NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR $k$-$\beta $-CONVEX FUNCTIONS VIA GENERALIZED $k$-FRACTIONAL CONFORMABLE INTEGRAL OPERATORS
DOI10.22190/FUMI211001039LOpenAlexW4298141835MaRDI QIDQ5041902
Meftah Badreddine, Fahim Lakhal
Publication date: 18 October 2022
Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.22190/fumi211001039l
Hölder inequalityHermite-Hadamard inequalitypower mean inequality\(k\)-\(\beta\)-convex functiongeneralized \(k\)-fractional conformable integral operators
Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)
Cites Work
- Some generalized Riemann-Liouville \(k\)-fractional integral inequalities
- Certain Hermite-Hadamard type inequalities via generalized \(k\)-fractional integrals
- Advances in mathematical inequalities and applications
- General Raina fractional integral inequalities on coordinates of convex functions
- New quantum boundaries for quantum Simpson's and quantum Newton's type inequalities for preinvex functions
- 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
- Some new Simpson's type inequalities for coordinated convex functions in quantum calculus
- Some inequalities involving Hadamard‐type k‐fractional integral operators
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