On Some Estimates of the Remainder in Taylor's Formula
Copyright policy ) Anastassiou, G.A.; Dragomir, S.S.;
On Some Estimates of the Remainder in Taylor's Formula
The authors obtain various estimates for the remainder term in Taylor's formula. Cases when \(f^{(n-1)}\) is absolutely continuous, \(f^{(n)}\) is of \(r\)-Hölder type, \(L\)-Lipschitzian, monotonic, or convex, or are in \(L_2\), are separately studied. A final section deals with multivariate case estimates.
- University of Memphis United States
- Victoria University Australia
estimates, Applied Mathematics, remainder term, Inequalities for sums, series and integrals, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), Taylor's formula, Analysis
estimates, Applied Mathematics, remainder term, Inequalities for sums, series and integrals, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), Taylor's formula, Analysis
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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