical Fock space in the case of unbounded mul ...
Alexander Borichev +3 more
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The Average Errors for the Grünwald Interpolation in the Wiener Space [PDF]
Discrete Dynamics in Nature and Society, 2009 We determine the weakly asymptotically orders for the average errors of the Grünwald interpolation sequences based on the Tchebycheff nodes in the Wiener space.
Yingfang Du, Huajie Zhao
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Interpolation in model spaces [PDF]
Proceedings of the American Mathematical Society, Series B, 2020 In this paper we consider interpolation in model spaces, H 2 ⊖ B H 2 H^2 \ominus B H^2 with B B a Blaschke product. We study unions of interpolating sequences for two sequences that are far from each other in the pseudohyperbolic metric as ...
Gorkin, Pamela, Wick, Brett D
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The positivity of the differential operator generated by hyperbolic system of equations [PDF]
E-Journal of Analysis and Applied Mathematics, 2023 In the present paper, the initial value problem for the hyperbolic system of equations with nonlocal boundary conditions is investigated. The positivity of the space operator generated by the given problem in interpolation spaces is established.
Rahat Prenov
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Fractal and Fractional, 2023 In this paper, we studied the Hölder regularities of solutions to an abstract fractional differential equation, which is regarded as an abstract version of fractional Rayleigh–Stokes problems, rising up to describing a non-Newtonian fluid with a Riemann ...
Jiawei He, Guangmeng Wu
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A generalized spatial autoregressive neural network method for three-dimensional spatial interpolation [PDF]
Geoscientific Model Development, 2023 Spatial interpolation, a fundamental spatial analysis method, predicts unsampled spatial data from the values of sampled points. Generally, the core of spatial interpolation is fitting spatial weights via spatial correlation.
J. Zhan +11 more
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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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Error-constant estimation under the maximum norm for linear Lagrange interpolation
Journal of Inequalities and Applications, 2022 For the linear Lagrange interpolation over a triangular domain, we propose an efficient algorithm to rigorously evaluate the interpolation error constant under the maximum norm by using the finite-element method (FEM). In solving the optimization problem
Shirley Mae Galindo +2 more
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Tent Space Approach of Morrey Spaces and Their Application to Duality and Complex Interpolation
Journal of Function Spaces, 2023 The aim in this paper is to establish a new duality property of Morrey spaces and to discover the complex interpolation space between Morrey spaces and Lebesgue spaces.
Takahiro Ono
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Interpolation theorem for Nikol’skii-Besov type spaceswith mixed metric
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In this paper we study the interpolation properties of Nikol’skii-Besov spaces with a dominant mixed derivative and mixed metric with respect to anisotropic and complex interpolation methods.
K.A. Bekmaganbetov +2 more
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