Some new local fractional integral inequalities

DOI10.1515/tmj-2017-0032zbMath1364.26020OpenAlexW2624529821MaRDI QIDQ2628089

Hüseyin Budak, Mehmet Zeki Sarikaya

Publication date: 12 June 2017

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/tmj-2017-0032

zbMATH Keywords

local fractional integralsCebysev inequality

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities involving other types of functions (26D07)

Cites Work

• Generalized convex functions on fractal sets and two related inequalities
• Analysis of fractal wave equations by local fractional Fourier series method
• Generalizations of Hölder's and some related integral inequalities on fractal space
• Some complements to the Jensen and Chebyshev inequalities and a problem of W. Walter
• Generalized Ostrowski type inequalities for local fractional integrals
• New Čebyšev type inequalities for double integrals
• On generalized Hermite-Hadamard inequality for generalized convex function
• A New Family of the Local Fractional PDEs
• On exact traveling-wave solutions for local fractional Korteweg-de Vries equation
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