Saturation of multiplier operators in Banach spaces

DOI10.2748/tmj/1178229306zbMath0491.41025OpenAlexW2025961656MaRDI QIDQ1167357

Toshihiko Nishishiraho

Publication date: 1982

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

Full work available at URL: https://doi.org/10.2748/tmj/1178229306

zbMATH Keywords

convolution operatorlinear approximation processmultiplier operatorssaturation classB-summabilityregularization processVoronovskaja condition

Mathematics Subject Classification ID

Approximation by positive operators (41A36) Saturation in approximation theory (41A40)

Related Items (3)

The degree of the best approximation in Banach spaces ⋮ Approximation processes with respect to positive multiplication operators ⋮ Convergence of positive linear approximation processes

Cites Work

• Quantitative theorems on linear approximation processes of convolution operators in Banach spaces
• Saturation of positive linear operators
• Quantitative results on almost convergence of a sequence of positive linear operators
• Saturation of bounded linear operators
• The approximation of continuous functions by positive linear operators
• Approximation operators on Banach spaces of distributions
• Interpolationsmethoden zur Behandlung von Approximationsprozessen auf Banachräumen
• Topics in approximation theory
• On summation processes of Fourier expansions in Banach spaces. I: Comparison theorems
• A contribution to the theory of divergent sequences
• On strong almost convergence
• Positive linear operators and summability
• Order Summability and Almost Convergence
• The Mean Convergence of Orthogonal Series
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