Reverse Schwarz inequalities and some consequences in inner product spaces

DOI10.1016/j.jmaa.2017.10.038zbMath1376.26021OpenAlexW2765523021MaRDI QIDQ1682118

Zdzisław Otachel

Publication date: 28 November 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.10.038

zbMATH Keywords

triangle inequalitySchwarz inequalityGrüss inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (2)

Unnamed Item ⋮ On reverse Schwarz, Bessel, Grüss and Hadamard inequalities in inner product spaces

Cites Work

• Cauchy-Schwarz inequality in semi-inner product \(C^{\ast}\)-modules via polar decomposition
• Schwarz and Grüss type inequalities for \(C^{*}\)-seminorms and positive linear functionals on Banach \(*\)-modules
• On some integral inequalities related to the Cauchy-Bunyakovsky-Schwarz inequality
• On the Cauchy-Schwarz inequality and its reverse in semi-inner product \(C^*\)-modules
• An additive reverse of the Cauchy-Bunyakovsky-Schwarz integral inequality
• Reverse Cauchy--Schwarz inequalities for positive C^✻-valued sesquilinear forms
• Reverses of Schwarz inequality in inner product spaces with applications
• Unified treatment of complemented Schwarz and Grüss inequalities in inner product spaces
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