On the Hermite-Hadamard's and Ostrowski's inequalities for the co-ordinated convex functions
In this paper, we give new some inequalities of Hermite-Hadamard's and Ostrowski's type for convex functions on the co-ordinates defined in a rec- tangle from the plane. Our established results generalize some recent results for functions whose partial derivatives in absolute value are con...
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BİSKA Bilisim Company
2017-08-01
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| Series: | New Trends in Mathematical Sciences |
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| Online Access: | https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8304 |
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doaj-2d8a5dbbecd848f6ac847cdee4e3eec72020-11-24T23:09:40ZengBİSKA Bilisim CompanyNew Trends in Mathematical Sciences2147-55202147-55202017-08-0153334510.20852/ntmsci.2017.1828304On the Hermite-Hadamard's and Ostrowski's inequalities for the co-ordinated convex functionsSamet Erden0Mehmet Zeki SARIKAYA1Bartin UniversityDüzce UniversityIn this paper, we give new some inequalities of Hermite-Hadamard's and Ostrowski's type for convex functions on the co-ordinates defined in a rec- tangle from the plane. Our established results generalize some recent results for functions whose partial derivatives in absolute value are convex on the co-ordinates on the rectangle from the plane.https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8304Convex functionco-ordinated convex mappingOstrowski inequalityHermite-Hadamard inequality. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Samet Erden Mehmet Zeki SARIKAYA |
| spellingShingle |
Samet Erden Mehmet Zeki SARIKAYA On the Hermite-Hadamard's and Ostrowski's inequalities for the co-ordinated convex functions New Trends in Mathematical Sciences Convex function co-ordinated convex mapping Ostrowski inequality Hermite-Hadamard inequality. |
| author_facet |
Samet Erden Mehmet Zeki SARIKAYA |
| author_sort |
Samet Erden |
| title |
On the Hermite-Hadamard's and Ostrowski's inequalities for the co-ordinated convex functions |
| title_short |
On the Hermite-Hadamard's and Ostrowski's inequalities for the co-ordinated convex functions |
| title_full |
On the Hermite-Hadamard's and Ostrowski's inequalities for the co-ordinated convex functions |
| title_fullStr |
On the Hermite-Hadamard's and Ostrowski's inequalities for the co-ordinated convex functions |
| title_full_unstemmed |
On the Hermite-Hadamard's and Ostrowski's inequalities for the co-ordinated convex functions |
| title_sort |
on the hermite-hadamard's and ostrowski's inequalities for the co-ordinated convex functions |
| publisher |
BİSKA Bilisim Company |
| series |
New Trends in Mathematical Sciences |
| issn |
2147-5520 2147-5520 |
| publishDate |
2017-08-01 |
| description |
In this paper, we give new some inequalities of Hermite-Hadamard's
and Ostrowski's type for convex functions on the co-ordinates defined in a rec-
tangle from the plane. Our established results generalize some recent results
for functions whose partial derivatives in absolute value are convex on the
co-ordinates on the rectangle from the plane. |
| topic |
Convex function co-ordinated convex mapping Ostrowski inequality Hermite-Hadamard inequality. |
| url |
https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8304 |
| work_keys_str_mv |
AT sameterden onthehermitehadamardsandostrowskisinequalitiesforthecoordinatedconvexfunctions AT mehmetzekisarikaya onthehermitehadamardsandostrowskisinequalitiesforthecoordinatedconvexfunctions |
| _version_ |
1725609923244457984 |