Some new inequalities of Simpson’s type for s-convex functions via fractional integrals

DOI10.2298/FIL1715989CzbMath1499.26107OpenAlexW2600214788MaRDI QIDQ5020937

Xianjiu Huang, Jian-Hua Chen

Publication date: 7 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1715989c

zbMATH Keywords

fractional integrals\(s\)-convex functionsSimpson-type inequality

Mathematics Subject Classification ID

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

Related Items (18)

SIMPSON’S TYPE INEQUALITIES VIA THE KATUGAMPOLA FRACTIONAL INTEGRALS FOR s-CONVEX FUNCTIONS ⋮ Estimates of bounds on the weighted Simpson type inequality and their applications ⋮ Some parameterized Simpson-, midpoint- and trapezoid-type inequalities for generalized fractional integrals ⋮ On generalized Ostrowski, Simpson and trapezoidal type inequalities for co-ordinated convex functions via generalized fractional integrals ⋮ New version of fractional Simpson type inequalities for twice differentiable functions ⋮ Some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals ⋮ Hermite-Hadamard type inequalities based on the Erdélyi-Kober fractional integrals ⋮ On new Milne-type inequalities for fractional integrals ⋮ Some new parameterized Newton-type inequalities for differentiable functions via fractional integrals ⋮ Fractional Hermite-Hadamard inequality, Simpson's and Ostrowski's type inequalities for convex functions with respect to a pair of functions ⋮ A new version of Newton's inequalities for Riemann-Liouville fractional integrals ⋮ 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 ⋮ On fractional biparameterized Newton-type inequalities ⋮ Unnamed Item ⋮ Certain new bounds considering the weighted Simpson-like type inequality and applications ⋮ Some new generalized fractional Newton's type inequalities for convex functions ⋮ Simpson type integral inequalities for generalized fractional integral

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