SIMPSON’S TYPE INEQUALITIES VIA THE KATUGAMPOLA FRACTIONAL INTEGRALS FOR s-CONVEX FUNCTIONS
DOI10.46793/KGJMAT2105.709KzbMath1499.26134MaRDI QIDQ5035235
Publication date: 21 February 2022
Published in: Kragujevac Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: http://elib.mi.sanu.ac.rs/files/journals/kjm/67/4_eng.html
Hölder inequalityRiemann-Liouville fractional integralsHadamard fractional integralsSimpson-type inequalitiesKatugampola fractional integrals\(s\)-convexity
Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)
Related Items (9)
Cites Work
- Hermite-Hadamard and Hermite-Hadamard-Fejér type inequalities for generalized fractional integrals
- On new inequalities of Simpson's type for \(s\)-convex functions
- New approach to a generalized fractional integral
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- The unified treatment of trapezoid, Simpson, and Ostrowski type inequality for monotonic mappings and applications.
- Some inequalities of Simpson type for \(h\)-convex functions via fractional integrals
- On Simpson's inequality and applications
- Some new inequalities of Simpson’s type for s-convex functions via fractional integrals
- A New Approach to Generalized Fractional Derivatives
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