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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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Publicly Funded

No
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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

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Fields of Science

01 natural sciences, 0101 mathematics

Citation

WoS Q

Q1

Scopus Q

Q1
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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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