Generalized Simpson type inequalities involving Riemann-Liouville fractional integrals and their applications

DOI10.2298/FIL2003751LzbMath1499.26148MaRDI QIDQ5865729

C. Y. Luo, Ting-Song Du

Publication date: 9 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

Riemann-Liouville fractional integralsSimpson-type inequality\((s, m)\)-convexity

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Means (26E60)

Related Items (8)

New version of fractional Simpson type inequalities for twice differentiable functions ⋮ Some Simpson's Riemann-Liouville fractional integral inequalities with applications to special functions ⋮ Integral inequalities of Simpson type via weighted integrals ⋮ On new Milne-type inequalities for fractional integrals ⋮ SIMPSON-LIKE INEQUALITIES FOR TWICE DIFFERENTIABLE (s,P)-CONVEX MAPPINGS INVOLVING WITH AB-FRACTIONAL INTEGRALS AND THEIR APPLICATIONS ⋮ A note on fractional Simpson type inequalities for twice differentiable functions ⋮ Unnamed Item ⋮ Simpson type inequalities and applications

Cites Work

• Bounds of Riemann-Liouville fractional integrals in general form via convex functions and their applications
• A generalization of Simpson's inequality via differentiable mapping using extended \((s,m)\)-convex functions
• Estimates of upper bound for a function associated with Riemann-Liouville fractional integral via \(h\)-convex functions
• Simpson type integral inequalities for generalized fractional integral
• Fractional Hermite-Hadamard inequalities containing generalized Mittag-Leffler function
• Simpson-type inequalities for geometrically relative convex functions
• Properties and integral inequalities of Hadamard- Simpson type for the generalized (s,m) -preinvex functions
• New inequalities for fractional integrals and their applications
• Simpson type integral inequalities for convex functions via Riemann-Liouville integrals
• The left Riemann-Liouville fractional Hermite-Hadamard type inequalities for convex functions
• Some k-fractional extensions of the trapezium inequalities through generalized relative semi-(m,h)-preinvexity
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