On some inequalities for generalized s-convex functions and applications on fractal sets

DOI10.22436/jnsa.010.02.22zbMath1412.26019OpenAlexW2588306168MaRDI QIDQ4631875

Wedad Saleh, Adem Kilicman

Publication date: 23 April 2019

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

Full work available at URL: https://doi.org/10.22436/jnsa.010.02.22

zbMATH Keywords

\(s\)-convex functionsfractal spacelocal fractional derivative

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving other types of functions (26D07)

Related Items (4)

Certain midpoint-type integral inequalities involving twice differentiable generalized convex mappings and applications in fractal domain ⋮ THE SIMPSON-TYPE INTEGRAL INEQUALITIES INVOLVING TWICE LOCAL FRACTIONAL DIFFERENTIABLE GENERALIZED (s,P)-CONVEXITY AND THEIR APPLICATIONS ⋮ Grüss-type inequalities by means of generalized fractional integrals ⋮ AN IMPROVEMENT OF HÖLDER INTEGRAL INEQUALITY ON FRACTAL SETS AND SOME RELATED SIMPSON-LIKE INEQUALITIES

Cites Work

• Unnamed Item
• Notions of generalized \(s\)-convex functions on fractal sets
• Inequalities of Hermite-Hadamard type involving an \(s\)-convex function with applications
• Solving partial differential equation with space- and time-fractional derivatives via homotopy decomposition method
• Local fractional similarity solution for the diffusion equation defined on Cantor sets
• On generalized some integral inequalities for local fractional integrals
• On the Hadamard's inequality for convex functions on the co-ordinates in a rectangle from the plane
• Some generalized Hermite-Hadamard type integral inequalities for generalized \(s\)-convex functions on fractal sets
• Generalized \(s\)-convex functions on fractal sets
• Inequalities for differentiable mappings with application to special means and quadrature formulæ
• Local fractional series expansion method for solving wave and diffusion equations on Cantor sets
• On some inequalities for s-convex functions and applications
• THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE
• Notions of convexity

This page was built for publication: On some inequalities for generalized s-convex functions and applications on fractal sets