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

  • Branko MaleševićEmail author
  • Marija Rašajski
  • Tatjana Lutovac
Chapter
First Online:
Part of the Springer Optimization and Its Applications book series (SOIA, volume 151)

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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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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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Branko Malešević
    • 1
    Email author
  • Marija Rašajski
    • 1
  • Tatjana Lutovac
    • 1
  1. 1.School of Electrical EngineeringUniversity of BelgradeBelgradeSerbia

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