Fractional Hermite-Hadamard inequality, Simpson's and Ostrowski's type inequalities for convex functions with respect to a pair of functions
DOI10.1216/rmj.2023.53.611OpenAlexW4381514696MaRDI QIDQ6115583
Thanin Sitthiwirattham, Hüseyin Budak, Michal Fečkan, Muhammad Aamir Ali, Jianqiang Xie
Publication date: 10 August 2023
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-2/FRACTIONAL-HERMITEHADAMARD-INEQUALITY-SIMPSONS-AND-OSTROWSKIS-TYPE-INEQUALITIES-FOR-CONVEX/10.1216/rmj.2023.53.611.full
fractional calculusHermite-Hadamard inequalityOstrowski's inequalitySimpson's inequality\((g, h)\)-convex functions
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)
Cites Work
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- Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals
- New inequalities of Ostrowski type for mappings whose derivatives are \(s\)-convex in the second sense via fractional integrals
- On new inequalities of Simpson's type for \(s\)-convex functions
- Hermite-Hadamard type inequalities for fractional integrals via Green's function
- Hermite-Hadamard type inequalities for conformable fractional integrals
- On Simpson's inequality and applications
- Generalized trapezoidal type integral inequalities and their applications
- Generalized fractional integral inequalities of Hermite-Hadamard type for harmonically convex functions
- Hermite-Hadamard-type inequalities for the interval-valued approximately \(h\)-convex functions via generalized fractional integrals
- New estimates considering the generalized proportional Hadamard fractional integral operators
- Hermite-Hadamard type inequalities for the generalized \(k\)-fractional integral operators
- Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
- Some Simpson's Riemann-Liouville fractional integral inequalities with applications to special functions
- Generalizations of fractional Hermite-Hadamard-Mercer like inequalities for convex functions
- On the Ostrowski's integral inequality for mappings with bounded variation and applications
- On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integrals
- Some new inequalities of Simpson’s type for s-convex functions via fractional integrals
- A Convexity Concept with Respect to a Pair of Functions
- Fractional Calculus: Integral and Differential Equations of Fractional Order
- On new inequalities for h-convex functions via Riemann-Liouville fractional integration
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