Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means
From MaRDI portal
Publication:980338
DOI10.1016/j.camwa.2009.08.002zbMath1189.26037OpenAlexW1975338460MaRDI QIDQ980338
Darus, Maslina, Mohammad Wajeeh Alomari, Uǧur S. Kirmaci
Publication date: 28 June 2010
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2009.08.002
Related Items (44)
Hermite-Hadamard-type inequalities via \(n\)-polynomial exponential-type convexity and their applications ⋮ New variant of Hermite-Jensen-Mercer inequalities via Riemann-Liouville fractional integral operators ⋮ Generalization of some inequalities for differentiable co-ordinated convex functions with applications ⋮ Some properties of \(\eta\)-convex stochastic processes ⋮ Weighted Ostrowski, trapezoid and midpoint type inequalities for Riemann-Liouville fractional integrals ⋮ On Generalizations of Integral Inequalities ⋮ A Hermite-Hadamard type inequality with applications to the estimation of moments of continuous random variables ⋮ Some inequalities for differentiable convex mapping with application to weighted midpoint formula and higher moments of random variables ⋮ Ostrowski type inequalities for \(m\)- and \(( \alpha,m) \)-geometrically convex functions via Riemann-Louville fractional integrals ⋮ Sharp estimation type inequalities for Lipschitzian mappings in Euclidean sense on a disk ⋮ A companion of Dragomir's generalization of the Ostrowski inequality and applications to numerical integration ⋮ Ostrowski-type inequalities pertaining to Atangana-Baleanu fractional operators and applications containing special functions ⋮ Unnamed Item ⋮ Some refinements of the Hermite-Hadamard inequality with the help of weighted integrals ⋮ Unnamed Item ⋮ New inequalities of Ostrowski type for mappings whose derivatives are \(s\)-convex in the second sense via fractional integrals ⋮ Trapezium-type inequalities for \(k\)-fractional integral via new exponential-type convexity and their applications ⋮ On Hermite--Hadamard type inequalities via generalized fractional integrals ⋮ On generalization of different type inequalities for harmonically quasi-convex functions via fractional integrals ⋮ New weighted Hermite-Hadamard type inequalities for differentiable \(h\)-convex and quasi \(h\)-convex mappings ⋮ On co-ordinated quasi-convex functions ⋮ Some weighted integral inequalities for differentiable preinvex and prequasiinvex functions with applications ⋮ Improved Hermite-Hadamard type inequalities by using the p-convexity of differentiable mappings ⋮ Some Hermite-Hadamard type inequalities for geometrically quasi-convex functions ⋮ Some inequalities for differentiable convex mapping with application to weighted trapezoidal formula and higher moments of random variables ⋮ On new inequalities of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex with applications ⋮ Ostrowski type inequalities for functions whose derivatives are \(s\)-convex in the second sense ⋮ ON INEQUALITIES RELATED TO SOME QUASI-CONVEX FUNCTIONS ⋮ Note on the Ostrowski type inequalities for fractional integrals ⋮ Fractional Ostrowski type inequalities for functions whose modulus of the first derivatives are prequasi-invex ⋮ Real‐time optimal energy management for a fuel cell/battery hybrid system ⋮ \(k\)-fractional variants of Hermite-Mercer-type inequalities via \(s\)-convexity with applications ⋮ Hermite-Hadamard type inequalities for \(F\)-convex function involving fractional integrals ⋮ New conformable fractional integral inequalities of Hermite-Hadamard type for convex functions ⋮ Fractional Ostrowski type inequalities for functions whose certain power of modulus of the first derivatives are pre-quasi-invex via power mean inequality ⋮ Hermite-Hadamard's trapezoid and mid-point type inequalities on a disk ⋮ Generalized fractional integral inequalities of Hermite-Hadamard type for \((\alpha,m)\)-convex functions ⋮ Ostrowski type inequalities for \(s\)-convex functions via \(q\)-integrals ⋮ On refinements of some integral inequalities for differentiable prequasiinvex functions ⋮ Hermite-Hadamard type inequalities for twice differantiable functions via generalized fractional integrals ⋮ On New Hermite-Hadamard-Fejér type inequalities for harmonically quasi convex functions ⋮ Hermite-Hadamard and simpson-like type inequalities for differentiable p-quasi-convex functions ⋮ Some modifications in conformable fractional integral inequalities ⋮ New weighted Hermite-Hadamard type inequalities for differentiable strongly convex and strongly quasi-convex mappings
Cites Work
- Unnamed Item
- Unnamed Item
- Two mappings in connection to Hadamard's inequalities
- A theorem on mappings with bounded derivatives with applications to quadrature rules and means.
- Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
- Some inequalities for differentiable convex and concave mappings
- Inequalities of Hadamard's type for Lipschitzian mappings and their applications
- Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
- On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula
- \(P\)-functions, quasi-convex functions, and Hadamard-type inequalities
- Inequalities for differentiable mappings with application to special means and quadrature formulæ
- Applications of Ostrowski's inequality to the estimation of error bounds for some special means and for some numerical quadrature rules
- Quasi-convex functions and Hadamard's inequality
This page was built for publication: Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means
