Differential and Integral Inequalities pp 569-582 | Cite as

# Double–Sided Taylor’s Approximations and Their Applications in Theory of Analytic Inequalities

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## Abstract

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.

## Notes

### Acknowledgements

Research of the first and second and third author was supported in part by the Serbian Ministry of Education, Science and Technological Development, under Projects ON 174032 & III 44006, ON 174033, and TR 32023, respectively.

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