Multivariate inequalities based on Sobolev representations

DOI10.1080/00036811.2011.559466zbMath1248.26021OpenAlexW2007488177WikidataQ58302855 ScholiaQ58302855MaRDI QIDQ2903164

George A. Anastassiou

Publication date: 23 August 2012

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

Full work available at URL: https://doi.org/10.1080/00036811.2011.559466

zbMATH Keywords

Ostrowski inequalityChebyshev-Grüs inequalitycomparison of means inequalitySobolev representationweak partial derivative

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Über die Absolutabweichung einer differenzierbaren Funktion von ihrem Integralmittelwert
• The Mathematical Theory of Finite Element Methods
• Über das Maximum des absoluten Betrages von \[ \frac 1{b-a}\int _a^bf(x)g(x)\,dx-\frac 1{(b-a)^2}\int _a^bf(x)\,dx\int _a^bg(x)\,dx. \ .]

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