Double-sided Taylor’s approximations and their applications in theory of analytic inequalities. (English) Zbl 1441.41009
Andrica, Dorin (ed.) et al., Differential and integral inequalities. Cham: Springer. Springer Optim. Appl. 151, 569-582 (2019).
Summary: In this paper the double-sided Taylor’s approximations are studied. A short proof of a well-known theorem on the double-sided Taylor’s approximations is introduced. Also, two new theorems are proved regarding the monotonicity of such approximations. Then we present some new applications of the double-sided Taylor’s approximations in the theory of analytic inequalities.
For the entire collection see [Zbl 1431.26003].
For the entire collection see [Zbl 1431.26003].
MSC:
| 41A58 | Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) |
| 26D20 | Other analytical inequalities |
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