Fractional dual Simpson-type inequalities for differentiable \(s\)-convex functions

DOI10.1515/ANLY-2022-1072MaRDI QIDQ6500043

N. Kamouche, S. Ghomrani, Badreddine Meftah

Publication date: 10 May 2024

Published in: Analysis (München) (Search for Journal in Brave)

zbMATH Keywords

beta functions\(s\)-convex functionsRiemann-Liouville fractional integralsdual Simpson inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Convex functions, partial orderings, and statistical applications
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• On Simpson's inequality and applications
• Fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated \((\log,(\alpha, m))\)-preinvex
• Modification of certain fractional integral inequalities for convex functions
• General Raina fractional integral inequalities on coordinates of convex functions
• Fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated extended \((s_1, m_1)\)-\((s_2, m_2)\)-preinvex
• On generalized fractional integral inequalities for twice differentiable convex functions
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Fractional Simpson like type inequalities for differentiable \(s\)-convex functions
• Some weighted trapezoidal type inequalities via h-preinvexity
• Some new Hermite–Hadamard type inequalities for functions whose n^th derivatives are convex
• Generalized Hermite-Hadamard type integral inequalities for fractional integrals
• Conformable fractional Hermite-Hadamard type inequalities for product of two harmonic 𝑠-convex functions
• On dual Euler-Simpson formulae
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