Journal
ADVANCES IN DIFFERENCE EQUATIONS
Volume 2021, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1186/s13662-021-03226-x
Keywords
Simpson's 13 formula; Simpson's 38 formula; Integral inequalities; Quantum calculus; Preinvex functions
Categories
Funding
- Natural Science Foundation of China [61673169, 11301127, 11701176, 11626101, 11601485, 11971241]
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In this research, two generalized integral identities involving q kappa 2-quantum integrals and quantum numbers were derived to establish new quantum boundaries for quantum Simpson's and quantum Newton's inequalities for q-differentiable preinvex functions. Additionally, new and known Simpson's and Newton's type inequalities were obtained by considering the limit q -> 1- in the key results of the paper.
In this research, we derive two generalized integral identities involving the q kappa 2-quantum integrals and quantum numbers, the results are then used to establish some new quantum boundaries for quantum Simpson's and quantum Newton's inequalities for q-differentiable preinvex functions. Moreover, we obtain some new and known Simpson's and Newton's type inequalities by considering the limit q -> 1- in the key results of this paper.
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