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Best Approximation by Subharmonic Functions

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Publication:3991916
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DOI10.2307/2159604zbMath0755.41022OpenAlexW4230633027MaRDI QIDQ3991916

D. Zwick, J. Michael Wilson

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159604

zbMATH Keywords

best continuous subharmonic approximations


Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Multidimensional problems (41A63) Approximation by other special function classes (41A30)


Related Items

Polynomials and lemniscates of indefiniteness, Subsolutions that are close in the uniform norm are close in the Sobolev norm as well, Reverse Poincaré-type inequalities for the difference of superharmonic functions



Cites Work

  • Uniform approximation by quasi-convex and convex functions
  • Existence of best approximations
  • Minimum norm extremals in function spaces. With applications to classical and modern analysis
  • Best Approximation by Convex Functions
  • Elliptic Partial Differential Equations of Second Order
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