Some new Gauss-Jacobi and Hermite-Hadamard type inequalities concerning $(n+1)$-differentiable generalized $((h_{1},h_{2});(\eta_{1},\eta_{2}))$-convex mappings

DOI10.5556/j.tkjm.49.2018.2772zbMath1415.26004OpenAlexW2899163979MaRDI QIDQ4619792

Rozana Liko, Artion Kashuri, Sever Silvestru Dragomir

Publication date: 7 February 2019

Published in: Tamkang Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5556/j.tkjm.49.2018.2772

zbMATH Keywords

Hölder inequalityHermite-Hadamard inequalityMinkowski inequalitypower mean inequality\(m\)-invexCaputo \(k\)-fractional derivative

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) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities involving other types of functions (26D07)

Related Items (5)

Unnamed Item ⋮ Fractional integral inequalities for generalized-\(\mathbf{m}\)-\(((h_1^p,h_2^q); (\eta_1,\eta_2))\)-convex mappings via an extended generalized Mittag-Leffler function ⋮ Some New Refinement of Gauss–Jacobi and Hermite–Hadamard Type Integral Inequalities ⋮ Hermite–Hadamard type inequalities via k-fractional integrals concerning differentiable generalized η-convex mappings ⋮ Some new bounds of Gauss-Jacobi and Hermite-Hadamard-type integral inequalities

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