A Note of Jessen’s Inequality and Their Applications to Mean-Operators
A variant of Jessen’s type inequality for a semigroup of positive linear operators, defined on a Banach lattice algebra, is obtained. The corresponding mean value theorems lead to a new family of mean-operators.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/6/879 |
| _version_ | 1797445468888760320 |
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| author | Gul I Hina Aslam Amjad Ali Khaled Mehrez |
| author_facet | Gul I Hina Aslam Amjad Ali Khaled Mehrez |
| author_sort | Gul I Hina Aslam |
| collection | DOAJ |
| description | A variant of Jessen’s type inequality for a semigroup of positive linear operators, defined on a Banach lattice algebra, is obtained. The corresponding mean value theorems lead to a new family of mean-operators. |
| first_indexed | 2024-03-09T13:26:14Z |
| format | Article |
| id | doaj.art-5ee19809d86747c88ba24911e7a27a48 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T13:26:14Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-5ee19809d86747c88ba24911e7a27a482023-11-30T21:23:27ZengMDPI AGMathematics2227-73902022-03-0110687910.3390/math10060879A Note of Jessen’s Inequality and Their Applications to Mean-OperatorsGul I Hina Aslam0Amjad Ali1Khaled Mehrez2Pakistan Navy Engineering College, National University of Sciences and Technology, Karachi 74000, PakistanFaculty of Science and Technology, University of Debrecen, 4001 Debrecen, HungaryDépartement de Mathématiques, Faculté des Sciences de Tunis, Université Tunis El Manar, Tunis 1068, TunisiaA variant of Jessen’s type inequality for a semigroup of positive linear operators, defined on a Banach lattice algebra, is obtained. The corresponding mean value theorems lead to a new family of mean-operators.https://www.mdpi.com/2227-7390/10/6/879Jessen’s type inequalitiespositive semigroup of operatorsmean-operators |
| spellingShingle | Gul I Hina Aslam Amjad Ali Khaled Mehrez A Note of Jessen’s Inequality and Their Applications to Mean-Operators Mathematics Jessen’s type inequalities positive semigroup of operators mean-operators |
| title | A Note of Jessen’s Inequality and Their Applications to Mean-Operators |
| title_full | A Note of Jessen’s Inequality and Their Applications to Mean-Operators |
| title_fullStr | A Note of Jessen’s Inequality and Their Applications to Mean-Operators |
| title_full_unstemmed | A Note of Jessen’s Inequality and Their Applications to Mean-Operators |
| title_short | A Note of Jessen’s Inequality and Their Applications to Mean-Operators |
| title_sort | note of jessen s inequality and their applications to mean operators |
| topic | Jessen’s type inequalities positive semigroup of operators mean-operators |
| url | https://www.mdpi.com/2227-7390/10/6/879 |
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