Fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated \((\log,(\alpha, m))\)-preinvex

DOI10.1007/s13370-021-00870-0zbMath1488.26100OpenAlexW3124180976MaRDI QIDQ1984194

W. Kaidouchi, S. Ghomrani, Badreddine Meftah, M. Benssaad

Publication date: 13 September 2021

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-021-00870-0

zbMATH Keywords

Hölder inequalityintegral inequalitypower mean inequalityco-ordinated \((\log,(\alpha, m))\)-preinvex functionsco-ordinated preinvex functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25)

Cites Work

• Pre-invex functions in multiple objective optimization
• On sufficiency of the Kuhn-Tucker conditions
• Convex functions, partial orderings, and statistical applications
• On the Hadamard's inequality for convex functions on the co-ordinates in a rectangle from the plane
• Invex equilibrium problems
• On some Hadamard-type inequalities for \((h_1, h_2)\)-preinvex functions on the co-ordinates
• On the Hermite–Hadamard-type inequalities for co-ordinated convex function via fractional integrals
• Invexity and generalized convexity
• What is invexity?
• Variational-like inequalities
• On properties of preinvex functions
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