Some new integral inequalities for n-times differentiable convex and concave functions

DOI10.22436/jnsa.010.12.01zbMath1412.26021OpenAlexW2771629192MaRDI QIDQ5743328

Huriye Kadakal, İmdat İşcan, Selahattin Maden, Mahir Kadakal

Publication date: 9 May 2019

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

Full work available at URL: https://doi.org/10.22436/jnsa.010.12.01

zbMATH Keywords

convex functionconcave functionHölder integral inequalitypower-mean integral inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (8)

On \(n\)-polynomial convexity and some related inequalities ⋮ On refinements of some integral inequalities using improved power‐mean integral inequalities ⋮ Geometric trigonometrically convexity and better approximations ⋮ New inequalities for strongly \(r\)-convex functions ⋮ Exponential trigonometric convex functions and Hermite-Hadamard type inequalities ⋮ Unnamed Item ⋮ Exponential type convexity and some related inequalities ⋮ On two times differentiable preinvex and prequasiinvex functions

Cites Work

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• Some Hermite-Hadamard type inequalities for \(n\)-time differentiable \(({\alpha},m)\)-convex functions
• Some integral inequalities of Hermite-Hadamard type for convex functions with applications to means
• Hermite-Hadamard-Fejér type inequalities for quasi-geometrically convex functions via fractional integrals
• Hadamard-type inequalities for s-convex functions
• Convex functions, partial orderings, and statistical applications
• Generalized Hermite-Hadamard-Fejer type inequalities for GA-convex functions via fractional integral
• A NEW GENERALIZATION OF THE TRAPEZOID FORMULA FOR n-TIME DIFFERENTIABLE MAPPINGS AND APPLICATIONS
• New inequalities of the Hermite-Hadamard type for n-time differentiable functions which are quasiconvex
• Generalizations of Hermite–Hadamard inequality ton-time differentiable functions which ares-convex in the second sense
• Some new inequalities of Hermite–Hadamard type forn-time differentiable functions which arem-convex
• SOME OSTROWSKI TYPE INEQUALITIES FOR π-ΤΙΜΕ DIFFERENTIABLE MAPPINGS AND APPLICATIONS
• New inequalities for Hermite-Hadamard and Simpson type with applications
• Hermite-Hadamard type inequalities for harmonically convex functions
• Hermite-Hadamard-Fejér Type Inequalities for Harmonically Quasi-convex Functions via Fractional Integrals

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