Ostrowski and Landau inequalities for Banach space valued functions

DOI10.1016/j.mcm.2011.08.003zbMath1255.26008OpenAlexW2041658346MaRDI QIDQ1930945

George A. Anastassiou

Publication date: 24 January 2013

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.08.003

zbMATH Keywords

Ostrowski inequalityMontgomery identityvector valued functionsLandau inequalityunivariate integral inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Numerical integration (65D30)

Related Items (3)

Korneichuk-Stechkin Lemma, Ostrowski and Landau Inequalities, and Optimal Recovery Problems for L-Space Valued Functions ⋮ Convergent under-approximations of reachable sets and tubes: a piecewise constant approach ⋮ Landau-Kolmogorov type inequalities for curves on Riemannian manifolds

Cites Work

• Left Caputo fractional \(\|\cdot\|_\infty\)-Landau inequalities
• Ostrowski's inequality for vector-valued functions and applications.
• Univariate Ostrowski inequalities, revisited
• Differential equation s in abstract spaces
• The extension of Montgomery identity via Fink identity with applications
• Bounds on the deviation of a function from its averages
• Ostrowski Type Inequalities
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