Schrödinger principal-component analysis: On the duality between principal-component analysis and the Schrödinger equation
Principal component analysis (PCA) has been applied to analyze random fields in various
scientific disciplines. However, the explainability of PCA remains elusive unless strong …
scientific disciplines. However, the explainability of PCA remains elusive unless strong …
Differential calculus for linear operators represented by finite signed measures and applications
JA Adell - Acta Mathematica Hungarica, 2013 - Springer
We introduce a differential calculus for linear operators represented by a family of finite
signed measures. Such a calculus is based on the notions of g-derived operators and …
signed measures. Such a calculus is based on the notions of g-derived operators and …
The exact order of approximation to periodic functions by Bernstein-Stechkin polynomials
RM Trigub - Sbornik: Mathematics, 2013 - iopscience.iop.org
The paper concerns the approximation properties of the Bernstein-Stechkin summability
method for trigonometric Fourier series. The Jackson-Stechkin theorem is refined. Moreover …
method for trigonometric Fourier series. The Jackson-Stechkin theorem is refined. Moreover …
[PDF][PDF] О разных модулях гладкости и -функционалах
RM Trigub - Ukrains' kyi Matematychnyi Zhurnal, 2020 - umj.imath.kiev.ua
Модуль непрерывности ω= ω1 использовал Лебег. При r≥ 2 модуль гладкости ввел СН
Бернштейн (1912 г.), а основные его свойства изучил Маршо (1927 г.). Известно …
Бернштейн (1912 г.), а основные его свойства изучил Маршо (1927 г.). Известно …
Exact order of approximation of periodic functions by one nonclassical method of summation of Fourier series.
O Kotova, R Trigub - Ukrainian Mathematical Journal, 2012 - search.ebscohost.com
By using an exact estimate for approximation by known trigonometric polynomials, we
strengthen a Jackson-type theorem. Moreover, we determine the exact order of …
strengthen a Jackson-type theorem. Moreover, we determine the exact order of …
Точный порядок приближения периодических функций полиномами Бернштейна–Стечкина
РМ Тригуб - Математический сборник, 2013 - mathnet.ru
Изучены аппроксимативные свойства метода Бернштейна–Стечкина суммирования
тригонометрических рядов Фурье. Получено усиление теоремы Джексона–Стечкина …
тригонометрических рядов Фурье. Получено усиление теоремы Джексона–Стечкина …
On the nonclassical approximation method for periodic functions by trigonometric polynomials
YS Kolomoitsev, RM Trigub - Journal of Mathematical Sciences, 2013 - Springer
We study the approximation of functions by linear polynomial means of their Fourier series
with a function-multiplier φ that is equal to 1 not only at zero, in contrast with classical …
with a function-multiplier φ that is equal to 1 not only at zero, in contrast with classical …
Approximative properties of the summation methods of Fourier integrals
OV Kotova, RM Trigub - Journal of Mathematical Sciences, 2015 - Springer
We study the order (velocity) of the approximation of functions on the axis by entire functions
of exponential type not higher than σ as σ→∞(the linear and best approximations). The …
of exponential type not higher than σ as σ→∞(the linear and best approximations). The …
On generalized K-functionals in for
Y Kolomoitsev, T Lomako - Fractional Calculus and Applied Analysis, 2023 - Springer
We show that the Peetre K-functional between the space L p with 0< p< 1 and the
corresponding smooth function space W p ψ generated by the Weyl-type differential …
corresponding smooth function space W p ψ generated by the Weyl-type differential …
On Various Moduli of Smoothness and K-Functionals.
RM Trigub - Ukrainian Mathematical Journal, 2020 - search.ebscohost.com
ON VARIOUS MODULI OF SMOOTHNESS AND K-FUNCTIONALS Page 1 Ukrainian
Mathematical Journal, Vol. 72, No. 7, December, 2020 (Ukrainian Original Vol. 72, No. 7, July …
Mathematical Journal, Vol. 72, No. 7, December, 2020 (Ukrainian Original Vol. 72, No. 7, July …