Approximation of (ψ, β)-differentiable functions by Weierstrass integrals

DOI10.1007/s11253-007-0069-1zbMath1150.41351OpenAlexW2025580708MaRDI QIDQ3505440

Yu. I. Kharkevych, Inna V. Kal'chuk

Publication date: 18 June 2008

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-007-0069-1

zbMATH Keywords

approximationasymptoticWeierstrass integral\((\psi,\beta)\)-differentiable function

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (7)

Approximative properties of the Weierstrass integrals on the classes \( {W}_{\beta}^r{H}^{\alpha } \) ⋮ Finding solution subspaces of the Laplace and heat equations isometric to spaces of real functions, and some of their applications ⋮ Approximation of the classes \({W}_{\beta}^r{H}^{\alpha }\) by three-harmonic Poisson integrals ⋮ Approximation of the classes \(C_{\beta}^{\psi } H^\alpha\) by biharmonic Poisson integrals ⋮ Approximation of functions from the classes \(W_\beta^r H^\alpha\) by Weierstrass integrals ⋮ Approximation of the classes $W^{r}_{\beta,\infty}$ by three-harmonic Poisson integrals ⋮ Isometry of the subspaces of solutions of systems of differential equations to the spaces of real functions

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