Some new Hermite-Hadamard type inequalities for \(s\)-convex functions and their applications
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Publication:2067961
DOI10.1186/s13660-019-2151-2zbMath1499.26164OpenAlexW2962519699MaRDI QIDQ2067961
Publication date: 19 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-019-2151-2
convex functionHölder inequalityintegral inequalities\(s\)-convex functionspecial meanstrapezoidal formulaHermite-Hadamard-type inequalityHölder-Işcan inequality
Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Means (26E60) Inequalities involving derivatives and differential and integral operators (26D10)
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Cites Work
- Unnamed Item
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- Some inequalities of Hermite-Hadamard type for \(s\)-convex functions
- Inequalities of Hermite-Hadamard type for functions whose derivatives in absolute value are convex with applications
- Hermite-Hadamard's type inequalities for convex functions of selfadjoint operators in Hilbert spaces
- Some remarks on \(s\)-convex functions
- Integral inequalities of Hermite-Hadamard type for extended \(s\)-convex functions and applications
- New inequalities for strongly \(r\)-convex functions
- Inequalities for differentiable mappings with application to special means and quadrature formulæ
- Hermite-Hadamard-Fejér type inequalities for \(p\)-convex functions
- On generalized Hermite-Hadamard inequality for generalized convex function
- Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals
- THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE
- Hermite-Hadamard type inequalities for harmonically convex functions
- On Hermite-Hadamard type integral inequalities for n-times differentiable m- and (α,m)-logarithmically convex functions
- HERMITE-HADAMARD TYPE INEQUALITIES FOR GEOMETRIC-ARITHMETICALLY s-CONVEX FUNCTIONS
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