SIMPSON’S TYPE INEQUALITIES VIA THE KATUGAMPOLA FRACTIONAL INTEGRALS FOR s-CONVEX FUNCTIONS

DOI10.46793/KGJMAT2105.709KzbMath1499.26134MaRDI QIDQ5035235

Seth Kermausuor

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

zbMATH Keywords

Hölder inequalityRiemann-Liouville fractional integralsHadamard fractional integralsSimpson-type inequalitiesKatugampola fractional integrals\(s\)-convexity

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (9)

Bounds for the remainder in Simpson's inequality via \(n\)-polynomial convex functions of higher order using Katugampola fractional integrals ⋮ New Hermite-Hadamard type inequalities for m and (α, m)-convex functions on the coordinates via generalized fractional integrals ⋮ New version of fractional Simpson type inequalities for twice differentiable functions ⋮ A study on the new class of inequalities of midpoint-type and trapezoidal-type based on twice differentiable functions with conformable operators ⋮ SIMPSON-LIKE INEQUALITIES FOR TWICE DIFFERENTIABLE (s,P)-CONVEX MAPPINGS INVOLVING WITH AB-FRACTIONAL INTEGRALS AND THEIR APPLICATIONS ⋮ A note on fractional Simpson type inequalities for twice differentiable functions ⋮ Unnamed Item ⋮ Caputo-fabrizio fractional Hermite-Hadamard type and associated results for strongly convex functions ⋮ Generalized Ostrowski-type inequalities for s-convex functions on the coordinates via fractional integrals

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
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• 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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