Generalizations of fractional Hermite-Hadamard-Mercer like inequalities for convex functions
DOI10.3934/math.2021546OpenAlexW3173191086MaRDI QIDQ2671011
Miguel Vivas-Cortez, Muhammad Aamir Ali, Artion Kashuri, Hüseyin Budak
Publication date: 3 June 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2021546
convex functionsHölder inequalityfractional integralsHermite-Hadamard inequalityJensen-Mercer inequalityHermite-Hadamard-Mercer inequality
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)
Cites Work
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- On conformable fractional calculus
- Sharp integral inequalities of the Hermite-Hadamard type
- A variant of Jensen's inequality of Mercer's type for operators with applications
- Jensen inequalities for functions with higher monotonicities
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
- Fractional operators with exponential kernels and a Lyapunov type inequality
- Hermite-Hadamard type inequalities for conformable fractional integrals
- 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 a convex function
- On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions
- Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus
- Modification of certain fractional integral inequalities for convex functions
- Hermite-Hadamard type inequalities for \(F\)-convex function involving fractional integrals
- Generalized fractional integral inequalities of Hermite-Hadamard type for \((\alpha,m)\)-convex functions
- New quantum boundaries for quantum Simpson's and quantum Newton's type inequalities for preinvex functions
- Some new quantum Hermite-Hadamard-like inequalities for coordinated convex functions
- On generalized fractional integral inequalities for twice differentiable convex functions
- Hermite-Hadamard, Hermite-Hadamard-Fejér, Dragomir-Agarwal and Pachpatte type inequalities for convex functions via new fractional integrals
- Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
- Quantum Hermite-Hadamard-type inequalities for functions with convex absolute values of second \(q^b\)-derivatives
- Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables
- Convexity results and sharp error estimates in approximate multivariate integration
- Simpson and Newton type inequalities for convex functions via newly defined quantum integrals
- Some new Simpson's type inequalities for coordinated convex functions in quantum calculus
- Simpson's and Newton's type quantum integral inequalities for preinvex functions
- Hermite‐Hadamard inequalities in fractional calculus defined using Mittag‐Leffler kernels
- Sharp Error Estimates for Interpolatory Approximation on Convex Polytopes
- Refinements of the operator Jensen-Mercer inequality
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