More on Ostrowski Type Inequalities for some S-Convex Functions in the Second Sense
Some Ostrowski type inequalities for functions whose second derivatives in absolute value at certain powers are s-convex in the second sense are established. Two mistakes in a recently published paper are pointed out and corrected.
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| Format: | Article |
| Language: | English |
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De Gruyter
2016-12-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/dema.2016.49.issue-4/dema-2016-0034/dema-2016-0034.xml?format=INT |
| _version_ | 1818482150763134976 |
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| author | Liu Zeng |
| author_facet | Liu Zeng |
| author_sort | Liu Zeng |
| collection | DOAJ |
| description | Some Ostrowski type inequalities for functions whose second derivatives in absolute value at certain powers are s-convex in the second sense are established. Two mistakes in a recently published paper are pointed out and corrected. |
| first_indexed | 2024-12-10T11:44:23Z |
| format | Article |
| id | doaj.art-4ff14705ffbc4b059e4b1adb312316b5 |
| institution | Directory Open Access Journal |
| issn | 0420-1213 2391-4661 |
| language | English |
| last_indexed | 2024-12-10T11:44:23Z |
| publishDate | 2016-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-4ff14705ffbc4b059e4b1adb312316b52022-12-22T01:50:08ZengDe GruyterDemonstratio Mathematica0420-12132391-46612016-12-0149439841210.1515/dema-2016-0034dema-2016-0034More on Ostrowski Type Inequalities for some S-Convex Functions in the Second SenseLiu Zeng0Institute Of Applied Mathematics, School Of Science University Of Science And Technology Liaoning Anshan 114005, Liaoning, ChinaSome Ostrowski type inequalities for functions whose second derivatives in absolute value at certain powers are s-convex in the second sense are established. Two mistakes in a recently published paper are pointed out and corrected.http://www.degruyter.com/view/j/dema.2016.49.issue-4/dema-2016-0034/dema-2016-0034.xml?format=INTOstrowski type inequalityconvex functions-convex functionHölder inequality |
| spellingShingle | Liu Zeng More on Ostrowski Type Inequalities for some S-Convex Functions in the Second Sense Demonstratio Mathematica Ostrowski type inequality convex function s-convex function Hölder inequality |
| title | More on Ostrowski Type Inequalities for some S-Convex Functions in the Second Sense |
| title_full | More on Ostrowski Type Inequalities for some S-Convex Functions in the Second Sense |
| title_fullStr | More on Ostrowski Type Inequalities for some S-Convex Functions in the Second Sense |
| title_full_unstemmed | More on Ostrowski Type Inequalities for some S-Convex Functions in the Second Sense |
| title_short | More on Ostrowski Type Inequalities for some S-Convex Functions in the Second Sense |
| title_sort | more on ostrowski type inequalities for some s convex functions in the second sense |
| topic | Ostrowski type inequality convex function s-convex function Hölder inequality |
| url | http://www.degruyter.com/view/j/dema.2016.49.issue-4/dema-2016-0034/dema-2016-0034.xml?format=INT |
| work_keys_str_mv | AT liuzeng moreonostrowskitypeinequalitiesforsomesconvexfunctionsinthesecondsense |