Hermite-Hadamard type fractional integral inequalities for generalized \((r; g, s, m, \varphi)\)-preinvex functions
DOI10.1515/fascmath-2017-0016zbMath1378.26008OpenAlexW2783620992MaRDI QIDQ1691460
Publication date: 16 January 2018
Published in: Fasciculi Mathematici (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/fascmath-2017-0016
Cauchy inequalityHölder inequalityRiemann-Liouville fractional integralHermite-Hadamard type inequalityMinkowski inequalitypower mean inequality\(P\)-function\(m\)-invex\(s\)-convex function in the second sense
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)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some remarks on \(s\)-convex functions
- Generalized invexity and generalized invariant monotonicity
- Mean value in invexity analysis
- Properties and integral inequalities of Hadamard- Simpson type for the generalized (s,m) -preinvex functions
- On Some Fractional Integral Inequalities of Hermite-Hadamard Type for $r$-Preinvex Functions
- Invexity and generalized convexity
- Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals
- New integral inequalities via P-convexity
- Some integral inequalities of Simpson type for GA-ɛ-convex functions
- Some inequalities of Hermite-Hadamard type for $r$-$\varphi$-preinvex functions