Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial
Abstract Levinson type inequalities are generalized by using Hermite interpolating polynomial for the class of n $\mathfrak{n}$ -convex functions. In seek of application to information theory, some estimates for new functional are obtained based on f divergence. Inequalities involving Shannon entrop...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-05-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-020-02403-y |
| _version_ | 1818912588585500672 |
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| author | Muhammad Adeel Khuram Ali Khan Ðilda Pečarić Josip Pečarić |
| author_facet | Muhammad Adeel Khuram Ali Khan Ðilda Pečarić Josip Pečarić |
| author_sort | Muhammad Adeel |
| collection | DOAJ |
| description | Abstract Levinson type inequalities are generalized by using Hermite interpolating polynomial for the class of n $\mathfrak{n}$ -convex functions. In seek of application to information theory, some estimates for new functional are obtained based on f divergence. Inequalities involving Shannon entropies are also discussed. |
| first_indexed | 2024-12-19T23:16:59Z |
| format | Article |
| id | doaj.art-4df7a17c2f7846b5ae9b3252bba82f28 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-19T23:16:59Z |
| publishDate | 2020-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-4df7a17c2f7846b5ae9b3252bba82f282022-12-21T20:02:04ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-05-012020111610.1186/s13660-020-02403-yEstimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomialMuhammad Adeel0Khuram Ali Khan1Ðilda Pečarić2Josip Pečarić3Department of Mathematics, University of SargodhaDepartment of Mathematics, University of SargodhaCatholic University of Croatia, IlicaRudn UniversityAbstract Levinson type inequalities are generalized by using Hermite interpolating polynomial for the class of n $\mathfrak{n}$ -convex functions. In seek of application to information theory, some estimates for new functional are obtained based on f divergence. Inequalities involving Shannon entropies are also discussed.http://link.springer.com/article/10.1186/s13660-020-02403-yInformation theoryLevinson’s InequalityConvex functions |
| spellingShingle | Muhammad Adeel Khuram Ali Khan Ðilda Pečarić Josip Pečarić Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial Journal of Inequalities and Applications Information theory Levinson’s Inequality Convex functions |
| title | Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial |
| title_full | Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial |
| title_fullStr | Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial |
| title_full_unstemmed | Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial |
| title_short | Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial |
| title_sort | estimation of f divergence and shannon entropy by using levinson type inequalities for higher order convex functions via hermite interpolating polynomial |
| topic | Information theory Levinson’s Inequality Convex functions |
| url | http://link.springer.com/article/10.1186/s13660-020-02403-y |
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