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
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