Abstract
In this paper, we first establish two quantum integral (q-integral) identities with the help of derivatives and integrals of the quantum types. Then, we prove some new q-midpoint and q-trapezoidal estimates for the newly established q-Hermite-Hadamard inequality (involving left and right integrals proved by Bermudo et al.) under q-differentiable convex functions. Finally, we provide some examples to illustrate the validity of newly obtained quantum inequalities.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference41 articles.
1. On degree theory for non-monotone type fractional order delay differential equations;Shah;AIMS Math.,2022
2. Ahmad, S.W., Sarwar, M., Shah, K., and Abdeljawad, T. (2022). Study of a coupled system with sub-strip and multi-valued boundary conditions via topological degree theory on an infinite domain. Symmetry, 14.
3. Computational study on the dynamics of fractional order differential equations with applications;Shah;Chaos Solitons Fractals,2022
4. On q-definite integrals;Jackson;Q. J. Pure Appl. Math.,1910
5. On q-functions and a certain difference operator;Jackson;Trans. R. Soc. Edinb.,1908
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献