Inequalities of Ando's Type for $n$-convex Functions
By utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Ando's inequality and in the Edmundson-Lah-Ribariv c inequality for solidarities that hold for a class of $n$-convex functions. As an applic...
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University of Maragheh
2020-06-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | http://scma.maragheh.ac.ir/article_37469_2d7ac926af76cbb8dedb6c7e2dfbdd48.pdf |
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doaj-0dd1048acd2b4c9fb1c70511b06882a12020-11-25T03:06:13ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002020-06-0117213915910.22130/scma.2018.94775.50637469Inequalities of Ando's Type for $n$-convex FunctionsRozarija Mikic0Josip Pečarić1University of Zagreb, Faculty of Textile Technology, 10000 Zagreb, Croatia.RUDN University, Miklukho-Maklaya str. 6, 117198 Moscow, Russia.By utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Ando's inequality and in the Edmundson-Lah-Ribariv c inequality for solidarities that hold for a class of $n$-convex functions. As an application, main results are applied to some operator means and relative operator entropy.http://scma.maragheh.ac.ir/article_37469_2d7ac926af76cbb8dedb6c7e2dfbdd48.pdfsolidaritiesando's inequalityedmundson-lah-ribariv c inequality$n$-convex functionsoperator means |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Rozarija Mikic Josip Pečarić |
| spellingShingle |
Rozarija Mikic Josip Pečarić Inequalities of Ando's Type for $n$-convex Functions Sahand Communications in Mathematical Analysis solidarities ando's inequality edmundson-lah-ribariv c inequality $n$-convex functions operator means |
| author_facet |
Rozarija Mikic Josip Pečarić |
| author_sort |
Rozarija Mikic |
| title |
Inequalities of Ando's Type for $n$-convex Functions |
| title_short |
Inequalities of Ando's Type for $n$-convex Functions |
| title_full |
Inequalities of Ando's Type for $n$-convex Functions |
| title_fullStr |
Inequalities of Ando's Type for $n$-convex Functions |
| title_full_unstemmed |
Inequalities of Ando's Type for $n$-convex Functions |
| title_sort |
inequalities of ando's type for $n$-convex functions |
| publisher |
University of Maragheh |
| series |
Sahand Communications in Mathematical Analysis |
| issn |
2322-5807 2423-3900 |
| publishDate |
2020-06-01 |
| description |
By utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Ando's inequality and in the Edmundson-Lah-Ribariv c inequality for solidarities that hold for a class of $n$-convex functions. As an application, main results are applied to some operator means and relative operator entropy. |
| topic |
solidarities ando's inequality edmundson-lah-ribariv c inequality $n$-convex functions operator means |
| url |
http://scma.maragheh.ac.ir/article_37469_2d7ac926af76cbb8dedb6c7e2dfbdd48.pdf |
| work_keys_str_mv |
AT rozarijamikic inequalitiesofandostypefornconvexfunctions AT josippecaric inequalitiesofandostypefornconvexfunctions |
| _version_ |
1724674515397509120 |