Ostrowski type inequalities involving conformable integrals via preinvex functions
Source abstract
Abstract
In this research article, we use preinvex functions to develop Ostrowski type inequalities for conformable integrals. First, we aim for an identity linked with the Ostrowski inequality. We obtain several results of Ostrowski type inequalities for conformal integrals by using some well-known inequalities, preinvexity, and the derived identity.
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Research context
OpenAlex topics: Mathematical Inequalities and Applications · Functional Equations Stability Results · Analytic and geometric function theory
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Affiliations
Department of Mathematics, University of Peshawar 1 , Peshawar 25000, Pakistan
Department of Mathematics, Huzhou University 2 , Huzhou 313000, China
Funding
Natural Science Foundation of China
References (46)
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1. Über die absolutabweichung einer differentierbaren funktion von ihren integralmittelwert10.1007/bf01214290 ↗
2. A companion of Ostrowski type integral inequality using a 5-step kernel with some applications10.2298/fil1613601q ↗
3. New weighted Ostrowski type inequalities for mappings with first derivatives of bounded variation
4. A new generalization of Ostrowski type inequality for mappings of bounded variation10.1134/s1995080218090238 ↗
5. On generalization of weighted Ostrowski type inequalities for functions of bounded variation10.1142/S1793557118500493 ↗
6. Improvements of the Ostrowski integral inequality for mappings of bounded variation II10.1016/j.amc.2011.11.047 ↗
7. On Ostrowski type inequalities for Stieltjes integrals with absolutely continuous integrands and integrators of bounded variation10.1016/j.camwa.2006.12.023 ↗
8. The Ostrowski integral inequality for mappings of bounded variation10.1017/s0004972700036662 ↗
9. Ostrowski type inequalities involving conformable fractional integrals10.1186/s13660-018-1664-4 ↗
10. Generalizations of Hermite-Hadamard type inequalities for MT-convex functions10.22436/jnsa.009.06.72 ↗
11. Hermite-Hadamard type inequalities obtained via fractional integral for differentiable m-convex and (α, m)-convex function10.1155/2016/4765691 ↗
12. Hermite-Hadamard type inequalities with applications10.1515/fascmath-2017-0017 ↗
13. Some new inequalities of Hermite-Hadamard type for s-convex functions with applications10.1515/math-2017-0121 ↗
14. Hermite-Hadamard inequality for fractional integrals via η-convex functions
15. Inequalities for three times differentiable functions
16. New Hermite-Hadamard type inequalities with applications
17. On a class of α-convex functions subordinate to a shell shaped region10.1007/s41478-017-0031-z ↗
18. The most important inequalities of m-convex functions10.3906/mat-1604-45 ↗
19. Characterizations of r-convex functions10.1007/s10957-009-9617-1 ↗
20. Ostrowski type inequalities for p-convex functions10.20852/ntmsci.2016318838 ↗
21. Integral inequalities involving strongly convex functions10.1155/2018/6595921 ↗
22. Majorization theorems for strongly convex functions10.1186/s13660-019-2007-9 ↗
23. Quantum Hermite-Hadamard inequality by means of a Green function10.1186/s13662-020-02559-3 ↗
24. On sufficiency of the Kuhn-Tucker conditions10.1016/0022-247x(81)90123-2 ↗
25. On invex sets and preinvex functions10.1006/jmaa.1995.1057 ↗
26. On Hadamard integral inequalities involving two log-preinvex functions
27. Hermite-Hadamard integral inequalities for log-preinvex functions
28. Mean value in invexity analysis10.1016/j.na.2004.11.005 ↗
29. A new definition of fractional derivative10.1016/j.cam.2014.01.002 ↗
30. On conformable fractional calculus10.1016/j.cam.2014.10.016 ↗
31. Lyapunov-type inequalties for mixed non-linear forced differential equations within conformable derivatives10.1186/s13660-018-1731-x ↗
32. A generalized Lyapunov-type inequality in the frame of conformable derivatives10.1186/s13662-017-1383-z ↗
33. Hermite-Hadamard type fractional integral inequalities for MT(r;g,m,φ)-preinvex functions
34. Conformable fractional integrals version of Hermite-Hadamard inequalities and their generalizations10.1155/2018/6928130 ↗
35. Inequalities for α-fractional differentiable functions10.1186/s13660-017-1371-6 ↗
36. Optimal Lehmer mean bounds for the Toader mean10.1007/s00025-010-0090-9 ↗
37. Fractional Newton mechanics with conformable fractional derivative10.1016/j.cam.2015.04.049 ↗
38. Invariant subspaces admitted by fractional differential equations with conformable derivatives10.1016/j.chaos.2018.01.002 ↗
39. Hermite-Hadamard-Fejér inequalities for conformable fractional integrals via preinvex functions10.1155/2019/3146210 ↗
40. Conformable integral inequalities of the Hermite-Hadamard type in terms of GG- and GA-convexities10.1155/2019/6926107 ↗
41. Hermite-Hadamard type inequalities pertaining conformable fractional integrals and their applications10.1063/1.5031954 ↗
42. The right Riemann-Liouville fractional Hermite-Hadamard type inequalities derived from Green’s function10.1063/1.5143908 ↗
43. Hermite-Hadamard type inequalities for fractional integrals via Green function10.1186/s13660-018-1751-6 ↗
44. Hermite-Hadamard type inequalities via the Montgomery identity
45. Some new Hermite-Hadamard type inequalities associated with conformable fractional integrals and their applications10.1155/2020/9845407 ↗
46. Taylor’s formula and integral inequalities for conformable fractional derivatives10.1007/978-3-319-31317-7_2 ↗