General Raina fractional integral inequalities on coordinates of convex functions

Advances in Difference Equations

article

Baleanu, Dumitru¹  Kashuri, Artion⁴  Mohammed, Pshtiwan Othman⁵  Meftah, Badreddine⁶ 

[1] Institute of Space Sciences;Department of Mathematics, Çankaya University;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics, Faculty of Technical Science, University Ismail Qemali;Department of Mathematics, College of Education, University of Sulaimani;Laboratoire des télécommunications, Faculté des Sciences et de la Technologie, University of 8 May 1945 Guelma

关键词: Hermite–Hadamard inequality;    Raina fractional integral operators;    Coordinated convex function;   

DOI  :  10.1186/s13662-021-03241-y

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

Integral inequality is an interesting mathematical model due to its wide and significant applications in mathematical analysis and fractional calculus. In this study, authors have established some generalized Raina fractional integral inequalities using an$(l_{1},h_{1})$ - $(l_{2},h_{2})$ -convex function on coordinates. Also, we obtain an integral identity for partial differentiable functions. As an effect of this result, two interesting integral inequalities for the$(l_{1},h_{1})$ - $(l_{2},h_{2})$ -convex function on coordinates are given. Finally, we can say that our findings recapture some recent results as special cases.

【 授权许可】

CC BY