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On problems of the Divergence of logarithmic means of Fourier series

Ushangi Goginava, Farrukh Mukhamedov

Abstract

The main objective of the present paper is to solve the several long standing divergence problems related to the logarithmic means of Fourier series in context of general orthonormal systems.

On problems of the Divergence of logarithmic means of Fourier series

Abstract

The main objective of the present paper is to solve the several long standing divergence problems related to the logarithmic means of Fourier series in context of general orthonormal systems.
Paper Structure (2 sections, 6 theorems, 43 equations)

This paper contains 2 sections, 6 theorems, 43 equations.

Table of Contents

  1. Introduction
  2. Proof of Main Result

Key Result

Theorem 1

The next statements hold true:

Theorems & Definitions (8)

  • Theorem 1
  • Theorem 2
  • Remark 1
  • Theorem 3
  • Theorem 4
  • Theorem 5
  • proof
  • Theorem 6