New parameterized quantum integral inequalities via \(\eta\)-quasiconvexity
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Publication:2141944
DOI10.1186/s13662-019-2358-zzbMath1487.26048OpenAlexW2977556055MaRDI QIDQ2141944
Ana M. Tameru, Eze Raymond Nwaeze
Publication date: 25 May 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-019-2358-z
(q)-calculus and related topics (05A30) 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)
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Cites Work
- Some new \(k\)-Riemann-Liouville fractional integral inequalities associated with the strongly \(\eta\)-quasiconvex functions with modulus \(\mu\geq0\)
- Different types of quantum integral inequalities via \((\alpha ,m)\)-convexity
- Some quantum estimates for Hermite-Hadamard inequalities
- Quantum calculus on finite intervals and applications to impulsive difference equations
- \((p,q) \)-Hermite-Hadamard inequalities and \((p,q) \)-estimates for midpoint type inequalities via convex and quasi-convex functions
- Integral inequalities via generalized quasiconvexity with applications
- Some new inequalities involving the Katugampola fractional integrals for strongly \(\eta \)-convex functions
- Generalized fractional integral inequalities by means of quasiconvexity
- Novel results on Hermite-Hadamard kind inequalities for \(\eta \)-convex functions by means of \((k,r)\)-fractional integral operators
- On φ-convex functions
- On η-convexity
- Inequalities of the Hermite-Hadamard type for Quasi-convex functions via the (k,s)-Riemann-Liouville fractional integrals
- On strongly generalized convex functions
- New Inequalities for η-Quasiconvex Functions
- Quantum calculus
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