Local fractional integrals involving generalized strongly m-convex mappings

In this paper, we first obtain a generalized integral identity for twice local fractional differentiable mappings on fractal sets R α ( 0 < α ≤ 1 ) of real line numbers. Then, using twice local fractional differentiable mappings that are in absolute value at certain powers generalized strongly m...

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Bibliographic Details
Published inArabian Journal of Mathematics Vol. 8; no. 2; pp. 95 - 107
Main Authors Anastassiou, George, Kashuri, Artion, Liko, Rozana
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2019
Springer
Springer Nature B.V
Subjects
Convex sets
Identity
Integrals
Maps (Mathematics)
Mathematical research
Mathematics
Mathematics and Statistics
United States
Primary 26A51
26D10
26D07
26D15
Secondary 26A33
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Summary:In this paper, we first obtain a generalized integral identity for twice local fractional differentiable mappings on fractal sets R α ( 0 < α ≤ 1 ) of real line numbers. Then, using twice local fractional differentiable mappings that are in absolute value at certain powers generalized strongly m -convex, we obtain some new estimates on generalization of trapezium-like inequalities. We also discuss some new special cases which can be deduced from our main results.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2193-5343
2193-5351
2193-5351
DOI:10.1007/s40065-018-0214-8