Analog of the mean-value theorem for polynomials of special form
A mean value theorem for polynomials of a special form is proved. The case of a sum over vertices of a regular polygon is studied and a criterion for the equation of a special form to be satisfied is obtained.
Saved in:
| Date: | 2011 |
|---|---|
| Main Authors: | Trofymenko, O. D., Трофименко, О. Д. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2011
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2754 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Mean value theorems for polynomial solutions of linear elliptic equations with constant coefficients in the complex plane
by: O. D. Trofymenko
Published: (2020)
by: O. D. Trofymenko
Published: (2020)
Mean value theorems for polyharmonic functions
by: O. D. Trofymenko, et al.
Published: (2021)
by: O. D. Trofymenko, et al.
Published: (2021)
Analog of the John theorem for weighted spherical means on a sphere
by: Volchkov, V. V., et al.
Published: (2013)
by: Volchkov, V. V., et al.
Published: (2013)
Mean-Value Theorem
by: Trohimchuk, Yu. Yu, et al.
Published: (2013)
by: Trohimchuk, Yu. Yu, et al.
Published: (2013)
Analog of the John theorem for weighted spherical means on a sphere
by: V. V. Volchkov, et al.
Published: (2013)
by: V. V. Volchkov, et al.
Published: (2013)
Mean-Value Theorem
by: Ju. Ju. Trokhimchuk
Published: (2013)
by: Ju. Ju. Trokhimchuk
Published: (2013)
Mean value theorem
by: E. I. Radzievskaja
Published: (2014)
by: E. I. Radzievskaja
Published: (2014)
Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane
by: O. D. Trofymenko
Published: (2017)
by: O. D. Trofymenko
Published: (2017)
Convolution equations and mean value theorems for solutions of linear elliptic equations with constant coefficients in the complex plane
by: Trofymenko, O.D.
Published: (2017)
by: Trofymenko, O.D.
Published: (2017)
A noncommutattve analog of the cohen theorem
by: Zabavskii, B. V., et al.
Published: (1996)
by: Zabavskii, B. V., et al.
Published: (1996)
On the mean-value theorem for analytic functions
by: Savchuk, V. V., et al.
Published: (1997)
by: Savchuk, V. V., et al.
Published: (1997)
On an operator analog of the cosine addition theorem
by: Yu. S. Linchuk
Published: (2014)
by: Yu. S. Linchuk
Published: (2014)
A generalized theorem on mean values of an analytic function and an algorithm for the evaluation of mean values
by: A. M. Samoilenko
Published: (2017)
by: A. M. Samoilenko
Published: (2017)
A generalized theorem of mean values of an analytic function and an algorism of the determination of mean values
by: Samoilenko, A. M., et al.
Published: (2017)
by: Samoilenko, A. M., et al.
Published: (2017)
On a quasilinear analog of Gidas-Spruck theorem
by: Muravnik, A.
Published: (2004)
by: Muravnik, A.
Published: (2004)
A Stochastic Analog of Bogolyubov's Second Theorem
by: Bondarev, B. V., et al.
Published: (2005)
by: Bondarev, B. V., et al.
Published: (2005)
d-Orthogonal Analogs of Classical Orthogonal Polynomials
by: Horozov, E.
Published: (2018)
by: Horozov, E.
Published: (2018)
Construction of analogs of the Lyapunov equation for a matrix polynomial
by: Mazko, A. G., et al.
Published: (1995)
by: Mazko, A. G., et al.
Published: (1995)
Analog of the Montel Theorem for Mappings of the Sobolev Class with Finite Distortion
by: Sevost'yanov, E. A., et al.
Published: (2015)
by: Sevost'yanov, E. A., et al.
Published: (2015)
Removal of singularities and analogs of the Sokhotskii–Weierstrass theorem for Q-mappings
by: Sevost'yanov, E. A., et al.
Published: (2009)
by: Sevost'yanov, E. A., et al.
Published: (2009)
An analog of the rolle theorem for differential operators and $L$-spline interpolation
by: Novikov, S. I., et al.
Published: (1993)
by: Novikov, S. I., et al.
Published: (1993)
Approximation of functions regular in convex polyhedrons by exponential polynomials of a special form
by: Melnik , Yu. I., et al.
Published: (1992)
by: Melnik , Yu. I., et al.
