ABOUT CLASSES OF BASIC FUNCTIONS FOR GENERALIZED TRIGONOMETRIC FUNCTIONS

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Published: Apr 20, 2022
DOI: https://doi.org/10.51582/interconf.19-20.04.2022.035
Keywords:
generalized periodic functions, generalized trigonometric functions, basic functions, divergent series, Fourier series divergent, convolution
Issue
No. 20(105) (2022): 5th ISPC «Current Issues and Prospects for The Development of Scientific Research» (April 19-20, 2022; Orléans, France).
Section
Physics and Maths
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This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Main Article Content

Volodymyr Denysiuk
National Aviation University
Natalia Tupko
National Aviation University
Olena Hryshko
National Aviation University

Abstract

This article describes some methods of constructing basic functions with certain differential properties, on which generalized trigonometric functions are given. Functions with certain differential properties are considered, and the construction of such functions through Fourier coefficients with a certain decreasing order; combinations of both methods are also possible. It is shown that the class of basic functions is wide enough to coordinate the choice of these functions for research.


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How to Cite
Denysiuk, V., Tupko, N., & Hryshko, O. (2022). ABOUT CLASSES OF BASIC FUNCTIONS FOR GENERALIZED TRIGONOMETRIC FUNCTIONS. Scientific Collection «InterConf+», (20(105), 353–362. https://doi.org/10.51582/interconf.19-20.04.2022.035
Author Biographies

Volodymyr Denysiuk, National Aviation University

Dr of Phys-math. Sciences, Professor

Natalia Tupko, National Aviation University

Ph.D., Associate Professor

Olena Hryshko, National Aviation University

Senior Lecturer

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