Several integral inequalities for generalized Riemann-Liouville fractional operators
In this paper, using a generalized integral operator, of the Riemann- Liouville type, de ned and studied in a previous work by the authors, we obtain various integral inequalities for positive functions, which contains several re- ported in the literature. Various remarks carried out throughout the...
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| Veröffentlicht in: | Communications Series A1 Mathematics & Statistics 2021-01, Vol.70 (1), p.269-278 |
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| container_title | Communications Series A1 Mathematics & Statistics |
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| creator | GALEANO DELGADO, Juan Gabriel NAPOLES VALDES, Juan Eduardo PÉREZ REYES, Edgardo |
| description | In this paper, using a generalized integral operator, of the Riemann-
Liouville type, de
ned and studied in a previous work by the authors, we obtain
various integral inequalities for positive functions, which contains several re-
ported in the literature. Various remarks carried out throughout the work and
pointed out in the Conclusions, show the scope and strength of our results,
in particular, it is shown that under particular cases of the considered kernel,
several known fractional integral operators are obtained. |
| doi_str_mv | 10.31801/cfsuasmas.771172 |
| format | Article |
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Liouville type, de
ned and studied in a previous work by the authors, we obtain
various integral inequalities for positive functions, which contains several re-
ported in the literature. Various remarks carried out throughout the work and
pointed out in the Conclusions, show the scope and strength of our results,
in particular, it is shown that under particular cases of the considered kernel,
several known fractional integral operators are obtained.</description><identifier>ISSN: 1303-5991</identifier><identifier>DOI: 10.31801/cfsuasmas.771172</identifier><language>eng</language><publisher>Ankara Üniversitesi Fen Fakültesi</publisher><subject>Matematik</subject><ispartof>Communications Series A1 Mathematics & Statistics, 2021-01, Vol.70 (1), p.269-278</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c251t-e298b48898c6a2abc7c30ab7342339a54d0ac9087f9b4d7bebf45440b4eb491f3</citedby><cites>FETCH-LOGICAL-c251t-e298b48898c6a2abc7c30ab7342339a54d0ac9087f9b4d7bebf45440b4eb491f3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><contributor>Bereketoğlu,Hüseyin</contributor><creatorcontrib>GALEANO DELGADO, Juan Gabriel</creatorcontrib><creatorcontrib>NAPOLES VALDES, Juan Eduardo</creatorcontrib><creatorcontrib>PÉREZ REYES, Edgardo</creatorcontrib><title>Several integral inequalities for generalized Riemann-Liouville fractional operators</title><title>Communications Series A1 Mathematics & Statistics</title><description>In this paper, using a generalized integral operator, of the Riemann-
Liouville type, de
ned and studied in a previous work by the authors, we obtain
various integral inequalities for positive functions, which contains several re-
ported in the literature. Various remarks carried out throughout the work and
pointed out in the Conclusions, show the scope and strength of our results,
in particular, it is shown that under particular cases of the considered kernel,
several known fractional integral operators are obtained.</description><subject>Matematik</subject><issn>1303-5991</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNo9kLFOwzAURT2ARCl8AFtGlhQ7dnA8VqVApUhIUGbr2XmuXKVxsZNK8PUEgpjuHc57ujqE3DC64Kyi7M66NEA6QFpIyZgszsiMccrzUil2QS5T2lPKuRBsRrZveMIIbea7HndTwY8BWt97TJkLMdth90P4L2yyV48H6Lq89mE4-bbFzEWwvQ_deBmOI9eHmK7IuYM24fVfzsn743q7es7rl6fNalnntihZn2OhKiOqSlX2HgowVlpOwUguCs4VlKKhYBWtpFNGNNKgcaIUghqBRijm-JzcTn99g9CGrh23630Y4rgm6c3DellrJpiQfETZhNoYUoro9DH6A8RPzaj-tab_renJGv8G5g9mtw</recordid><startdate>20210101</startdate><enddate>20210101</enddate><creator>GALEANO DELGADO, Juan Gabriel</creator><creator>NAPOLES VALDES, Juan Eduardo</creator><creator>PÉREZ REYES, Edgardo</creator><general>Ankara Üniversitesi Fen Fakültesi</general><scope>AAYXX</scope><scope>CITATION</scope><scope>IEBAR</scope></search><sort><creationdate>20210101</creationdate><title>Several integral inequalities for generalized Riemann-Liouville fractional operators</title><author>GALEANO DELGADO, Juan Gabriel ; NAPOLES VALDES, Juan Eduardo ; PÉREZ REYES, Edgardo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c251t-e298b48898c6a2abc7c30ab7342339a54d0ac9087f9b4d7bebf45440b4eb491f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Matematik</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>GALEANO DELGADO, Juan Gabriel</creatorcontrib><creatorcontrib>NAPOLES VALDES, Juan Eduardo</creatorcontrib><creatorcontrib>PÉREZ REYES, Edgardo</creatorcontrib><collection>CrossRef</collection><collection>Idealonline online kütüphane - Journals</collection><jtitle>Communications Series A1 Mathematics & Statistics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>GALEANO DELGADO, Juan Gabriel</au><au>NAPOLES VALDES, Juan Eduardo</au><au>PÉREZ REYES, Edgardo</au><au>Bereketoğlu,Hüseyin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Several integral inequalities for generalized Riemann-Liouville fractional operators</atitle><jtitle>Communications Series A1 Mathematics & Statistics</jtitle><date>2021-01-01</date><risdate>2021</risdate><volume>70</volume><issue>1</issue><spage>269</spage><epage>278</epage><pages>269-278</pages><issn>1303-5991</issn><abstract>In this paper, using a generalized integral operator, of the Riemann-
Liouville type, de
ned and studied in a previous work by the authors, we obtain
various integral inequalities for positive functions, which contains several re-
ported in the literature. Various remarks carried out throughout the work and
pointed out in the Conclusions, show the scope and strength of our results,
in particular, it is shown that under particular cases of the considered kernel,
several known fractional integral operators are obtained.</abstract><pub>Ankara Üniversitesi Fen Fakültesi</pub><doi>10.31801/cfsuasmas.771172</doi><tpages>10</tpages><oa>free_for_read</oa></addata></record> |
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| identifier | ISSN: 1303-5991 |
| ispartof | Communications Series A1 Mathematics & Statistics, 2021-01, Vol.70 (1), p.269-278 |
| issn | 1303-5991 |
| language | eng |
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| subjects | Matematik |
| title | Several integral inequalities for generalized Riemann-Liouville fractional operators |
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