On new inequalities of Simpson's type for \(s\)-convex functions
From MaRDI portal
Publication:623153
DOI10.1016/j.camwa.2010.07.033zbMath1205.65132OpenAlexW2155067458MaRDI QIDQ623153
Muhamet Emin Özdemir, Mehmet Zeki Sarikaya, Erhan Set
Publication date: 13 February 2011
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2010.07.033
Related Items
SIMPSON’S TYPE INEQUALITIES VIA THE KATUGAMPOLA FRACTIONAL INTEGRALS FOR s-CONVEX FUNCTIONS ⋮ Some Simpson type integral inequalities for functions whose third derivatives are (\(\alpha, m\))-GA-convex functions ⋮ Some new Simpson-type inequalities for generalized \(p\)-convex function on fractal sets with applications ⋮ New Simpson type integral inequalities for \(s\)-convex functions and their applications ⋮ Simpson's type integral inequalities for \(\kappa\)-fractional integrals and their applications ⋮ Estimates of bounds on the weighted Simpson type inequality and their applications ⋮ On new general integral inequalities for \(s\)-convex functions ⋮ Inequalities of Hermite-Hadamard type involving an \(s\)-convex function with applications ⋮ New quantum boundaries for quantum Simpson's and quantum Newton's type inequalities for preinvex functions ⋮ Integral inequalities of Hermite-Hadamard type for extended \(s\)-convex functions and applications ⋮ On Generalizations of Integral Inequalities ⋮ On generalizations of quantum Simpson's and quantum Newton's inequalities with some parameters ⋮ Hermite-Hadamard-type integral inequalities for functions whose first derivatives are convex ⋮ Some parameterized Simpson-, midpoint- and trapezoid-type inequalities for generalized fractional integrals ⋮ On fractional Simpson type integral inequalities for co-ordinated convex functions ⋮ Simpson type conformable fractional inequalities ⋮ On generalized Ostrowski, Simpson and trapezoidal type inequalities for co-ordinated convex functions via generalized fractional integrals ⋮ New version of fractional Simpson type inequalities for twice differentiable functions ⋮ New inequalities of Simpson's type for differentiable functions via generalized convex function ⋮ Some inequalities of Simpson type for \(h\)-convex functions via fractional integrals ⋮ Some Simpson's Riemann-Liouville fractional integral inequalities with applications to special functions ⋮ On Simpson type inequalities for generalized strongly preinvex functions via \((p,q)\)-calculus and applications ⋮ On some new inequalities of Hermite-Hadamard type for functions whose derivatives are \(s\)-convex in the second sense in the absolute value ⋮ Simpson-type inequalities for geometrically relative convex functions ⋮ A refinement of the Bergström inequality ⋮ On new Milne-type inequalities for fractional integrals ⋮ Some new parameterized Newton-type inequalities for differentiable functions via fractional integrals ⋮ An extensive study on parameterized inequalities for conformable fractional integrals ⋮ A new generalization of some integral inequalities for (\(\alpha, m\))-convex functions ⋮ Weighted Simpson-like type inequalities for quasi-convex functions ⋮ On new inequalities of Simpson's type for \(s\)-convex functions ⋮ On the generalization of some integral inequalities and their applications ⋮ SOME BULLEN-TYPE INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRALS ⋮ Fractional Hermite-Hadamard inequality, Simpson's and Ostrowski's type inequalities for convex functions with respect to a pair of functions ⋮ Generalizations of the Simpson-like type inequalities for co-ordinated \(s\)-convex mappings in the second sense ⋮ The sharper version for generalized power mean inequalities with negative exponent ⋮ A new version of Newton's inequalities for Riemann-Liouville fractional integrals ⋮ NEWTON’S-TYPE INTEGRAL INEQUALITIES VIA LOCAL FRACTIONAL INTEGRALS ⋮ A note on fractional Simpson type inequalities for twice differentiable functions ⋮ Fractional Simpson like type inequalities for differentiable \(s\)-convex functions ⋮ On fractional biparameterized Newton-type inequalities ⋮ Generalization of some Simpson-like type inequalities via differentiable \(s\)-convex mappings in the second sense ⋮ On some inequalities for s-convex functions and applications ⋮ Some integral inequalities of Hermite-Hadamard type for convex functions with applications to means ⋮ Inequalities via \(s\)-convexity and \(\log\)-convexity ⋮ Unnamed Item ⋮ New inequalities of Ostrowski type for mappings whose derivatives are \(s\)-convex in the second sense via fractional integrals ⋮ Unnamed Item ⋮ Some new bounds for Simpson's rule involving special functions via harmonic h-convexity ⋮ Simpson-like type inequalities for relative semi-(α,m)-logarithmically convex functions ⋮ Some new inequalities of Simpson type for strongly \(s\)-convex functions ⋮ Some inequalities for the \(s\)-Godunova-Levin type functions ⋮ Some new generalized integral inequalities for GA-\(s\)-convex functions via Hadamard fractional integrals ⋮ New general integral inequalities for quasi-geometrically convex functions via fractional integrals ⋮ The sharper form of a Brunn-Minkowski type inequality for boxes ⋮ Some Hadamard-like inequalities via convex and \(s\)-convex functions and their applications for special means ⋮ Some Newton's like inequalities with applications ⋮ Weighted Simpson type inequalities for h-convex functions ⋮ Certain new bounds considering the weighted Simpson-like type inequality and applications ⋮ Simpson type inequalities and applications ⋮ Local fractional Newton's inequalities involving generalized harmonic convex functions ⋮ New fractional estimates of Simpson-Mercer type for twice differentiable mappings pertaining to Mittag-Leffler kernel ⋮ Some new generalized fractional Newton's type inequalities for convex functions ⋮ Simpson type integral inequalities for generalized fractional integral ⋮ On some new generalized fractional inequalities for twice differentiable functions ⋮ Unnamed Item ⋮ Simpson type integral inequalities for convex functions via Riemann-Liouville integrals ⋮ Some new inequalities of Simpson’s type for s-convex functions via fractional integrals ⋮ Ostrowski and Simpson type inequalities for multiplicative integrals ⋮ Some Simpson type fractional integral inequalities for functions of bounded variation
Cites Work
- On new inequalities of Simpson's type for \(s\)-convex functions
- Some remarks on \(s\)-convex functions
- Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
- On Simpson's inequality and applications
- THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE
- An inequality of Simpson type
- Unnamed Item
- Unnamed Item
