Harmonic multivariate Ostrowski and Grüss type inequalities for several functions

DOI10.1515/DEMA-2015-0004zbMath1312.26025OpenAlexW2284731153MaRDI QIDQ2340242

George A. Anastassiou

Publication date: 16 April 2015

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2015-0004

zbMATH Keywords

harmonic polynomialsmultivariate Grüss inequalitymultivariate Ostrowski inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Representation and superposition of functions (26B40) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)

Cites Work

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• Bounds on the deviation of a function from its averages
• On Generalizations of Ostrowski Inequality and Some Related Results
• On some generalizations of Ostrowski inequality for Lipschitz functions and functions of bounded variation
• 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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