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- Title
Generalized Simpson-Type Inequalities Considering First Derivatives through the k-Fractional Integrals.
- Authors
Hui Lei; Gou Hu; Jialu Nie; Tingsong Du
- Abstract
Using the k-fractional integrals, we establish several Simpson-type integral inequalities for mappings whose first derivatives belong to the Lebesgue Lq spaces. We also present certain new inequalities of Simpson-type for mappings whose first derivatives in absolute value at some powers are (s;m)- convex. The inequalities established here generalize some known results in the literature involving Riemann-Liouville fractional integrals.
- Subjects
INTEGRAL inequalities; FRACTIONAL integrals; INTEGRALS; ABSOLUTE value; MATHEMATICAL equivalence
- Publication
IAENG International Journal of Applied Mathematics, 2020, Vol 50, Issue 3, p74
- ISSN
1992-9978
- Publication type
Article