Approximation of infinitely differentiable functions on the real line by polynomials in weighted spaces

DOI10.1007/s10958-021-05486-0zbMath1476.41005OpenAlexW3193874222MaRDI QIDQ2047412

Il'dar Khamitovich Musin

Publication date: 20 August 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05486-0

zbMATH Keywords

entire functionconvex functionFourier-Laplace transformYoung-Fenchel transform

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Weighted approximation (41A81)

Cites Work

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• Fourier-Laplace transformation of functionals on a weighted space of infinitely smooth functions
• COMPACT FAMILIES OF LOCALLY CONVEX TOPOLOGICAL VECTOR SPACES, FRÉCHET-SCHWARTZ AND DUAL FRÉCHET-SCHWARTZ SPACES
• Analytically uniform spaces of infinitely differentiable functions

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