Improvements of some integral inequalities involving Taylor's remainder

DOI10.1007/BF02936158zbMath1054.26018MaRDI QIDQ1885075

Dah-Yan Hwang

Publication date: 28 October 2004

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

zbMATH Keywords

Grüss inequalityChebyshev inequalityTaylor remainder

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (3)

Two Points Taylor’s Type Representations with Integral Remainders ⋮ Two-point and \(n\)th derivative norm inequalities for analytic functions in Banach algebras ⋮ Approximating the Integral of Analytic Complex Functions on Paths from Convex Domains in Terms of Generalized Ostrowski and Trapezoid Type Rules

Cites Work

• Convex functions, partial orderings, and statistical applications
• Improvement and further generalization of inequalities of Ostrowski-Grüss type
• An application of Hayashi's inequality for differentiable functions
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