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

Branko Malešević (), Marija Rašajski () and Tatjana Lutovac ()
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Branko Malešević: University of Belgrade
Marija Rašajski: University of Belgrade
Tatjana Lutovac: University of Belgrade

A chapter in Differential and Integral Inequalities, 2019, pp 569-582 from Springer

Abstract: 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.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-27407-8_20

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DOI: 10.1007/978-3-030-27407-8_20

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