Cover Image

On the growth of derivatives of algebraic polynomials in a weighted Lebesgue space

UDC 517.5 We study growth rates of derivatives of an arbitrary algebraic polynomial in bounded and inbounded regions of the complex plane in weighted Lebesgue spaces.

Saved in:

Bibliographic Details
Date:	2022
Main Authors:	Аbdullayev, F. G., Imashkyzy, M., Аbdullayev, Fahreddin, Imashkyzy, М.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2022
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/7052
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

On the growth of derivatives of algebraic polynomials in a weighted Lebesgue space
by: F. G. Abdullayev, et al.
Published: (2022)

On the behavior of the modulus of $m$-th derivatives of the algebraic polynomials in the whole complex plane without recurrence formula in the weighted Bergman space
by: Abdullayev, F. G., et al.
Published: (2026)

On the interference of the weight and boundary contour for algebraic polynomials in the weighted Lebesgue spaces II.
by: F.G. ABDULLAYEV,, et al.
Published: (2023)

On the interference of the weight and boundary contour for algebraic polynomials in weighted Lebesgue spaces. II
by: P. Цzkartepe, et al.
Published: (2017)

Bernstein – Nikolskii-type inequalities for algebraic polynomials in the Bergman space in regions of the complex plane
by: Аbdullayev, F. G., et al.
Published: (2021)

Interference of the weight and boundary contour for algebraic polynomials in the weighted Lebesgue spaces. I
by: Abdullayev, F. G., et al.
Published: (2016)

Bernstein-Walsh type inequalities in unbounded regions with piecewise asymptotically conformal curve in the weighted Lebesgue space
by: M. Imashkyzy, et al.
Published: (2017)

Interference of the weight and boundary contour for algebraic polynomials in the weighted Lebesgue spaces. I
by: P. Цzkartepe, et al.
Published: (2016)

On the interference of the weight and boundary contour for algebraic polynomials in weighted Lebesgue spaces. II
by: Özkartepe, P., et al.
Published: (2017)

Polynomial inequalities in quasidisks on weighted Bergman space
by: F. G. Abdullayev, et al.
Published: (2017)

Polynomial inequalities in quasidisks on weighted Bergman space
by: Abdullayev, G. A., et al.
Published: (2017)

On the relationships between the norms of operators with endpoint singularities in Lebesgue and Hölder spaces with weight
by: Karelin, O., et al.
Published: (2017)

On the relationships between the norms of operators with endpoint singularities in Lebesgue and Holder spaces with weight
by: A. A. Tarasenko, et al.
Published: (2017)

Cauchy problem for degenerate parabolic systems of Kolmogorov type in weighted Lebesgue spaces
by: V. A. Litovchenko, et al.
Published: (2014)

Linear methods for summing Fourier series and approximation in weighted Lebesgue spaces with variable exponents
by: Jafarov, S.Z.
Published: (2014)

Linear Methods for Summing Fourier Series and Approximation in Weighted Lebesgue Spaces with Variable Exponents
by: S. Z. Jafarov
Published: (2014)

Linear Methods for Summing Fourier Series and Approximation in Weighted Lebesgue Spaces with Variable Exponents
by: Jafarov, S. Z., et al.
Published: (2014)

Algebras of entire symmetric functions on spaces of Lebesgue measurable essentially bounded functions
by: T. V. Vasylyshyn
Published: (2017)

Lower bound in the Bernstein inequality for the first derivative of algebraic polynomials
by: Podvysotskaya, A. I., et al.
Published: (2009)

Exact constant in the Dzyadyk inequality for the derivative of an algebraic polynomial
by: V. D. Halan, et al.
Published: (2017)

Exact constant in the Dzyadyk inequality for the derivative of an algebraic polynomial
by: Galan, V. D., et al.
Published: (2017)

On the approximation in the mean with the Chebyshev-Hermite weight by algebraic polynomials on the real axis
by: S. B. Vakarchuk, et al.
Published: (2013)

Locally nilpotent derivations and Nagata-type utomorphisms of a polynomial algebra
by: Bodnarchuk, Yu. V., et al.
Published: (2009)

On the some properties of the orthogonal polynomials over a contour with general Jacobi weight
by: Abdullaev, F.G., et al.
Published: (2016)

On the some properties of the orthogonal polynomials over a contour with general Jacobi weight
by: F. G. Abdullaev, et al.
Published: (2016)

Solvable Lie algebras of derivations of polynomial rings in three variables
by: Chapovskyi, Ie. Yu.; Чаповський І. Є.; Київський національний університет ім. Тараса Шевченка, Київ, et al.
Published: (2018)

Polynomial Form of de Branges Conditions for the Denseness of Algebraic Polynomials in the Space $C_w^0$
by: Bakan, A. G., et al.
Published: (2005)

Algebras of symmetric * -polynomials on the space C2
by: T. V. Vasylyshyn, et al.
Published: (2018)

Solvable Lie algebras of derivations of polynomial rings in three variables
by: Ie. Yu. Chapovskyi, et al.
Published: (2018)

Vector Polynomials and a Matrix Weight Associated to Dihedral Groups
by: Dunkl, C.F.
Published: (2014)

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)

On the completeness of algebraic polynomials in the spaces $L_p (ℝ, dμ)$
by: Bakan, A. G., et al.
Published: (2009)

Vector-Valued Polynomials and a Matrix Weight Function with B₂-Action
by: Dunkl, C.F.
Published: (2013)

On the Lebesgue constants
by: Kushpel, A. K., et al.
Published: (2019)

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)

Weighted approximation in mean of classes of analytic functions by algebraic polynomials and finite-dimensional subspaces
by: Romanyuk, V. S., et al.
Published: (1999)

Supplement to the Mergelyan Theorem on the Denseness of Algebraic Polynomials in the Space $C_w^0$
by: Bakan, A. G., et al.
Published: (2005)

Approximation of functions from the Sobolev space by algebraic polynomials
by: Konovalov , V. N., et al.
Published: (1992)

Weighted Lebesgue and central Morrey estimates for $p$-adic multilinear Hausdorff operators and its commutators
by: Chuong, N. M., et al.
Published: (2021)

Weighted Lebesgue and central Morrey estimates for p-adic multilinear Hausdorff operators and its commutators
by: N. M. Chuong, et al.
Published: (2021)