New Trapezium Type Inequalities for Preinvex Functions Via Generalized Fractional Integral Operators and Their Applications

DOI10.1007/978-3-030-60622-0_14zbMath1480.26011OpenAlexW3184412823MaRDI QIDQ5153562

Themistocles M. Rassias, Artion Kashuri

Publication date: 30 September 2021

Published in: Approximation Theory and Analytic Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-60622-0_14

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some integral inequalities of Hermite-Hadamard type for convex functions with applications to means
• New approach to a generalized fractional integral
• The Hermite-Hadamard type inequality of GA-convex functions and its application
• Pre-invex functions in multiple objective optimization
• Extensions of different type parameterized inequalities for generalized \((m,h)\)-preinvex mappings via \(k\)-fractional integrals
• Conformable fractional integrals versions of Hermite-Hadamard inequalities and their generalizations
• \(k\)-fractional integral trapezium-like inequalities through \((h,m)\)-convex and \((\alpha,m)\)-convex mappings
• Generalizations of some integral inequalities for fractional integrals
• Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
• A new definition of fractional derivative
• Generalized Hermite-Hadamard type inequalities involving fractional integral operators
• On η-convexity
• Generalizations of Hermite--Hadamard type inequalities for MT-convex functions
• Invexity and generalized convexity
• Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals
• Several complementary inequalities to inequalities of Hermite-Hadamard type for s-convex functions
• On Hermite-Hadamard type inequalities via fractional integrals of a function with respect to another function
• Response functions in linear viscoelastic constitutive equations and related fractional operators
• Some new hermite-hadamard type inequalities and their applications
• Some Hermite-Hadamard type inequalities obtain via Riemann-Liouville fractional calculus

This page was built for publication: New Trapezium Type Inequalities for Preinvex Functions Via Generalized Fractional Integral Operators and Their Applications