More results on integral inequalities for strongly generalized \((\phi,h,s)\)-preinvex functions

DOI10.1186/S13660-019-2060-4zbMath1499.26168OpenAlexW2947298757MaRDI QIDQ2067838

Sabir Hussain, Shahid Qaisar, Saad Ihsan Butt, Jamshed Nasir

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2060-4

zbMATH Keywords

convex functionsRiemann-Liouville fractional integralSimpson inequalitypower-mean inequality

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

• A generalizations of Simpson's type inequality for differentiable functions using \(({\alpha},m)\)-convex functions and applications
• Recent history of fractional calculus
• Generalized preinvex functions and their properties
• Pre-invex functions in multiple objective optimization
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Nonconvex functions and variational inequalities
• New results using fractional integrals
• Invexity and generalized convexity
• Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals
• New Hermite-Hadamard inequalities for twice differentiable ϕ -MT-preinvex functions
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• MORE RESULTS ON HERMITE-HADAMARD TYPE INEQUALITY THROUGH (<i>α, m</i>)-PREINVEXITY
• Some generalizations of different type of integral inequalities for MT-convex functions
• On Hermite-Hadamard Type Inequalities Via h-Convexity with Applications in Special Means
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