New bounds for the Ostrowski-type inequalities via conformable fractional calculus

In this paper, we have introduced the new upper bounds for Ostrowski-type integral inequalities by using conformable fractional integral. In accordance with this purpose, we have benefited from the Taylor expansion for conformable fractional derivatives which was introduced by Anderson.

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Bibliographic Details
Published inArabian Journal of Mathematics Vol. 7; no. 4; pp. 317 - 328
Main Authors Usta, Fuat, Budak, Hüseyin, Tunç, Tuba, Sarikaya, Mehmet Zeki
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2018
Springer
Springer Nature B.V
Subjects
Calculus (Mathematics)
Equality
Fractional calculus
Inequalities
Inequalities (Mathematics)
Integrals
Mathematical research
Mathematics
Mathematics and Statistics
Scientists
Upper bounds
41A55
65D30
41A58
26D15
26A33
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Summary:In this paper, we have introduced the new upper bounds for Ostrowski-type integral inequalities by using conformable fractional integral. In accordance with this purpose, we have benefited from the Taylor expansion for conformable fractional derivatives which was introduced by Anderson.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:2193-5343
2193-5351
2193-5351
DOI:10.1007/s40065-018-0201-0