A note on Simpson $3/8$ rule for function whose modulus of first derivatives are $s$-convex function with application

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참고문헌 (22)

1. K. S. Miller, "An introduction to the fractional calculus and fractional dierential equations" (1993), Springer
2. M. U. D. Junjua, "A study of some new Hermite-Hadamard inequalities via specic convex functions with applications", Mathematics, 12(3), pp.478~ (2024)[DOI]
3. H. Yang, "New inequalities via Caputo-Fabrizio integral operator with applications", Aims Mathematics, 8(8), pp.19391~19412 (2023)[DOI]
4. H. Budak, "On Fejer type inequalities for convex mappings utilizing fractional integrals of a function with respect to another function", Results in Mathematics, 74, pp.1~15 (2019)[DOI]
5. S. S. Dragomir, "On Simpson's inequality and applications", Journal of Inequalities and Applications, 5, pp.533~579 (2000)
6. M. Z. Sarikaya, "On new inequalities of Simpson's type for s-convex functions", Computers and Mathematics with Applications, 60(8), pp.2191~2199 (2010)[DOI]
7. H. Budak, "On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integrals", Mathematical Methods in the Applied Sciences, 44(17), pp.12522~12536 (2021)[DOI]
8. H. Budak, "On generalized Ostrowski, Simpson and Trapezoidal type inequalities for co-ordinated convex functions via generalized fractional integrals", Advances in Dierence Equations, 2021(1), pp.1~32 (2021)[DOI]
9. J. Park, "On Simpson-like type integral inequalities for dierentiable preinvex functions", Applied Mathematical Sciences, 7(121), pp.6009~6021 (2013)[DOI]
10. F. Hezenci, "New version of fractional Simpson type inequalities for twice dierentiable functions", Advances in Dierence Equations, 2021, pp.1~10 (2021)[DOI]
11. Sitthiwirattham, T, "Riemann-Liouville fractional Newton's type inequalities for dierentiable convex functions", Fractal and fractional, 6(3), pp.175~ (2022)[DOI]
12. Gao, S, "On new inequalities of Newton's type for functions whose second derivatives absolute values are convex", Int. J. Pure Appl. Math, 74(1), pp.33~41 (2012)
13. Hezenci, F., "Some Perturbed Newton's type inequalities for Riemann-Liouville fractional integrals", Rocky mountain journal of mathematics, 53(4), pp.1117~1127 (2023)[DOI]
14. Iftikhar, S, "Newton's-type integral inequalities via local fractional integrals", Fractals, 28(03), pp.2050037~ (2020)[DOI]
15. Noor, M. A, "Newton inequalities for p-harmonic convex functions", 40(2), pp.239~250 (2018)[DOI]
16. Erden, S, "On error estimations of Simpson's second type quadrature formula", Mathematical methods in the applied sciences (2020)[DOI]
17. N. Alp, "Hermite-Hadamard inequalities and quantum estimates for midpoint type inequalities via convex and quasi-convex functions", Journal of King Saud University-Science, 30(2), pp.193~203 (2018)[DOI]
18. J. L. W. V. Jensen, "Sur les fonctions convexes et les inegalites entre les valeurs moyennes", Acta Mathematica, 30(1), pp.175~193 (1906)
19. V. G. Mihe, "A generalization of the convexity, Seminer on Functional Equations, Approximation and Convexity", ~ (1993)
20. H. Hudzik, "Some remarks on s-convex functions", Aequationes Mathematicae, 48, pp.100~111 (1994)
21. R. Goreno, "Fractional calculus: integral and dierential equations of fractional order", pp.223~276 (1997), Springer
22. M. Caputo, "A new denition of fractional derivative without singular kernel", Progress in Fractional Dierentiation and Applications, 1(2), pp.73~85 (2015)[DOI]

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