By Agnieszka B. Malinowska,Delfim F.M. Torres
This short places jointly subjects, quantum and variational calculi by way of contemplating variational difficulties concerning Hahn quantum operators. the most benefit of its effects is they may be able to care for nondifferentiable (even discontinuous) services, that are vital in applications.
Possible functions in economics are mentioned. Economists version time as non-stop or discrete. even supposing person monetary judgements are typically made at discrete time periods, they could good be lower than completely synchronized in methods discrete types postulate. however, the standard assumption that financial task happens continually, is not anything else than a handy abstraction that during many purposes is much from truth. The Hahn quantum calculus is helping to bridge the space among the 2 households of types: non-stop and discrete.
Quantum Variational Calculus is self-contained and unified in presentation. It offers a chance for an creation to the quantum calculus of diversifications for skilled researchers yet can be used as a sophisticated textbook by means of graduate scholars or even formidable undergraduates besides. the reasons within the publication are precise to catch the curiosity of the curious reader, and whole to supply the required history fabric had to pass additional into the topic and discover the wealthy learn literature, motivating additional learn task within the area.
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This short places jointly subjects, quantum and variational calculi through contemplating variational difficulties related to Hahn quantum operators. the most good thing about its effects is they may be able to take care of nondifferentiable (even discontinuous) services, that are very important in purposes. attainable purposes in economics are mentioned.
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