Chebyshev type inequalities via generalized fractional conformable integrals

Our aim in this present paper is to establish several Chebyshev type inequalities involving generalized fractional conformable integral operator recently introduced by T.U. Khan and M.A. Khan (J. Comput. Appl. Math. 346:378–389, 2019 ). Also, we present Chebyshev type inequalities involving Riemann–...

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Published inJournal of inequalities and applications Vol. 2019; no. 1; pp. 1 - 9
Main Authors Nisar, Kottakkaran Sooppy, Rahman, Gauhar, Mehrez, Khaled
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 11.09.2019
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Chebyshev approximation
Fractional integral
Generalized fractional conformable integral
Inequalities
Integrals
Mathematics
Mathematics and Statistics
Operators (mathematics)
26D10
33B20
Fractional integral
Inequalities
26A33
90C23
Generalized fractional conformable integral
26D15
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Summary:Our aim in this present paper is to establish several Chebyshev type inequalities involving generalized fractional conformable integral operator recently introduced by T.U. Khan and M.A. Khan (J. Comput. Appl. Math. 346:378–389, 2019 ). Also, we present Chebyshev type inequalities involving Riemann–Liouville type fractional conformable integral operators as a particular result of our main result.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-019-2197-1