Inequalities via \(s\)-convexity and \(\log\)-convexity
DOI10.1515/taa-2017-0012zbMath1384.26048arXiv1409.1065OpenAlexW2963031091MaRDI QIDQ1709797
Ahmet Ocak Akdemir, Merve Avci Ardic, Muhamet Emin Özdemir
Publication date: 6 April 2018
Published in: Topological Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.1065
convex functionOstrowski inequalityHölder inequality\(s\)-convex functionpower-mean inequality\(\log\)-convex function
Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lipschitz (Hölder) classes (26A16) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Means (26E60)
Cites Work
- A note on integral inequalities of Hadamard type for log-convex and log-concave functions
- On new inequalities of Simpson's type for \(s\)-convex functions
- New inequalities of Hermite-Hadamard type via \(s\)-convex functions in the second sense with applications
- Some Jensen's type inequalities for log-convex functions of selfadjoint operators in Hilbert spaces
- The Hermite-Hadamard inequality for log-convex functions
- Hadamard-type inequalities for s-convex functions
- Some remarks on \(s\)-convex functions
- Hadamard's inequality for log-concave functions
- A new generalization of Ostrowski's integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means
- Inequalities for differentiable mappings with application to special means and quadrature formulæ
- A note on integral inequalities involving Two Log-Convex Functions
- THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE
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