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

In: Differential and Integral Inequalities

Author

Listed:
  • Branko Malešević

    (University of Belgrade)

  • Marija Rašajski

    (University of Belgrade)

  • Tatjana Lutovac

    (University of Belgrade)

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.

Suggested Citation

  • Branko Malešević & Marija Rašajski & Tatjana Lutovac, 2019. "Double–Sided Taylor’s Approximations and Their Applications in Theory of Analytic Inequalities," Springer Optimization and Its Applications, in: Dorin Andrica & Themistocles M. Rassias (ed.), Differential and Integral Inequalities, pages 569-582, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-27407-8_20
    DOI: 10.1007/978-3-030-27407-8_20
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