Some new Ostrowski type fractional integral inequalities for generalized relative semi-(r; m, h)-preinvex mappings via Caputo k -fractional derivatives

DOI10.4067/S0716-09172019000200363zbMath1444.26008OpenAlexW2947506816MaRDI QIDQ3295002

Rozana Liko, Artion Kashuri

Publication date: 30 June 2020

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4067/s0716-09172019000200363

zbMATH Keywords

Hölder inequalityOstrowski-type inequalityMinkowski inequalitypower mean inequality\(m\)-invexCaputo \(k\)-fractional derivatives

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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inequalities for \(h\)-preinvex functions
• On conformable fractional calculus
• Inequalities for \(\alpha\)-fractional differentiable functions
• On Minkowski and Hermite-Hadamard integral inequalities via fractional integration
• On \(h\)-convexity
• Weighted Čebyšev-Ostrowski type inequalities
• Ostrowski type inequalities for functions whose derivatives are \(s\)-convex in the second sense
• Some remarks on \(s\)-convex functions
• An inequality of Ostrowski-Grüss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules
• Generalized invexity and generalized invariant monotonicity
• On an inequality of Ostrowski type in three independent variables
• Conformable fractional integrals versions of Hermite-Hadamard inequalities and their generalizations
• Hermite-Hadamard type inequalities for generalized \((s,m,\varphi)\)-preinvex functions via \(k\)-fractional integrals
• Sharp inequalities of Simpson type and Ostrowski type
• Mean value in invexity analysis
• Hermite-Hadamard type inequalities for conformable fractional integrals
• \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming
• The Ostrowski's integral inequality for Lipschitzian mappings and applications
• A new definition of fractional derivative
• On sharp inequalities of Simpson type and Ostrowski type in two independent variables
• Some Ostrowski-Grüss type inequalities and applications
• On Ostrowski type inequalities
• Properties and integral inequalities of Hadamard- Simpson type for the generalized (s,m) -preinvex functions
• Some inequalities of Ostrowski and Grüss type for triple integrals on time scales
• New results using fractional integrals
• Ostrowski's Type Inequalities for (α, m)-Convex Function
• Some new Ostrowski type fractional integral inequalities for generalized $(r;g,s,m,varphi)$-preinvex functions via Caputo $k$-fractional derivatives
• New Generalizations of Ostrowski-Like Type Inequalities for Fractional Integrals
• Invexity and generalized convexity
• Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals
• Generalizations of Hermite-Hadamard and Ostrowski type inequalities for MTm-preinvex functions
• A study on Hermite-Hadamard type inequalities for s-convex functions via conformable fractional integrals
• Ostrowski Type Fractional Integral Operators for Generalized Beta $(r,g)$-Preinvex Functions
• Chebyshev type inequalities for conformable fractional integrals
• Hermite-Hadamard type fractional integral inequalities for MT$_{(m,\varphi)}$-preinvex functions
• New integral inequalities via P-convexity
• A New Approach to Generalized Fractional Derivatives
• HERMITE-HADAMARD TYPE INEQUALITIES FOR TWICE DIFFERENTIABLE m-CONVEX FUNCTIONS VIA CONFORMABLE FRACTIONAL INTEGRALS
• Some integral inequalities of Simpson type for GA-ɛ-convex functions

This page was built for publication: Some new Ostrowski type fractional integral inequalities for generalized relative semi-(r; m, h)-preinvex mappings via Caputo k -fractional derivatives