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Some representations of triharmonic functions (Q6660287)

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scientific article; zbMATH DE number 7964681

Language	Label	Description	Also known as
English	Some representations of triharmonic functions	scientific article; zbMATH DE number 7964681

Statements

scholarly article

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Some representations of triharmonic functions (English)

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Arsen M. Shutovskyi

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Cybernetics and Systems Analysis

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publication date

10 January 2025

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zbMATH Keywords

triharmonic equation

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upper half-plane

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Fourier transform

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Fourier series

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positive operator

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MaRDI profile type

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Method of Resolving Functions in the Theory of Conflict—Controlled Processes

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A linear evasion problem for interacting groups of objects

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Approximation properties of Abel-Poisson integrals on the classes of differentiable functions, defined by means of modulus of continuity

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On some approximate properties of biharmonic Poisson integrals in the integral metric

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Finding solution subspaces of the Laplace and heat equations isometric to spaces of real functions, and some of their applications

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On the asymptotics of associated sigma-functions and Jacobi theta-functions

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Approximation of classes of periodic multivariable functions by linear positive operators

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Differential Games with Impulse Control

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On linear differential games with integral constraints

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On a differential game in a system with distributed parameters

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On some asymptotic properties of solutions to biharmonic equations

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Approximation of conjugate differentiable functions by their Abel–Poisson integrals

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Asymptotic properties of the solutions of higher-order differential equations on generalized Hölder classes

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Approximation of conjugate differentiable functions by biharmonic Poisson integrals

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Representation of Weierstrass integral via Poisson integrals

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Approximation of classes \({C}_{\beta, \infty}^{\psi }\) by three-harmonic Poisson integrals in uniform metric (low smoothness)

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Some asymptotic properties of the solutions of Laplace equations in a unit disk

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Some applied aspects of the Dirac delta function

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Approximation of the classes \({W}_{\beta, \infty}^R\) by generalized Abel-Poisson integrals

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On approximation of functions from the class $L^{\psi}_{\beta, 1}$ by the Abel-Poisson integrals in the integral metric

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Exact values of the approximations of differentiable functions by Poisson-type integrals

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Approximating properties of biharmonic Poisson integrals in the classes \(W_\beta^r H^\alpha\)

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Approximation of functions from the classes \(C_{\beta, \infty}^{\psi}\) by biharmonic Poisson integrals

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Taylor series of biharmonic Poisson integral for upper half-plane

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Approximation of continuous functions given on the real axis by three-harmonic Poisson operators

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Fourier transform of the summatory Abel-Poisson function

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The use of the isometry of function spaces with different numbers of variables in the theory of approximation of functions

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On approximation of functions from Hölder classes by biharmonic Poisson integrals defined in the upper half-plane

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Approximation of \((\psi, \beta)\)-differentiable functions of low smoothness by biharmonic Poisson integrals

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Isometry of the subspaces of solutions of systems of differential equations to the spaces of real functions

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Some asymptotic properties of solutions to triharmonic equations

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On the asymptotics of some Weierstrass functions

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Oscillatory conflict-control processes

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Inverse Minkowski functionals in a nonstationary problem of group pursuit

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Game problems of approach for quasilinear systems of general form

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S10559-024-00735-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:6660287

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