Certain fractional conformable inequalities for the weighted and the extended Chebyshev functionals

DOI10.1186/s13662-020-2543-0zbMath1482.26045OpenAlexW3031760934MaRDI QIDQ2057442

Asifa Tassaddiq, Muhammad Samraiz, Gauhar Rahman, Kottakkaran Sooppy Nisar

Publication date: 6 December 2021

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-2543-0

zbMATH Keywords

Riemann-Liouville fractional integralweighted functionalChebyshev's functionalextended Chebyshev functionalfractional conformable integral

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)

Related Items

New computations for extended weighted functionals within the Hilfer generalized proportional fractional integral operators, Some new fractional inequalities involving convex functions and generalized fractional integral operator, On the weighted fractional Pólya-Szegö and Chebyshev-types integral inequalities concerning another function, On the weighted fractional integral inequalities for Chebyshev functionals, On new modifications governed by quantum Hahn's integral operator pertaining to fractional calculus, Some trapezium-like inequalities involving functions having strongly \(n\)-polynomial preinvexity property of higher order, Some novel inequalities for Caputo Fabrizio fractional integrals involving (α,s)-convex functions with applications, Some new tempered fractional Pólya-Szegö and Chebyshev-type inequalities with respect to another function, Certain new proportional and Hadamard proportional fractional integral inequalities, On generalized fractional integral inequalities for the monotone weighted Chebyshev functionals

Cites Work

• On conformable fractional calculus
• A generalization of Grüss's inequality in inner product spaces and applications
• Some integral inequalities of Grüss type
• On a new class of fractional operators
• Certain Hermite-Hadamard type inequalities involving generalized fractional integral operators
• Some inequalities via fractional conformable integral operators
• Certain generalized fractional integral inequalities
• A new definition of fractional derivative
• Conformable fractional integral inequalities of Chebyshev type
• Some inequalities of Čebyšev type for conformable \(k\)-fractional integral operators
• Some new inequalities of the Grüss type for conformable fractional integrals
• Generalized Hermite-Hadamard type inequalities involving fractional integral operators
• On generalization of Fejér type inequalities via fractional integral operators
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• A New Approach to Generalized Fractional Derivatives
• Some improvements of Grüss type inequality
• Analytic Inequalities
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item