Inequality for power series with nonnegative coefficients and applications
We establish in this paper some Jensen’s type inequalities for functions defined by power series with nonnegative coefficients. Applications for functions of selfadjoint operators on complex Hilbert spaces are provided as well.
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| Language: | English |
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De Gruyter
2015-10-01
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| Series: | Open Mathematics |
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| Online Access: | http://www.degruyter.com/view/j/math.2015.13.issue-1/math-2015-0061/math-2015-0061.xml?format=INT |
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doaj-a1c0d9af6a2c46f4831f9ded6da3f2302020-11-24T20:51:55ZengDe GruyterOpen Mathematics2391-54552015-10-0113110.1515/math-2015-0061math-2015-0061Inequality for power series with nonnegative coefficients and applicationsDragomir Silvestru Sever0Mathematics, School of Engineering We establish in this paper some Jensen’s type inequalities for functions defined by power series with nonnegative coefficients. Applications for functions of selfadjoint operators on complex Hilbert spaces are provided as well.http://www.degruyter.com/view/j/math.2015.13.issue-1/math-2015-0061/math-2015-0061.xml?format=INTJensen’s inequality Measurable functions Lebesgue integral Selfadjoint operatorsFunctions of selfadjoint operators |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Dragomir Silvestru Sever |
| spellingShingle |
Dragomir Silvestru Sever Inequality for power series with nonnegative coefficients and applications Open Mathematics Jensen’s inequality Measurable functions Lebesgue integral Selfadjoint operators Functions of selfadjoint operators |
| author_facet |
Dragomir Silvestru Sever |
| author_sort |
Dragomir Silvestru Sever |
| title |
Inequality for power series with nonnegative
coefficients and applications |
| title_short |
Inequality for power series with nonnegative
coefficients and applications |
| title_full |
Inequality for power series with nonnegative
coefficients and applications |
| title_fullStr |
Inequality for power series with nonnegative
coefficients and applications |
| title_full_unstemmed |
Inequality for power series with nonnegative
coefficients and applications |
| title_sort |
inequality for power series with nonnegative
coefficients and applications |
| publisher |
De Gruyter |
| series |
Open Mathematics |
| issn |
2391-5455 |
| publishDate |
2015-10-01 |
| description |
We establish in this paper some Jensen’s type inequalities for functions defined by power series with
nonnegative coefficients. Applications for functions of selfadjoint operators on complex Hilbert spaces are provided
as well. |
| topic |
Jensen’s inequality Measurable functions Lebesgue integral Selfadjoint operators Functions of selfadjoint operators |
| url |
http://www.degruyter.com/view/j/math.2015.13.issue-1/math-2015-0061/math-2015-0061.xml?format=INT |
| work_keys_str_mv |
AT dragomirsilvestrusever inequalityforpowerserieswithnonnegativecoefficientsandapplications |
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