Revisiting the Hermite-Hadamard fractional integral inequality via a Green function
DOI10.3934/math.2020391zbMath1484.26067OpenAlexW3045554269MaRDI QIDQ2132172
Yu-Ming Chu, Arshad Iqbal, Muhammad Adil Khan, Noor Mohammad, Eze Raymond Nwaeze
Publication date: 27 April 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2020391
convex functionGreen functionconcave functionRiemann-Liouville fractional integralHermite-Hadamard inequality
Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)
Related Items (20)
Cites Work
- Unnamed Item
- A Berry-Esseen type bound for the kernel density estimator based on a weakly dependent and randomly left truncated data
- New half-discrete Hilbert inequalities for three variables
- Hermite-Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications
- New Hermite-Hadamard type inequalities for \(n\)-polynomial harmonically convex functions
- Generation of new fractional inequalities via \(n\) polynomials \(s\)-type convexity with applications
- New estimates considering the generalized proportional Hadamard fractional integral operators
- A sharp double inequality involving generalized complete elliptic integral of the first kind
- \(2D\) approximately reciprocal \(\rho\)-convex functions and associated integral inequalities
- Refinements of Jensen's and McShane's inequalities with applications
- Conformable fractional integral inequalities for \(GG\)- and \(GA\)-convex functions
- New weighted generalizations for differentiable exponentially convex mapping with application
- Ostrowski type inequalities in the sense of generalized \(\mathcal{K}\)-fractional integral operator for exponentially convex functions
- Sharp power mean inequalities for the generalized elliptic integral of the first kind
- New modified conformable fractional integral inequalities of Hermite-Hadamard type with applications
- Some identities of extended degenerate \(r\)-central Bell polynomials arising from umbral calculus
- Petrović-type inequalities for harmonic \(h\)-convex functions
- Some new Hermite-Hadamard-type inequalities associated with conformable fractional integrals and their applications
- Precise bounds for the weighted Hölder mean of the complete \(p\)-elliptic integrals
- Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
- Answers to three conjectures on convexity of three functions involving complete elliptic integrals of the first kind
- Notes on the complete elliptic integral of the first kind
- Inequalities for generalized trigonometric and hyperbolic functions with one parameter
- Converses of the Jensen inequality derived from the Green functions with applications in information theory
- Bounding the convex combination of arithmetic and integral means in terms of one-parameter harmonic and geometric means
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