Approximation operators on Banach spaces of distributions

DOI10.2748/tmj/1178241183zbMath0285.41018OpenAlexW2012007616MaRDI QIDQ1845324

Yanyan Li

Publication date: 1974

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178241183

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) General harmonic expansions, frames (42C15)

Related Items (1)

Saturation of multiplier operators in Banach spaces

Cites Work

• Sur la saturation des procédés de sommation
• Multipliers for (C,a)-bounded Fourier expansions in Banach spaces and approximation theory
• Orthonormal series expansions of certain distributions and distributional transform calculus
• Interpolationsmethoden zur Behandlung von Approximationsprozessen auf Banachräumen
• On fundamental theorems of approximation theory and their dual versions
• Jackson and Bernstein-type inequalities for families of commutative operators in Banach spaces
• On summation processes of Fourier expansions in Banach spaces. I: Comparison theorems
• On determination of the class of saturation in the theory of approximation of functions
• Mean Summability for Ultraspherical Polynomials.
• A Convolution Structure for Jacobi Series
• On Mean Convergence of Fourier‐Bessel Series of Negative Order
• Mean Cesaro Summability of Laguerre and Hermite Series
• The Mean Convergence of Orthogonal Series. II
• Classes de saturation de certains procédés d'approximation des séries de Fourier des fonctions continues et applications à quelques problèmes d'approximation
• Classes de saturation des procédés de sommation des séries de Fourier et applications aux séries trigonométriques
• The Mean Convergence of Orthogonal Series
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