Inequalities for \(h\)-preinvex functions
From MaRDI portal
Publication:470742
DOI10.1016/J.AMC.2014.02.030zbMath1302.26015OpenAlexW2066465501MaRDI QIDQ470742
Publication date: 13 November 2014
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.02.030
Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25)
Related Items (37)
Some Hermite-Hadamard type inequalities for generalized \(h\)-preinvex function via local fractional integrals and their applications ⋮ Fuzzy-interval inequalities for generalized preinvex fuzzy interval valued functions ⋮ Some inequalities for multiplicative tempered fractional integrals involving the \(\lambda \)-incomplete gamma functions ⋮ Some parameterized inequalities arising from the tempered fractional integrals involving the (μ,η)-incomplete gamma functions ⋮ Unnamed Item ⋮ New inequalities for strongly exponentially generalized functions with applications ⋮ Some new Hermite-Hadamard type inequalities via \(k\)-fractional integrals concerning differentiable generalized relative semi-\((r;m,p,q,h_1,h_2)\)-preinvex mappings ⋮ Some different type integral inequalities concerning twice differentiable generalized relative semi-\((r; m, h)\)-preinvex mappings ⋮ Relative h-preinvex functions and integral inequalities ⋮ Fractional integral inequalities for generalized-\(\mathbf{m}\)-\(((h_1^p,h_2^q); (\eta_1,\eta_2))\)-convex mappings via an extended generalized Mittag-Leffler function ⋮ \(k\)-fractional integral trapezium-like inequalities through \((h,m)\)-convex and \((\alpha,m)\)-convex mappings ⋮ Unnamed Item ⋮ Some New Hermite–Hadamard Type Integral Inequalities via Caputo k–Fractional Derivatives and Their Applications ⋮ Some New Hermite–Hadamard Type Integral Inequalities for Twice Differentiable Mappings and Their Applications ⋮ Some New Hermite–Hadamard Type Integral Inequalities for Twice Differentiable Generalized ((h 1, h 2); (η 1, η 2))-Convex Mappings and Their Applications ⋮ Unnamed Item ⋮ Some new Hermite-Hadamard type inequalities via Caputo k-fractional derivatives concerning (n+1)-differentiable generalized relative semi-(r;m,h_1,h_2)-preinvex mappings ⋮ Some new Ostrowski type fractional integral inequalities for generalized relative semi-(r; m, h)-preinvex mappings via Caputo k -fractional derivatives ⋮ Some Different Type Integral Inequalities and Their Applications ⋮ Riemann-Liouville fractional trapezium-like inequalities via generalized (m, h 1 , h 2 )-preinvexity ⋮ Some k-fractional extensions of the trapezium inequalities through generalized relative semi-(m,h)-preinvexity ⋮ New weighted Hermite-Hadamard type inequalities for differentiable \(h\)-convex and quasi \(h\)-convex mappings ⋮ Some weighted integral inequalities for differentiable \(h\)-preinvex functions ⋮ Unnamed Item ⋮ Some new \(k\)-fractional trapezium-like integral inequalities via generalized relative semi-\((r;m,h_1,h_2)\)-preinvex mappings and applications ⋮ Certain new bounds considering the weighted Simpson-like type inequality and applications ⋮ Some new Hermite-Hadamard type inequalities via k-fractional integrals concerning differentiable generalized-m-((h_1^p,h_2^q);(η_1,η_2))-convex mappings ⋮ Unnamed Item ⋮ Hermite–Hadamard type inequalities via k-fractional integrals concerning differentiable generalized η-convex mappings ⋮ New Hermite-Hadamard inequalities concerning twice differentiable generalized \(\psi\)-convex mappings via conformable fractional integrals ⋮ Some new fractional integral inequalities for generalized relative semi-m-(r; h1, h2)-preinvex mappings via generalized Mittag-Leffler function ⋮ Fractional inequalities for exponentially generalized (m,ω,h_1,h_2)-preinvex functions with applications ⋮ Quantum Ostrowski type inequalities for pre-invex functions ⋮ Some Caputo k-fractional derivatives of Ostrowski type concerning (n+1)-differentiable generalized relative semi-(r;m,p,q,h₁,h₂)-preinvex mappings ⋮ Fractional integral identity, estimation of its bounds and some applications to trapezoidal quadrature rule ⋮ Certain error bounds on the parameterized integral inequalities in the sense of fractal sets ⋮ ON THE BULLEN-TYPE INEQUALITIES VIA GENERALIZED FRACTIONAL INTEGRALS AND THEIR APPLICATIONS
Cites Work
- On \(h\)-convexity
- Properties of \(h\)-convex functions related to the Hermite-Hadamard-Fejér inequalities
- Hadamard-type inequalities for s-convex functions
- Pre-invex functions in multiple objective optimization
- Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
- On invex sets and preinvex functions
- On some Hadamard-type inequalities for h-convex functions
- Unnamed Item
This page was built for publication: Inequalities for \(h\)-preinvex functions