Some generalized fractional integral inequalities with nonsingular function as a kernel

DOI10.3934/math.2021201OpenAlexW3125066231MaRDI QIDQ2144829

Gauhar Rahman, Rana Safdar Ali, Shahid Mubeen, Iqra Nayab, Dumitru Baleanu, Kottakkaran Sooppy Nisar

Publication date: 17 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021201

zbMATH Keywords

convexityfractional derivatives and integralsgeneralized multi-index Bessel functioninequalities and integral operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Convexity of real functions in one variable, generalizations (26A51)

Related Items (2)

Ostrowski-type inequalities pertaining to Atangana-Baleanu fractional operators and applications containing special functions ⋮ New Hadamard-Mercer inequalities pertaining Atangana-Baleanu operator in Katugampola sense with applications

Cites Work

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• Some integral inequalities of Hermite-Hadamard type for convex functions with applications to means
• On conformable fractional calculus
• New approach to a generalized fractional integral
• On generalized Grüss type inequalities for \(k\)-fractional integrals
• A generalization of Mercer's result on convex functions
• Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
• Pre-invex functions in multiple objective optimization
• Monotonicity results for fractional difference operators with discrete exponential kernels
• On a new class of fractional operators
• New half-discrete Hilbert inequalities for three variables
• Some inequalities via fractional conformable integral operators
• Some fractional proportional integral inequalities
• Chebyshev type inequalities via generalized fractional conformable integrals
• Certain Grüss-type inequalities via tempered fractional integrals concerning another function
• Generation of new fractional inequalities via \(n\) polynomials \(s\)-type convexity with applications
• Certain inequalities via generalized proportional Hadamard fractional integral operators
• The Minkowski inequalities via generalized proportional fractional integral operators
• New classes of strongly exponentially preinvex functions
• \(k\)-fractional integral inequalities of Hadamard type for exponentially \((s, m)\)-convex functions
• Certain generalized fractional integral inequalities
• Some new inequalities for generalized fractional conformable integral operators
• New converses of Jensen inequality via Green functions with applications
• Some fractional operators with the generalized Bessel-Maitland function
• Some inequalities of the Grüss type for conformable \(k\)-fractional integral operators
• Some inequalities of Čebyšev type for conformable \(k\)-fractional integral operators
• Some new inequalities of the Grüss type for conformable fractional integrals
• An extension by means of ω-weighted classes of the generalized Riemann-Liouville k-fractional integral inequalities
• Some k-fractional extensions of the trapezium inequalities through generalized relative semi-(m,h)-preinvexity
• On the branch curve of a general projection of a surface to a plane
• New inequalities for generalized m-convex functions via generalized fractional integral operators and their applications
• A note on fractional integral operator associated with multiindex Mittag-Leffler functions
• Some new hermite-hadamard type inequalities and their applications
• On Maitland's Generalised Bessel Function

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