Estimation of divergences on time scales via the Green function and Fink’s identity
Abstract The aim of the present paper is to obtain new generalizations of an inequality for n-convex functions involving Csiszár divergence on time scales using the Green function along with Fink’s identity. Some new results in h-discrete calculus and quantum calculus are also presented. Moreover, i...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-08-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03550-2 |
| _version_ | 1818601148870819840 |
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| author | Iqrar Ansari Khuram Ali Khan Ammara Nosheen Ðilda Pečarić Josip Pečarić |
| author_facet | Iqrar Ansari Khuram Ali Khan Ammara Nosheen Ðilda Pečarić Josip Pečarić |
| author_sort | Iqrar Ansari |
| collection | DOAJ |
| description | Abstract The aim of the present paper is to obtain new generalizations of an inequality for n-convex functions involving Csiszár divergence on time scales using the Green function along with Fink’s identity. Some new results in h-discrete calculus and quantum calculus are also presented. Moreover, inequalities for some divergence measures are also deduced. |
| first_indexed | 2024-12-16T12:46:47Z |
| format | Article |
| id | doaj.art-96ae11f648684faa876c9c638b54a24e |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-16T12:46:47Z |
| publishDate | 2021-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-96ae11f648684faa876c9c638b54a24e2022-12-21T22:31:16ZengSpringerOpenAdvances in Difference Equations1687-18472021-08-012021111710.1186/s13662-021-03550-2Estimation of divergences on time scales via the Green function and Fink’s identityIqrar Ansari0Khuram Ali Khan1Ammara Nosheen2Ðilda Pečarić3Josip Pečarić4Department of Mathematics, University of SargodhaDepartment of Mathematics, University of SargodhaDepartment of Mathematics and Statistics, The University of Lahore (Sargodha Campus)Department of Media and Communication, University NorthRUDN UniversityAbstract The aim of the present paper is to obtain new generalizations of an inequality for n-convex functions involving Csiszár divergence on time scales using the Green function along with Fink’s identity. Some new results in h-discrete calculus and quantum calculus are also presented. Moreover, inequalities for some divergence measures are also deduced.https://doi.org/10.1186/s13662-021-03550-2Csiszár divergenceTime scale calculusFink’s identityGreen function |
| spellingShingle | Iqrar Ansari Khuram Ali Khan Ammara Nosheen Ðilda Pečarić Josip Pečarić Estimation of divergences on time scales via the Green function and Fink’s identity Advances in Difference Equations Csiszár divergence Time scale calculus Fink’s identity Green function |
| title | Estimation of divergences on time scales via the Green function and Fink’s identity |
| title_full | Estimation of divergences on time scales via the Green function and Fink’s identity |
| title_fullStr | Estimation of divergences on time scales via the Green function and Fink’s identity |
| title_full_unstemmed | Estimation of divergences on time scales via the Green function and Fink’s identity |
| title_short | Estimation of divergences on time scales via the Green function and Fink’s identity |
| title_sort | estimation of divergences on time scales via the green function and fink s identity |
| topic | Csiszár divergence Time scale calculus Fink’s identity Green function |
| url | https://doi.org/10.1186/s13662-021-03550-2 |
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