THE DEVELOPMENT OF THE CONCEPT OF ELASTICITY
NAIKO Dmytro – Candidate of Physical and Mathematical Sciences, Associate
Professor,Vinnytsia National Agrarian University (21008, Vinnytsia, 3, Soniachna Str: e-mail:
SHEVCHUK Olena – Candidate of Economic Sciences, Associate Professor,Vinnytsia National
Agrarian University (21008, Vinnytsia, 3, Soniachna Str: e-mail: firstname.lastname@example.org).
In addition to the methods of classical mathematical analysis, which are widely used in economic
modeling, there are methods of quantum analysis or q-analysis, which have already penetrated into many
theoretical and applied branches of mathematics. The fundamental difference between quantum analysis
and classical analysis is that in it the notion of derivative is not considered as the limit of the ratio of two
infinitely small quantities.
Changing the approach to the definition of a derivative led to another differential calculus, which
is called q-calculus.
In this paper, we show what kind of q-analogues of the most well-known mathematical facts of
classical mathematical analysis have and we partially demonstrate the method of their derivations. We
note some areas of q-analysis implementation in applied mathematics and mathematical physics.
We introduce into consideration the q-analogue of such a notion of an economic
modelingaselasticity. We study its properties and calculate the q-elasticity of some elementary functions.
We carry out a comparative analysis of the classical coefficient of elasticity with the q-coefficient of
elasticity. The concept of q-elasticity is new and not previously encountered in the scientific literature.
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