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Ukrainian Mathematical Journal

, Volume 67, Issue 11, pp 1721–1738 | Cite as

Generalizations of Steffensen’s Inequality by Lidstone’s Polynomials

  • J. Pečarić
  • A. Perušić
  • K. Smoljak
Article

We obtain generalizations of Steffensen’s inequality by using Lidstone’s polynomials. Furthermore, the functionals associated with the obtained generalizations are used to generate n-exponentially and exponentially convex functions, as well as the new Stolarsky-type means.

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • J. Pečarić
    • 1
  • A. Perušić
    • 2
  • K. Smoljak
    • 1
  1. 1.University of ZagrebZagrebCroatia
  2. 2.University of RijekaRijekaCroatia

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