Some new fractional inequalities involving convex functions and generalized fractional integral operator

DOI10.1155/2022/2350193zbMath1498.26064OpenAlexW4220741411MaRDI QIDQ2138100

Mohammed S. Abdo, Alawiah Ibrahim, Majid K. Neamah, Hala Shaker Mehdy, Saleh S. Redhwan

Publication date: 11 May 2022

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/2350193

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Cites Work

• Certain inequalities associated with Hadamard \(k\)-fractional integral operators
• Certain Hermite-Hadamard type inequalities via generalized \(k\)-fractional integrals
• On generalized Grüss type inequalities for \(k\)-fractional integrals
• Some integral inequalities of Grüss type
• Certain Chebyshev type integral inequalities involving Hadamard's fractional operators
• Certain fractional conformable inequalities for the weighted and the extended Chebyshev functionals
• A Gronwall inequality via the generalized proportional fractional derivative with applications
• Chebyshev type inequalities via generalized fractional conformable integrals
• The Minkowski inequalities via generalized proportional fractional integral operators
• Fractional logistic models in the frame of fractional operators generated by conformable derivatives
• Some new tempered fractional Pólya-Szegö and Chebyshev-type inequalities with respect to another function
• Certain Grüss type inequalities involving the generalized fractional integral operator
• Generalized proportional fractional integral inequalities for convex functions
• On Pólya-Szegö and Chebyshev types inequalities involving the Riemann-Liouville fractional integral operators
• (k,s)-Riemann-Liouville fractional integral and applications
• On Hermite--Hadamard type inequalities via generalized fractional integrals
• Some inequalities involving Hadamard‐type k‐fractional integral operators
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