Some generalized Hermite-Hadamard type integral inequalities for generalized \(s\)-convex functions on fractal sets

DOI10.1186/s13662-015-0639-8zbMath1422.26010OpenAlexW2135675740WikidataQ59428891 ScholiaQ59428891MaRDI QIDQ1622722

Wedad Saleh, Adem Kilicman

Publication date: 19 November 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0639-8

zbMATH Keywords

\(s\)-convex functionsfractal spacelocal fractional derivative

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Fractals (28A80) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving other types of functions (26D07)

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Some new local fractional inequalities associated with generalized \((s,m)\)-convex functions and applications, Fejér-Hermite-Hadamard type inequalities involving generalized \(h\)-convexity on fractal sets and their applications, On new generalized unified bounds via generalized exponentially harmonically \(s\)-convex functions on fractal sets, CERTAIN INTEGRAL INEQUALITIES CONSIDERING GENERALIZED m-CONVEXITY ON FRACTAL SETS AND THEIR APPLICATIONS, On some inequalities for generalized s-convex functions and applications on fractal sets, NEW COMPUTATIONS OF OSTROWSKI-TYPE INEQUALITY PERTAINING TO FRACTAL STYLE WITH APPLICATIONS, AN IMPROVEMENT OF HÖLDER INTEGRAL INEQUALITY ON FRACTAL SETS AND SOME RELATED SIMPSON-LIKE INEQUALITIES, Certain error bounds on the parameterized integral inequalities in the sense of fractal sets

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