A Bernstein type inequality for fractional logarithmic derivatives of polynomials in 𝐿0
Journal Title: Дослідження в математиці і механіці - Year 2015, Vol 20, Issue 2
Abstract
The study of integral equations with power-laws-logarithmically kernels, as well as problems related to the Fourier series of integrable functions led to fractional-logarithmic derivatives and integrals. In this paper fractional algebraic and logarithmic derivatives of trigonometric polynomials are discussed. Special attention was given to the case when power-degree multiplier in definition of fractional-logarithmic derivative is equal to 1. We establish Bernstein type inequalities for pure logarithmic derivatives of algebraic and trigonometric polynomials in space 𝐿0. A trigonometric case obtained from the algebraic case.
Authors and Affiliations
E. A. Storozhenko, L. G. Kovalenko
Keywords
Related Articles
- EP ID EP417174
- DOI -
- Views 105
- Downloads 0
COMPARISON THEOREM FOR NEUTRAL STOCHASTIC INTEGRO-DIFFERENTIAL EQUATIONS IN HILBERT SPACE
In the present paper, we will discuss a comparison result for solutions to the Cauchy problems for two stochastic differential equations with delay. On this subject number of authors have obtained their comparison result...
About the characteristic polynomial of product Frobenius’ matrix
The formula for calculating characteristic polynomials of product Frobenius’ matrix was obtained. The opportunity of using this formula by the tasks of control of nonlinear discret systems was shown.
Transverse bending of plate weakened by the cut with contacting edges
The problems of contact interaction of through cracks edges under transverse bending of isotropic plates are considered in two-dimensional statement. The crack closure phenomenon caused by bending deformation is taken in...
SUPERSINGULARITY OF ELLIPTIC AND EDWARDS CURVES OVER Fpn
We consider the algebraic curves which have form of Edwards and elliptic curves with coordinates in Fnp. These curves are most effective support for a cyclic group of points which have many applications now. In this pape...
Formula of Life: On the 80th anniversary of Academician A. M. Samoilenko
До 80-рiччя академiка НАН України А. М. Самойленка За матерiалами публiкацiї Перестюк М.О. Формула життя. До 80-рiччя академiка НАН України А.М. Самойленка / М. О. Перестюк // Вiсн. НАН України. — 2018. — № 1. — С. 95–98...