Mean value theorems for some linear integral operators
In this article we study some mean value results involving linear integral operators on the space of continuous real-valued functions defined on the compact interval [0,1]. The existence of such points will rely on some classical theorems in real analysis like Rolle, Flett and others. Our approa...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2009-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2009/117/abstr.html |
| _version_ | 1819204644767793152 |
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| author | Cezar Lupu Tudorel Lupu |
| author_facet | Cezar Lupu Tudorel Lupu |
| author_sort | Cezar Lupu |
| collection | DOAJ |
| description | In this article we study some mean value results involving linear integral operators on the space of continuous real-valued functions defined on the compact interval [0,1]. The existence of such points will rely on some classical theorems in real analysis like Rolle, Flett and others. Our approach is rather elementary and does not use advanced techniques from functional analysis or nonlinear analysis. |
| first_indexed | 2024-12-23T04:39:05Z |
| format | Article |
| id | doaj.art-a1bd607a125a402a9bdc812e281b7beb |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-23T04:39:05Z |
| publishDate | 2009-09-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-a1bd607a125a402a9bdc812e281b7beb2022-12-21T17:59:48ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912009-09-012009117,115Mean value theorems for some linear integral operatorsCezar LupuTudorel LupuIn this article we study some mean value results involving linear integral operators on the space of continuous real-valued functions defined on the compact interval [0,1]. The existence of such points will rely on some classical theorems in real analysis like Rolle, Flett and others. Our approach is rather elementary and does not use advanced techniques from functional analysis or nonlinear analysis.http://ejde.math.txstate.edu/Volumes/2009/117/abstr.htmlIntegral operatorsmean value theorem |
| spellingShingle | Cezar Lupu Tudorel Lupu Mean value theorems for some linear integral operators Electronic Journal of Differential Equations Integral operators mean value theorem |
| title | Mean value theorems for some linear integral operators |
| title_full | Mean value theorems for some linear integral operators |
| title_fullStr | Mean value theorems for some linear integral operators |
| title_full_unstemmed | Mean value theorems for some linear integral operators |
| title_short | Mean value theorems for some linear integral operators |
| title_sort | mean value theorems for some linear integral operators |
| topic | Integral operators mean value theorem |
| url | http://ejde.math.txstate.edu/Volumes/2009/117/abstr.html |
| work_keys_str_mv | AT cezarlupu meanvaluetheoremsforsomelinearintegraloperators AT tudorellupu meanvaluetheoremsforsomelinearintegraloperators |