Ostrowski Type Inequalities Via New Fractional Conformable Integrals
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Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
Yes
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OpenAIRE Views
Publicly Funded
No
Abstract
In this present study, firstly, some necessary definitions and some results related to Riemann-Liouville fractional and new fractional conformable integral operators defined by Jarad et al. [13] are given. As a second, a new identity has been proved. By using this identity, new Ostrowski type inequalities has obtained involving fractional conformable integral operators. Also, some new inequalities has established for AG-convex functions via fractional conformable integrals in this study. Relevant connections of the results presented here with those earlier ones are also pointed out.
Description
/0000-0003-1364-5396; Akdemir, Ahmet Ocak/0000-0003-2466-0508
Keywords
S-Convex Function, Hermite-Hadamard Inequality, Fractional Conformable Integral, fractional conformable integral, Conformable matrix, Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Operator Inequalities, Fractional Integrals, QA1-939, FOS: Mathematics, Hadamard Type Inequalities, Convex-Functions, Viscous-Fluid, hermite-hadamard inequality, Applied Mathematics, Physics, FOS: Clinical medicine, Pure mathematics, Paleontology, Geology, FOS: Earth and related environmental sciences, Stability of Functional Equations in Mathematical Analysis, Hermite-Hadamard inequality, Inequality, s-convex function, Dentistry, Physical Sciences, Medicine, Calculus (dental), Type (biology), Derivatives, Mathematics, \(s\)-convex function, Convexity of real functions in one variable, generalizations, Fractional derivatives and integrals, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals
Turkish CoHE Thesis Center URL
Fields of Science
01 natural sciences, 0101 mathematics
Citation
WoS Q
Q1
Scopus Q
Q1

OpenCitations Citation Count
12
Source
AIMS Mathematics
Volume
4
Issue
6
Start Page
1684
End Page
1697
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Citations
Scopus : 23
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Mendeley Readers : 1
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2.59365653
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