New bound of entropy with respect to refinement of the inequality of Jensen and application in graph theory
*Hasan BarsamCorresponding authorhasanbarsam@ujiroft.ac.irDepartment of MathematicsFaculty of ScienceUniversity of JiroftJiroft, P. O. Box 78671-61167, Iran0000-0003-4487-5434View full profile → , Yamin Sayyariy.sayyari@gmail.comDepartment of MathematicsSirjan University of TechnologySirjan, Iran0000-0001-8019-3655View full profile → , Loredana Ciurdariuloredana.ciurdariu@upt.roDepartment of MathematicsPolytechnic University of TimisoaraTimisoara, Timis, 300006, Romania0000-0002-1234-7939View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 10 Jul 2024
- Published Online:
- 31 Oct 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIOS-1877
- Pages:
- 2129–2138
Abstract
Keywords
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References
[1] M. A. Khan, M. Hanif, and Z. A. Khan, “Association of Jensen’s inequality for s-convex function with Csiszar divergence,” J. Inequal. Appl., pp. 1-14, (2019).
[2] H. Barsam, and A. R Sattarzadeh, “Hermite-Hadamard inequalities for uniformly convex functions and Its Applications in Means”, Miskolc Math. Notes, vol 21, no 2, pp. 621-630, (2020).
[3] H. Barsam, and Y. Sayyari, “Jensen’s inequality and m-convex functions,” Wavelets linear algebr. (In press).
[4] H. H. Bauschke, and P. L. Combettes, “Convex analysis and monotone operator theory in Hilbert Spaces,” Springer-Verlag (2011).
[5] T. M. Cover, and J. A. Thomas, “Elements of Information Theory,” John Wiley and Sons, Inc (2006).
[6] S. S. Dragomir, “A converse result for Jensen’s discrete inequality via Grüss inequality and applications in information theory”, An. Univ. Oradea. Fasc. Mat., vol. 7, pp. 178-189, (1999-2000).
[7] S.S. Dragomir, and C.J. Goh, “Some bounds on entropy measures in Information Theory,” Appl. Math. Lett., vol. 10, no. 3, pp. 23-28, (1997).
[8] R. K. Pathria, P. Beale, “Statistical Mechanics (Third ed.),” Academic Press (2011).
[9] M. A. Popescu, E. Slusanschi, V. Iancu and F. Pop, “A new bound in information theory,” Networking in Education and Research Joint Event RENAM 8th Conference, 11-13 Sept. (2014), DOI: 10.1109/RoEduNet-RENAM.2014.6955301.
[10] Y. Sayyari, “An improvement of the upper bound on the entropy of information sources,” Journal of Mathematical Extension, vol. 15, no. 5, pp. 1–12, (2021).
[11] Y. Sayyari, “New refinements of Shannon’s entropy upper bounds”, Journal of Information and Optimization Sciences, vol. 42, no. 8, pp. 1869-1883, (2021). https://doi.org/10.1080/02522667.2021.1966947.
[12] Y. Sayyari, “New entropy bounds via uniformly convex functions,” Chaos, Solitons and Fractals, vol. 141, no. 1, pp. 110360, (2020).
[13] Y. Sayyari, and H. Barsam, “Hermite-Hadamard type inequality for m-convex functions by using a new inequality for differentiable functions”, J. Mahani Math. Res. Cent., vol. 9, no. 2, pp. 55-67, (2020).
[14] S. Simic, “Jensen’s inequality and new entropy bounds,” Appl. Math. Lett., vol. 22, no. 8, pp. 1262-1265, (2009).
