On some inequalities for relative semi-convex functions

DOI10.1186/1029-242X-2013-332zbMath1290.26034WikidataQ59299619 ScholiaQ59299619MaRDI QIDQ2437687

Khalida Inayat Noor, Muhammad Uzair Awan, Muhammad Aslam Noor

Publication date: 13 March 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

convex setfractional integralHermite-Hadamard inequalityrelative semi-convex function

Mathematics Subject Classification ID

Variational inequalities (49J40) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (13)

Mellin transforms of generalized fractional integrals and derivatives ⋮ General variational inclusions involving difference of operators ⋮ Simpson-type inequalities for geometrically relative convex functions ⋮ Quantum Integral Inequalities for Generalized Convex Functions ⋮ Some quantum estimates for Hermite-Hadamard inequalities ⋮ Optimal controls for a class of impulsive Katugampola fractional differential equations with nonlocal conditions ⋮ Simpson-like type inequalities for relative semi-(α,m)-logarithmically convex functions ⋮ Some quantum integral inequalities via preinvex functions ⋮ Hermite-Hadamard type inequalities for differentiable \(h_\phi\)-preinvex functions ⋮ On the nonlocal Katugampola fractional integral conditions for fractional Langevin equation ⋮ Integral inequalities of Hermite–Hadamard type for logarithmically h-preinvex functions ⋮ Fractional integral inequalities for generalized convexity ⋮ Fractional Hermite-Hadamard inequalities for convex functions and applications

Cites Work

• Saddle points for vector valued functions: existence, necessary and sufficient theorems
• New approach to a generalized fractional integral
• On \(h\)-convexity
• New approximation schemes for general variational inequalities
• \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming
• Some properties of semi-\(E\)-convex functions.
• Some developments in general variational inequalities
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Three Proofs of the Inequality $e < {\left( {1 + \frac{1}{n}} \right)^{n + 0.5}}$
• Some Iterative Schemes for Solving Extended General Quasi Variational Inequalities

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