Generalized Ostrowski type inequalities for functions whose local fractional derivatives are generalized \(s\)-convex in the second sense

DOI10.17512/jamcm.2016.4.02zbMath1462.26023OpenAlexW2565042230MaRDI QIDQ2659380

Erhan Set, Hüseyin Budak, Mehmet Zeki Sarikaya

Publication date: 26 March 2021

Published in: Journal of Applied Mathematics and Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17512/jamcm.2016.4.02

zbMATH Keywords

generalized convex functionsgeneralized Hölder inequalitygeneralized Hermite-Hadamard inequality

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (12)

Ostrowski type inequalities via the Katugampola fractional integrals ⋮ Weighted Ostrowski, trapezoid and midpoint type inequalities for Riemann-Liouville fractional integrals ⋮ Further inequalities for the generalized k-g-fractional integrals of functions with bounded variation ⋮ PROPERTIES AND INTEGRAL INEQUALITIES ARISING FROM THE GENERALIZED n-POLYNOMIAL CONVEXITY IN THE FRAME OF FRACTAL SPACE ⋮ Some local fractional Maclaurin type inequalities for generalized convex functions and their applications ⋮ Trapezoid type inequalities for generalized Riemann-Liouville fractional integrals of functions with bounded variation ⋮ Inequalities of Jensen's type for generalized k-g-fractional integrals of function $f$ for which the composite f ○ g^-1 is convex ⋮ Some inequalities for the generalized k-g-fractional integrals of convex functions ⋮ Ostrowski and trapezoid type inequalities for Riemann-Liouville fractional integrals of absolutely continuous functions with bounded derivatives ⋮ A GENERALIZED METHOD AND ITS APPLICATIONS TO n-DIMENSIONAL FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS IN FRACTAL DOMAIN ⋮ AN IMPROVEMENT OF HÖLDER INTEGRAL INEQUALITY ON FRACTAL SETS AND SOME RELATED SIMPSON-LIKE INEQUALITIES ⋮ Estimation of the parameterized integral inequalities involving generalized \(p\)-convex mappings on fractal sets and related applications

Cites Work

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• Notions of generalized \(s\)-convex functions on fractal sets
• Some generalized inequalities involving local fractional integrals and their applications for random variables and numerical integration
• Generalized convex functions on fractal sets and two related inequalities
• Hermite-Hadamard-type inequalities for generalized \(s\)-convex functions on real linear fractal set \(\mathbb {R}^{\alpha }\) (\(0<\alpha <1\))
• Analysis of fractal wave equations by local fractional Fourier series method
• Generalizations of Hölder's and some related integral inequalities on fractal space
• ON GENERALIZED s-CONVEX FUNCTIONS ON FRACTAL SETS

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