On convexity-like inequalities (II)
We improve the classical Jensen inequality for convex functions by extending it to a wider class of functions. We also consider some weaker conditions for the weights occurring in this inequality.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Publishing House of the Romanian Academy
2003-02-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/737 |
| _version_ | 1811217910721413120 |
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| author | Josip Pečarić Sanja Varošanec |
| author_facet | Josip Pečarić Sanja Varošanec |
| author_sort | Josip Pečarić |
| collection | DOAJ |
| description | We improve the classical Jensen inequality for convex functions by extending it to a wider class of functions. We also consider some weaker conditions for the weights occurring in this inequality. |
| first_indexed | 2024-04-12T07:01:47Z |
| format | Article |
| id | doaj.art-5bfcbf75b04e4fbcad078740f4cc57da |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-12T07:01:47Z |
| publishDate | 2003-02-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-5bfcbf75b04e4fbcad078740f4cc57da2022-12-22T03:42:59ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2003-02-01321On convexity-like inequalities (II)Josip Pečarić0Sanja Varošanec1University of Zagreb, CroatiaUniversity of Zagreb, CroatiaWe improve the classical Jensen inequality for convex functions by extending it to a wider class of functions. We also consider some weaker conditions for the weights occurring in this inequality.https://www.ictp.acad.ro/jnaat/journal/article/view/737Jensen's inequalityconvexity-like inequalitiesgeneralized Steffensen's inequality |
| spellingShingle | Josip Pečarić Sanja Varošanec On convexity-like inequalities (II) Journal of Numerical Analysis and Approximation Theory Jensen's inequality convexity-like inequalities generalized Steffensen's inequality |
| title | On convexity-like inequalities (II) |
| title_full | On convexity-like inequalities (II) |
| title_fullStr | On convexity-like inequalities (II) |
| title_full_unstemmed | On convexity-like inequalities (II) |
| title_short | On convexity-like inequalities (II) |
| title_sort | on convexity like inequalities ii |
| topic | Jensen's inequality convexity-like inequalities generalized Steffensen's inequality |
| url | https://www.ictp.acad.ro/jnaat/journal/article/view/737 |
| work_keys_str_mv | AT josippecaric onconvexitylikeinequalitiesii AT sanjavarosanec onconvexitylikeinequalitiesii |