Have a personal or library account? Click to login
Entropies related to integral operators Cover

Entropies related to integral operators

Open Access
|Mar 2020

References

  1. [1] U. Abel, W. Gawronski, T. Neuschel, Complete monotonicity and zeros of sums of squared Baskakov functions, Appl. Math. Comput. 258 (2015) 130-137.
  2. [2] H. Alzer, Remarks on a convexity theorem of Rasa, Results Math.(2020)75:29.10.1007/s00025-020-1156-y
  3. [3] A. Barar, G. Mocanu, I. Rasa, Bounds for some entropies and special functions, Carpathian J. Math. 34 (2018), No. 1, 9-15.
  4. [4] A. Barar, G. Mocanu, I. Rasa, Heun functions related to entropies, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas. April 2019, Volume 113, Issue 2, pp 819-830.10.1007/s13398-018-0516-x
  5. [5] Z. Ditzian, V. Totik, Moduli of Smoothness, Springer, New York, 1987.10.1007/978-1-4612-4778-4
  6. [6] C. Elsner, M. Prévost, Expansion of Euler’s constant in terms of Zeta numbers, J. Math. Anal. Appl. 398 (2013), 508-526.10.1016/j.jmaa.2012.08.065
  7. [7] A. Măduţa, D. Otrocol, and I. Raşa, Inequalities for indices of coincidence and entropies, arXiv:1910.13491v1 [math.CA].
  8. [8] T. K. Moon, W.C. Stirling, Mathematical Methods and Algorithms for Signal Processing, Prentice Hall 1999.
  9. [9] G. Nikolov, Inequalities for ultraspherical polynomials. Proof of a conjectureof I. Raşa, J. Math. Anal. Appl. 418 (2014), 852-860.10.1016/j.jmaa.2014.04.022
  10. [10] J. C. Principe, Information Theoretic Learning, Rényi’s Entropy and Kernel Perspectives, Springer 2010.10.1007/978-1-4419-1570-2
  11. [11] I. Rasa, Complete monotonicity of some entropies, Periodica Math. Hungar. (2017), Volume 75, Issue 2, pp 159-166.10.1007/s10998-016-0177-5
  12. [12] I. Rasa, Convexity properties of some entropies, Results Math. (2018) 73:105.10.1007/s00025-018-0868-8
  13. [13] I. Rasa, Convexity properties of some entropies (II), Results Math. (2019), 74:154.10.1007/s00025-019-1081-0
  14. [14] I. Rasa, Entropies and Heun functions associated with positive linear operators, Appl. Math. Comput. 268(2015), 422-431.
  15. [15] I. Rasa, Rényi entropy and Tsallis entropy associated with positive linear operators. arXiv:1412.4971v1[math.CA].
  16. [16] I. Rasa, Special functions associated with positive linear operators. arXiv:1409.1015v2[math.CA].
DOI: https://doi.org/10.2478/gm-2019-0018 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023
Language: English
Page range: 97 - 107
Submitted on: Nov 4, 2019
Accepted on: Nov 28, 2019
Published on: Mar 20, 2020
Published by: Lucian Blaga University of Sibiu
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2020 Mădălina Dancs, Alexandra-Ioana Măduţa, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.