JENSEN TYPE INEQUALITIES FOR Q-CLASS FUNCTIONS
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Publication:3115774
DOI10.1017/S0004972711002863zbMath1241.26019MaRDI QIDQ3115774
Mohsen Kian, Mohammad Sal Moslehian
Publication date: 10 February 2012
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
convex functionHermite-Hadamard type inequalityOstrowski type inequalityJensen type inequality\(Q\)-class function
Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Equations and inequalities involving nonlinear operators (47J99)
Related Items (7)
Operator \(P\)-class functions ⋮ Quasi-convex and Q-class functions ⋮ Inequalities for convex functions on simplexes and their cones ⋮ Unnamed Item ⋮ Functions like convex functions ⋮ Some inequalities for operator (p, h)-convex functions ⋮ How the type of convexity of the core function affects the Csiszár f-divergence functional
Cites Work
- Generalizations of Ostrowski inequality via biparametric Euler harmonic identities for measures
- On some inequalities of Hermite-Hadamard type via \(m\)-convexity
- Ostrowski type inequalities for functions whose derivatives are \(s\)-convex in the second sense
- Convex functions, partial orderings, and statistical applications
- On Jensen's inequality for a class of functions of Godunova and Levin
- Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
- Sharp inequalities of Ostrowski type for convex functions defined on linear spaces and application
- SUPERADDITIVITY OF SOME FUNCTIONALS ASSOCIATED WITH JENSEN’S INEQUALITY FOR CONVEX FUNCTIONS ON LINEAR SPACES WITH APPLICATIONS
- Reversed Hölder Type Inequalities for Monotone Functions of Several Variables
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