Published: (1992)
An analog of the Schwartz theorem on spectral analysis on a hyperbolic plane
by: V. V. Volchkov, et al.
Published: (2015)
by: V. V. Volchkov, et al.
Published: (2015)
Analog of the Montel Theorem for Mappings of the Sobolev Class with Finite Distortion
by: E. A. Sevostjanov
Published: (2015)
by: E. A. Sevostjanov
Published: (2015)
Analogs of the Ikoma?Schwartz lemma and Liouville theorem for mappings with unbounded characteristic
by: Salimov, R. R., et al.
Published: (2011)
by: Salimov, R. R., et al.
Published: (2011)
A multidimensional generalization of an oval theorem for a periodic chain fraction of a special form
by: D. I. Bodnar, et al.
Published: (2014)
by: D. I. Bodnar, et al.
Published: (2014)
Matrix infinite-dimensional analog of the Wiener theorem on local inversion of Fourier transforms
by: Degtyar', S. V., et al.
Published: (1995)
by: Degtyar', S. V., et al.
Published: (1995)
Аналог теореми про середнє для многочленів спеціального виду
by: Трофименко, О.Д.
Published: (2011)
by: Трофименко, О.Д.
Published: (2011)
Деякі інтегральні рівності для певних класів поліномів
by: Трофименко, О.Д.
Published: (2009)
by: Трофименко, О.Д.
Published: (2009)
Теорема о среднем для полианалитических функций
by: Трофименко, О.Д.
Published: (2008)
by: Трофименко, О.Д.
Published: (2008)
Теорема єдиності для розв'язків деяких рівнянь середніх значень
by: Трофименко, О.Д.
Published: (2012)
by: Трофименко, О.Д.
Published: (2012)
Analogs of Fricke's theorems for analytic vector-valued functions in the unit ball havin bounded L-index in joint variables
by: V. P. Baksa, et al.
Published: (2019)
by: V. P. Baksa, et al.
Published: (2019)
On finite convolutions of singular distributions and a “singular analog” of the Jessen-Wintner theorem
by: Pratsiovytyi, M. V., et al.
Published: (1998)
by: Pratsiovytyi, M. V., et al.
Published: (1998)
On the Best Approximation in the Mean by Algebraic Polynomials with Weight and the Exact Values of Widths for the Classes of Functions
by: S. B. Vakarchuk, et al.
Published: (2013)
by: S. B. Vakarchuk, et al.
Published: (2013)
On the Best Approximation in the Mean by Algebraic Polynomials with Weight and the Exact Values of Widths for the Classes of Functions
by: Vakarchuk, S. B., et al.
Published: (2013)
by: Vakarchuk, S. B., et al.
Published: (2013)
On a special polynomial basis of analytical functions’ space
by: Gorgula, V. I., et al.
Published: (1987)
by: Gorgula, V. I., et al.
Published: (1987)
Central limit theorem for special classes of functions of ergodic chains
by: Moskal'tsova, N. V., et al.
Published: (1994)
by: Moskal'tsova, N. V., et al.
Published: (1994)
Limited theorem for random functions, plotted according to quadratic forms from Gaussian random values
by: Ryzhov , Yu. M., et al.
Published: (1988)
by: Ryzhov , Yu. M., et al.
Published: (1988)
An analog of the Men’shov – Trokhimchuk theorem for monogenic functions in a three-dimensional commutative algebra
by: Tkachuk, M. V., et al.
Published: (2021)
by: Tkachuk, M. V., et al.
Published: (2021)
Analog of Hayman's Theorem and its Application to Some System of Linear Partial Differential Equations
by: A. Bandura, et al.
Published: (2019)
by: A. Bandura, et al.
Published: (2019)
Similar Items
-
Mean value theorems for polynomial solutions of linear elliptic equations with constant coefficients in the complex plane
by: O. D. Trofymenko
Published: (2020) -
Mean value theorems for polyharmonic functions
by: O. D. Trofymenko, et al.
Published: (2021) -
Analog of the John theorem for weighted spherical means on a sphere
by: Volchkov, V. V., et al.
Published: (2013) -
Mean-Value Theorem
by: Trohimchuk, Yu. Yu, et al.
Published: (2013) -
Analog of the John theorem for weighted spherical means on a sphere
by: V. V. Volchkov, et al.
Published: (2013)