Конференції Національного Авіаційного Університету, AVIATION IN THE XXI-ST CENTURY 2020

Розмір шрифту: 
Fundamental trigonometric interpolation and approximation polynomials and splines
Volodymyr Petrovych Denysiuk, Olena Vasylyvna Azarenko, Tetiana Anatolyivna Oleshko

Остання редакція: 2021-11-23

Ключові файли


Interpolation; approximation; method of least squares; fundamental functions; trigonometric splines

Посилання


[1]          Berezin I S and Zhidkov N P 1965 Computing Methods vol 1 and 2. (Oxford: PergamonPress) p 573-573

[2]          Hamming R W 1962 Numerical Methods for Scientists and Engineers (MC Grow-Hill Book  Company,  INC) p 411

[3]          Guter R S,  Kudryavtsev L D and  Levitan B M 1966 Elements of the Theory of Functions (Translation edited by I. N. Sneddon.- Pergamon)

[4]          Denysiuk V P 2015 Fundamental Functions аnd Trigonometrical Splines (Кyiv: PAT “Vypol”)

[5]          Denysiuk V  P  2018 Generalized Trigonometric Functions and Their Applications IOSR Journal of Mathematics (IOSR-JM), Volume 14, Issue 6 Ver. I (Nov - Dec 2018), pp 19-25

[6]          Natanson I P 1949 Constructive Theory of Functions (Moskva: Gosudarsnvennoe Izdatel’stvo Techniko -  Teoreticheskoi Literatury)

[7]          Kolmogorov A N and Fomin S V Elements of the Theory of Functions and Functional Analysis vol 1 and 2  (New York: Dover Publications, INC. Mineola)

[8]          Denysiuk V P About the classification of trigonometric splines  ArXiv:1910.00830

[9]          Denysiuk V P Fundamental trigonometric interpolation and approximating polynomials
and splines arXiv:1912.01918