Integral inequalities for \(s\)-convex functions via generalized conformable fractional integral operators
DOI10.1186/s13662-020-02671-4zbMath1482.26034OpenAlexW3032144612MaRDI QIDQ2078168
Muhammad Samraiz, Artion Kashuri, Wei Gao, Rozana Liko, Sajid Iqbal
Publication date: 25 February 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-02671-4
convexityHölder inequalityHermite-Hadamard inequalitypower mean inequalityconformable fractional integralgeneral fractional integral operators
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 (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some integral inequalities of Hermite-Hadamard type for convex functions with applications to means
- On conformable fractional calculus
- New approach to a generalized fractional integral
- The Hermite-Hadamard type inequality of GA-convex functions and its application
- Some remarks on \(s\)-convex functions
- Extensions of different type parameterized inequalities for generalized \((m,h)\)-preinvex mappings via \(k\)-fractional integrals
- Conformable fractional integrals versions of Hermite-Hadamard inequalities and their generalizations
- \(k\)-fractional integral trapezium-like inequalities through \((h,m)\)-convex and \((\alpha,m)\)-convex mappings
- Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
- Generalized fractional integral inequalities of Hermite-Hadamard type for \((\alpha,m)\)-convex functions
- Similarities in a fifth-order evolution equation with and with no singular kernel
- Numerical solutions of nonlinear fractional model arising in the appearance of the strip patterns in two-dimensional systems
- A new definition of fractional derivative
- Generalized Hermite-Hadamard type inequalities involving fractional integral operators
- On η-convexity
- Generalizations of Hermite--Hadamard type inequalities for MT-convex functions
- Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals
- Several complementary inequalities to inequalities of Hermite-Hadamard type for s-convex functions
- On Hermite-Hadamard type inequalities via fractional integrals of a function with respect to another function
- A study on Hermite-Hadamard type inequalities for s-convex functions via conformable fractional integrals
- Response functions in linear viscoelastic constitutive equations and related fractional operators
- Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative
- Some new hermite-hadamard type inequalities and their applications
- Some integral inequalities of Simpson type for GA-ɛ-convex functions
- Some Hermite-Hadamard type inequalities obtain via Riemann-Liouville fractional calculus
This page was built for publication: Integral inequalities for \(s\)-convex functions via generalized conformable fractional integral operators