New Hermite–Jensen–Mercer-type inequalities via k -fractional integrals

[摘要] In the article, we establish serval novel Hermite–Jensen–Mercer-type inequalities for convex functions in the framework of the k-fractional conformable integrals by use of our new approaches. Our obtained results are the generalizations, improvements, and extensions of some previously known results, and our ideas and methods may lead to a lot of follow-up research.

[学科分类] 航空航天科学

[关键词] Convex functions;Hermite–Hadamard inequality;Jensen inequality;Jensen–Mercer inequality;New conformable k -fractional integrals