New generalized trapezoidal type integral inequalities with applications

DOI10.1515/jaa-2020-2028zbMath1473.26024OpenAlexW3113390343MaRDI QIDQ2043450

Erhan Set, Artion Kashuri, Ghulam Farid

Publication date: 2 August 2021

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa-2020-2028

zbMATH Keywords

Hermite-Hadamard inequalitypreinvexitygeneral fractional integrals

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) 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

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• Some integral inequalities of Hermite-Hadamard type for convex functions with applications to means
• 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
• Mean value in invexity analysis
• 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
• The Hadamard inequality for convex function via fractional integrals
• Generalized Hermite-Hadamard type inequalities involving fractional integral operators
• On η-convexity
• Generalizations of Hermite--Hadamard type inequalities for MT-convex functions
• 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 generalized fractional integrals
• Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities involving fractional integral operators
• On generalization of Fejér type inequalities via fractional integral operators
• Hermite-Hadamard type inequalities for harmonically convex functions via Katugampola fractional integrals
• Some new hermite-hadamard type inequalities and their applications
• Some Hermite-Hadamard type inequalities obtain via Riemann-Liouville fractional calculus

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