Approximation of periodic analytic functions by Fejer sums

Journal Title: Математичні Студії - Year 2017, Vol 47, Issue 2

Abstract

For upper bounds of the deviations of Fejer sums taken over classes of periodic functions that admit analytic extensions to a fixed strip of the complex plane, we obtain asymptotic equalities. In certain cases, these equalities give a solution of the corresponding Kolmogorov-Nikolsky problem.

Authors and Affiliations

O. O. Novikov, Olga Rovenska

Keywords

Related Articles

Infinite-modal approximate solutions of the Bryan-Pidduck equation

Abstract The nonlinear integro-differential Bryan-Pidduck equation for a model of rough spheres is considered. An approximate solution is constructed in the form of an infinite linear combination of some Maxwellian mode...

Homomorphisms between rings with infinitesimals and infinitesimal comparisons

We examine an argument of Reeder suggesting that the nilpotent infinitesimals in Paolo Giordano's ring extension of the real numbers ∙R are smaller than any infinitesimal hyperreal number of Abraham Robinson's nonstandar...

Fractal dimensions for inclusion hyperspaces and non-additive measures

Analogues of Hausdorff dimension, upper and lower box dimensions for the inclusion hyperspaces and non-additive regular measures (capacities) on metric compacta are introduced. Their relations to the respective dimension...

Sandwich results for higher order fractional derivative operators

In this paper we obtain some differential subordinations and superordinations related to a generalized fractional derivative operator for higher order derivatives of multivalent functions. Moreover, we derive some sandwi...

An iterative method for solving nonlinear least squares problems with nondifferentiable operator

An iterative differential-difference method for solving nonlinear least squares problems is proposed and studied. The method uses the sum of the derivative of the differentiable part of the operator and the divided diffe...

Download PDF file
  • EP ID EP310115
  • DOI 10.15330/ms.47.2.196-201
  • Views 80
  • Downloads 0

How To Cite

O. O. Novikov, Olga Rovenska (2017). Approximation of periodic analytic functions by Fejer sums. Математичні Студії, 47(2), 196-201. https://europub.co.uk/articles/-A-310115