Economy, finances, management: topical issues of science and practical activity

SCIENTIFIC JOURNALS OF VINNITSA NATIONAL AGRARIAN UNIVERSITY

Issue №: 8 (48)

Published: 2019.09.17

DOI: 10.37128/2411-4413-2019-8

Description:
The magazine deals with the problems of the agricultural sector of the economy in the context of integration and processes of globalization. Attention is paid to the issues of development of digital economy, rural territories, technologies of enterprise management and organization of accounting, problems of legal support of economic processes, market tendencies of development of various branches of economy. Particular attention is paid to green tourism as a promising segment of the national economy.

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THE DEVELOPMENT OF THE CONCEPT OF ELASTICITY

DOI: 10.37128/2411-4413-2019-8-5

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NAIKO Dmytro – Candidate of Physical and Mathematical Sciences, Associate

Professor,Vinnytsia National Agrarian University (21008, Vinnytsia, 3, Soniachna Str: e-mail:

dmnaiko@ukr.net ).

SHEVCHUK Olena – Candidate of Economic Sciences, Associate Professor,Vinnytsia National

Agrarian University (21008, Vinnytsia, 3, Soniachna Str: e-mail: lsd77@ukr.net).

Annotation

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.

Keywords: q-analysis, q-analog, q-derivative, q-exponent, q-elasticity, economic modeling.

List of references

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ekonomyke [Mathematical methods of decision-making in the economy]. M.: Fynstatynform (in Russian).

3. Shevchuk O. D.& D. A. Naiko. (2017). Metody matematychnoho analizu ta kontroliu riznykh etapiv

infliatsiinoho protsesu [Methods of mathematical analysis and control of various stages of the inflation process].

Suchasni informatsiini tekhnolohii ta innovatsiini metody navchannia u pidhotovtsi fakhivtsiv: metodolohiia,

teoriia, dosvid, problemy−Modern information technologies and innovative methods of training in the training of

specialists: methodology, theory, experience, problems. 49. 171 – 177 (in Ukrainian).

4. V.G. Kac& P. Cheung. (2002). Quantum Calculus. Universitext, Sprinqer-Verlag, New-York.

5. Aral Ali, Gupta Vijay & Agarwal Ravi P. (2013). Applicationsof q-Calculus in Operator Theory.

Sprinqer-Verlag, New-York.

6. George E. Andrews, Richard Askey & Ranjan Roy. (1999). Special Functions. Cambridge U.

Press, Cambridge.

7. Phillips G. M.(1997). Bernstein polynomials based on the q- integers. Ann. Numer. Math. 4.258 –264.

8. Oruc H. & Tuncer N. (2002). On the convergence and iterates of q-Bernstein polynomials . J.

Approx. Theory. 117. 301–313.

9. Ostrovska S. (2006). On the improvement of analytic properties under the limit q-Bernstein

operator. Approx. Theory. 138. 37–53.

10. Naiko D.A. (2016). Pro deiaki aproksymatsiini vlastyvosti q-parametrychnykh mnohochleniv

Bernshteina [On some approximation properties of q-Bernstein polynomials]. Zbirnyk prats In-tu

matematyky NAN Ukrainy–Proceedings of the Institute of Mathematics of the National Academy of

Sciences of Ukraine. 13(2). 214−226 (in Ukrainian).

11. Naiko D. A. (2018). Dodatni operatory klasu B ta yikhni kombinatsii: Monohrafiia [Positive

operators of B-class and their combinations: Monograph]. Vinnytsia: VNAU (in Ukrainian).

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About the journal

Topics of the journal:

С1 Economics and International Economic Relations (by specialization)

D1 Accounting and Taxation

D2 Finance, Banking, Insurance and Stock Market

D3 Management

D4 Public Management and Administration

D5 Marketing

D7 Trade

J3 Tourism and Recreation

Keywords: economics , international economic relations , accounting , taxation , finance , banking , insurance , stock market , management , public management and administration , marketing , trade , tourism and recreation

Key information:

ISSN (print): 2411-4413

DOI: 10.37128

All-Ukrainian scientific and production journal “Economics, finance, management: topical issues of science and practical activity” is a peer-reviewed open-access journal that publishes original research, theoretical articles and reviews on a wide range of economic and business issues. The articles, which have scientific and scientific-practical significance, highlight theoretical and methodological aspects of the development of agrarian sector of economy and related industries, the results of fundamental and applied research.

The purpose of the journal is to highlight the results of fundamental and applied research in the field of economic sciences, aimed at developing modern approaches to managing economic processes, financial support for enterprise activities and increasing the efficiency of economic systems. The publication is focused on creating a scientific environment for the exchange of research results between scientists, higher education students and practitioners in economic sphere, as well as on the dissemination of modern scientific and methodological approaches to solving current economic and management problems. The journal contributes to the development of the research in the field of enterprise economics, finance, accounting, auditing, management, marketing, entrepreneurship, trade, tourism and recreation, public management and administration, economic development and international economic relations, which meets the modern needs of the socio-economic development of the state.

The journal’s objectives are:

• publishing the results of fundamental and applied research in the fields of economics, international economic relations, finance, management, public administration, accounting, marketing, tourism and recreation, and entrepreneurship;

• promoting the development of modern methods of managing enterprises and organizations, increasing the efficiency of using financial and material resources;

• supporting the research aimed at improving the economic mechanisms of enterprise functioning, developing innovative activity, and increasing the competitiveness of economic structures;

• ensuring the scientific exchange of research results between higher education institutions, scientific institutions, and business entities;

• developing methods of economic analysis, forecasting, and modeling of socio-economic processes;

• disseminating of modern approaches to financial management, accounting, taxation, and control of economic activity;

• promoting the development of interdisciplinary research related to the economic support of the development of agrarian sector of economy and rural areas;

• integration of scientific research results into the international scientific space and increasing the level of scientific communication.

Publisher: Vinnytsia National Agrarian University

Link to the journal on the publisher’s website: ”Economics, finance, management: topical issues of science and practical activity”

Frequency of issue: 4 times a year.

Language of publication: Ukrainian, English.

Editor-in-Chief: Inna Honcharuk

State registration: Decision of the National Council of Ukraine on Television and Radio Broadcasting No. 1337 and No. 1178. Media identifier – R30-05171. Publisher registration number (EDRPOU) 00497236.

Publisher’s ROR: https://ror.org/05m3ysc06 Publisher’s DOI prefix: 10.37128 ISSN (print): 2411-4413

Publisher DOI prefix: 10.37128 ISSN (print): 2411-4413

The scientific journal is included in category "B" of the List of scientific professional publications of Ukraine, in which the results of dissertations for the degree of Doctor and Candidate of Sciences in the specialties C1 (051) - Economics, D1 (071) - Accounting and Taxation, D2 (072) – Finance, Banking, Insurance and Stock Market, D3 (073) – Management, D5 (075) – Marketing, D7 (076) – Entrepreneurship and Trade, (241) – Hotel and Restaurant Business, D4 (281) – Public Management and Administration (Order of the Ministry of Education and Science of Ukraine dated March 17, 2020 №409)

History of journal:

Founded in 1997 under the name ”Bulletin of Vinnytsia State Agricultural Institute”. In 2010-2014 it was published under the name “Collection of Scientific Papers of Vinnytsia National Agrarian University”. Since 2015 “Economics, finance, management: current issues of science and practical activity” (Certificate of State Registration of Mass Media No. 21154-10954 PR dated 12/31/2014).