Zobrazeno 1 - 10
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pro vyhledávání: '"Zipf–Mandelbrot entropy"'
Akademický článek
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Publikováno v:
Journal of Inequalities and Applications, Vol 2019, Iss 1, Pp 1-14 (2019)
Abstract In this paper, we present some interesting results related to the bounds of the Shannon and the Zipf–Mandelbrot entropies. Further, we define linear functionals and present their properties. We also construct new family of exponentially co
Externí odkaz:
https://doaj.org/article/3f94ad7ffeee479393c598bbb1c54676
Publikováno v:
Results in Physics, Vol 18, Iss , Pp 103305- (2020)
Shannon and Zipf-Mandelbrot entropies have several applications in various fields such as ecology, statistics, physics and information theory etc. The aim of this article is to utilize some results of Jensen’s inequality for convex functions and to
Externí odkaz:
https://doaj.org/article/c255f74ede604235bd84b42ac0082011
Publikováno v:
Mathematics, Vol 10, Iss 8, p 1274 (2022)
In 2021, Ullah et al., introduced a new approach for the derivation of results for Jensen’s inequality. The purpose of this article, is to use the same technique and to derive improvements of Slater’s inequality. The planned improvements are demo
Externí odkaz:
https://doaj.org/article/aa5880e32ccc4b3fbb045f5f280864d5
Publikováno v:
Demonstratio Mathematica, Vol 51, Iss 1, Pp 112-130 (2018)
To procure inequalities for divergences between probability distributions, Jensen’s inequality is the key to success. Shannon, Relative and Zipf-Mandelbrot entropies have many applications in many applied sciences, such as, in information theory, b
Externí odkaz:
https://doaj.org/article/6bede4e0de6b4a9982ba8618057cbd8a
Publikováno v:
Mathematics; Volume 11; Issue 8; Pages: 1957
The main purpose of this manuscript is to present some new estimations of the Jensen gap in a discrete sense along with their applications. The proposed estimations for the Jensen gap are provided with the help of the notion of 6-convex functions. So
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e81c80cdf699ebe06a1124ef142965bd
Akademický článek
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Publikováno v:
Bulletin of the Malaysian Mathematical Sciences Society. 44:267-278
The Jensen inequality is one of the most important inequalities in theory of inequalities, and numerous results are devoted to this inequality. This inequality has many applications in several fields. This article is devoted to present a new interest
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6784fc1876b0c2186394bd4e86c1084a
https://doi.org/10.1007/s40840-020-00944-5
https://doi.org/10.1007/s40840-020-00944-5
Publikováno v:
Entropy, Vol 20, Iss 8, p 608 (2018)
The main purpose of this paper is to find new estimations for the Shannon and Zipf–Mandelbrot entropies. We apply some refinements of the Jensen inequality to obtain different bounds for these entropies. Initially, we use a precise convex function
Externí odkaz:
https://doaj.org/article/d6701efb386a471b80e97cab54175321
Publikováno v:
Journal of Mathematical Inequalities. :249-271
Jensen’s inequality plays pivotal role in attaining divergence between probability dis- tributions. Shannon, Relative and Zipf-Mandelbrot entropies have ample applications in many applied sciences, especially in information theory, biology, economi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ba4f43c8f9d473b46c9be86906020be
https://doi.org/10.7153/jmi-2020-14-17
https://doi.org/10.7153/jmi-2020-14-17