Non-conformable integral inequalities of Chebyshev-Pólya-Szegö type

DOI10.7153/jmi-2021-15-94zbMath1489.26005OpenAlexW3215114506MaRDI QIDQ5028923

Saad Ihsan Butt, Ahmet Ocak Akdemir, Dumitru Baleanu, Praveen Agarwal

Publication date: 11 February 2022

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2021-15-94

zbMATH Keywords

Chebyshev inequalityPólya-Szegö-type inequalitiesnon-conformable integral operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• On conformable fractional calculus
• On the generalization of Ostrowski and Grüss type discrete inequalities
• Hadamard and Fejér-Hadamard inequalities for extended generalized fractional integrals involving special functions
• Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• \((h-m)\)-convex functions and associated fractional Hadamard and Fejér-Hadamard inequalities via an extended generalized Mittag-Leffler function
• A new definition of fractional derivative
• On Pólya-Szegö and Chebyshev types inequalities involving the Riemann-Liouville fractional integral operators
• The extended Mittag-Leffler function via fractional calculus
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