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Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial Cover

Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial

Open Access
|Sep 2019

References

  1. [1] R.P. Agarwal, P.J.Y. Wong, Error Inequalities in Polynomial Interpolation and Their Applications, Mathematics and its Applications 262, Kluwer Academic Publishers, Dordrecht, 1993.10.1007/978-94-011-2026-5_5
  2. [2] P. Cerone, S.S. Dragomir, Some new bounds for the Čebyšev functional in terms of the first derivative and applications, J. Math. Inequal. 8(1) (2014), 159–170.10.7153/jmi-08-10
  3. [3] P.J. Davis, Interpolation and Approximation, Blaisdell Publishing Co. Ginn and Co., New York-Toronto-London, 1963.
  4. [4] V.L. Gontscharoff, Theory of interpolation and approximation of functions, Gostekhizdat, Moscow, 1954.
  5. [5] J. Jakšetić, J. Pečarić, Steffensen’s inequality for positive measures, Math. Inequal. Appl. 18(3) (2015), 1159–1170.10.7153/mia-18-90
  6. [6] D.S. Mitrinović, The Steffensen inequality, Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. 247-273 (1969), 1–14.
  7. [7] J. Pečarić, A. Perušić, K. Smoljak, Generalizations of Steffensen’s inequality by Abel-Gontscharoff polynomial, Khayyam Journal of Mathematics, 1(1) (2015), 45–61.10.1186/s13660-015-0702-8
  8. [8] J.E. Pečarić, F. Proschan, Y.L. Tong, Convex functions, partial orderings, and statistical applications, Mathematics in science and engineering 187, Academic Press, 1992.
  9. [9] J. Pečarić, K. Smoljak Kalamir, S. Varošanec, Steffensen’s and related inequalities (A comprehensive survey and recent advances), Monograhps in inequalities 7, Element, Zagreb, 2014.10.1155/2014/428030
  10. [10] J.F. Steffensen, On certain inequalities between mean values and their application to actuarial problems, Skand. Aktuarietids. (1918), 82–97.10.1080/03461238.1918.10405302
  11. [11] J.M. Whittaker, Interpolatory Function Theory, Cambridge University Press, London, 1935.
DOI: https://doi.org/10.2478/auom-2019-0023 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 121 - 137
Published on: Sep 26, 2019
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2019 Josip Pečarić, Anamarija Perušić Pribanić, Ksenija Smoljak Kalamir, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.