Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables

Advances in Difference Equations

article

Ali, Muhammad Aamir¹  Chu, Yu-Ming²  Budak, Hüseyin³  Akkurt, Abdullah⁴  Yıldırım, Hüseyin⁴  Zahid, Manzoor Ahmed⁵ 

[1] Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University;Department of Mathematics, Huzhou University;Department of Mathematics, Faculty of Science and Arts, Düzce University;Department of Mathematics, Faculty of Science and Arts, University of Kahramanmaraş Sütçü İmam;Department of Mathematics, COMSATS University Islamabad Sahiwal Campus

关键词: Ostrowski inequality;    \(q_{1}q_{2}\) -integral;    Quantum calculus;    Coordinated convex function;   

DOI  :  10.1186/s13662-020-03195-7

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this investigation, we demonstrate the quantum version of Montgomery identity for the functions of two variables. Then we use the result to derive some new Ostrowski-type inequalities for the functions of two variables via quantum integrals. We also consider the particular cases of the key results and offer some new integral inequalities.

【 授权许可】

CC BY