Approximation of semigroups and cosine functions in spaces of periodic functions

DOI10.1080/00036810601113848zbMath1129.47030OpenAlexW2049896144WikidataQ58280216 ScholiaQ58280216MaRDI QIDQ3446989

Michele Campiti, Silvia Patrizia Ruggeri

Publication date: 27 June 2007

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810601113848

zbMATH Keywords

approximation by trigonometric polynomialsspaces of periodic functionsrepresentation of semigroups and cosine functions

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Approximation by operators (in particular, by integral operators) (41A35) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (2)

Direct sums of Voronovskaja's type formulas ⋮ Second-Order Differential Operators with Non-Local Ventcel's Boundary Conditions

Cites Work

• Approximation of semi-groups of operators
• Lototsky-Schnabl operators on compact convex sets and their associated limit semigroups
• Korovkin-type approximation theory and its applications
• Approximation properties of recursively defined Bernstein-type operators
• Evolution equations associated with recursively defined Bernstein-type operators
• Uniformly convergent Lagrange-type approximation
• Iteration of positive approximation operators
• A generalization of Stancu-Mühlbach operators
• Approximation of solutions of some degenerate parabolic problems¹

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