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Differential and Integral Inequalities pp 289–309Cite as

Two Points Taylor’s Type Representations with Integral Remainders

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Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 151))

Abstract

In this chapter we establish some two points Taylor’s type representations with integral remainders and apply them for the logarithmic and exponential functions. Some inequalities for weighted arithmetic and geometric means are provided as well.

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Author information

Authors and Affiliations

  1. Mathematics College of Engineering and Science, Victoria University, Melbourne City, VIC, Australia

    Silvestru Sever Dragomir

  2. DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa

    Silvestru Sever Dragomir

Authors
  1. Silvestru Sever Dragomir
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Correspondence to Silvestru Sever Dragomir .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Babeş-Bolyai University, Cluj-Napoca, Romania

    Dorin Andrica

  2. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Dragomir, S.S. (2019). Two Points Taylor’s Type Representations with Integral Remainders. 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_7

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