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.
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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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Malešević, B., Rašajski, M., Lutovac, T. (2019). Double–Sided Taylor’s Approximations and Their Applications in Theory of Analytic Inequalities. In: Andrica, D., Rassias, T. (eds) Differential and Integral Inequalities. Springer Optimization and Its Applications, vol 151. Springer, Cham. https://doi.org/10.1007/978-3-030-27407-8_20
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