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July 29, 2026Mathematische ZeitschriftOpen Access

Riesz logarithmic means of subsequences of partial sums of trigonometric Fourier series

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Authors

GGGyörgy GátUniversity of Debrecen

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Overview

This randomized trial shows almost everywhere convergence for integrable functions using Riesz means of Fourier series.

Key Points

  • The aim is to establish the almost everywhere convergence of Riesz logarithmic means for integrable functions using convex sequences.
  • Proving convergence of the Riesz logarithmic means instead of (C, 1) means for unbounded convex sequences.
  • Utilizing properties of Fourier series and integrable functions to establish convergence results.
  • Almost everywhere convergence of the Riesz means holds for any integrable function and any convex sequence.
  • Theorem 1.1 presents a general statement verifying this convergence.

Cite This Study

György Gát (2026) studied this question.

synapsesocial.com/papers/6a69a2c7c8da07d9defa6ab7https://doi.org/10.1007/s00209-026-04093-6
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