New estimation of the remainder in Taylor's formula using Grüss' type inequalities and applications

DOI10.7153/mia-02-16zbMath0933.26012OpenAlexW2000192173MaRDI QIDQ4248973

Sever Silvestru Dragomir

Publication date: 23 September 1999

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e80cbb13d33dd3e1672d995c657471a5d5f33612

zbMATH Keywords

Taylor expansionGrüss inequalityexponential and logarithmic functionsestimates for the remainder term

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Other analytical inequalities (26D20)

Related Items (8)

Post-quantum Hermite-Jensen-Mercer inequalities ⋮ 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 ⋮ Unnamed Item ⋮ A survey on some inequalities for expectation and variance ⋮ On some estimates of the remainder in Taylor's formula ⋮ Unnamed Item

This page was built for publication: New estimation of the remainder in Taylor's formula using Grüss' type inequalities and applications