Hilbert-Pachpatte-type inequalities for semigroups, cosine and sine operator functions

DOI10.1016/j.aml.2011.06.021zbMath1269.26009OpenAlexW2083427289MaRDI QIDQ654274

George A. Anastassiou

Publication date: 28 December 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.06.021

zbMATH Keywords

semigroupcosine operator functionsine operator functionHilbert-Pachpatte inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities for trigonometric functions and polynomials (26D05)

Cites Work

• Approximation theorems for semi-groups of bounded linear transformations
• Ordinary differential equations in linear topological spaces. I
• Approximation theorems for cosine operator functions
• On Maximal Regularity and Semivariation of Cosine Operator Functions
• A note on sharp 1-dimensional Poincaré inequalities
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