ADDITIVE REVERSES OF THE CONTINUOUS TRIANGLE INEQUALITY FOR BOCHNER INTEGRAL OF VECTOR-VALUED FUNCTIONS IN HILBERT SPACES

DOI10.1524/ANLY.2004.24.14.287zbMATH Open1085.46017arXivmath/0406158OpenAlexW3023746352MaRDI QIDQ3024657

Sever S. Dragomir

Publication date: 1 July 2005

Published in: Analysis (Search for Journal in Brave)

Abstract: Some additive reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Hilbert spaces are given. Applications for complex-valued functions are provided as well.

Full work available at URL: https://arxiv.org/abs/math/0406158

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (3)

Reverses of the continuous triangle inequality for Bochner integral in complex Hilbert spaces ⋮ Title not available (Why is that?) ⋮ A REFINEMENT OF GRÜSS TYPE INEQUALITY FOR THE BOCHNER INTEGRAL OF VECTOR-VALUED FUNCTIONS IN HILBERT SPACES AND APPLICATIONS

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