New version of fractional Simpson type inequalities for twice differentiable functions
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Publication:2167234
DOI10.1186/s13662-021-03615-2zbMath1494.26043OpenAlexW3206624968MaRDI QIDQ2167234
Fatih Hezenci, Hüseyin Budak, Hasan Kara
Publication date: 25 August 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-021-03615-2
Fractional derivatives and integrals (26A33) 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) Fractional ordinary differential equations (34A08)
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Cites Work
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- Some Simpson type integral inequalities for functions whose third derivatives are (\(\alpha, m\))-GA-convex functions
- Some new inequalities of Simpson type for strongly \(s\)-convex functions
- Certain Hermite-Hadamard type inequalities via generalized \(k\)-fractional integrals
- On new inequalities of Simpson's type for \(s\)-convex functions
- Simpson's integral inequalities for twice differentiable convex functions
- On some new integral inequalities of Gronwall-Bellman-Bihari type with delay for discontinuous functions and their applications
- Some inequalities of Simpson type for \(h\)-convex functions via fractional integrals
- New Hermite-Hadamard type integral inequalities for convex functions and their applications
- Some new Saigo type fractional integral inequalities and their \(q\)-analogues
- A generalization of Simpson's inequality via differentiable mapping using extended \((s,m)\)-convex functions
- On Simpson's inequality and applications
- Some new Simpson-type inequalities for generalized \(p\)-convex function on fractal sets with applications
- Simpson's type integral inequalities for \(\kappa\)-fractional integrals and their applications
- Some generalized fractional integral Simpson's type inequalities with applications
- Certain Grüss type inequalities involving the generalized fractional integral operator
- Simpson type integral inequalities for generalized fractional integral
- Fractional integrals and solution of fractional kinetic equations involving \(k\)-Mittag-Leffler function
- On New Inequalities of Simpson’s Type for Functions Whose Second Derivatives Absolute Values are Convex
- Simpson and Newton type inequalities for convex functions via newly defined quantum integrals
- On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integrals
- Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable Harmonically Convex Functions
- Simpson type integral inequalities for convex functions via Riemann-Liouville integrals
- Some new inequalities of Simpson’s type for s-convex functions via fractional integrals
- SIMPSON’S TYPE INEQUALITIES VIA THE KATUGAMPOLA FRACTIONAL INTEGRALS FOR s-CONVEX FUNCTIONS
- Fractional Calculus: Integral and Differential Equations of Fractional Order
- On new inequalities of Simpson's type for generalized convex functions
- Some inequalities involving Hadamard‐type k‐fractional integral operators
- Some Simpson type inequalities for h-convex and (\alpha,m)-convex functions
- An inequality of Simpson type
- Generalized Simpson type inequalities involving Riemann-Liouville fractional integrals and their applications