Applications of strongly convergent sequences to Fourier series by means of modulus functions

DOI10.1007/S10474-016-0655-5zbMath1399.40003OpenAlexW2508371732MaRDI QIDQ1701378

Peng Zhang

Publication date: 22 February 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0655-5

zbMATH Keywords

modulus functionstatistical convergenceparanormed space\(\Lambda^2\)-strongly convergence

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Matrix methods for summability (40C05) Sequence spaces (including Köthe sequence spaces) (46A45)

Related Items (14)

Seminormed double sequence spaces of four-dimensional matrix and Musielak-Orlicz function ⋮ Unnamed Item ⋮ Almost strongly Orlicz double sequence spaces of regular matrices and their applications to statistical convergence ⋮ Complete paranormed Orlicz Lorentz sequence spaces over \(n\)-normed spaces ⋮ On non-absolute type spaces and their Köthe-Toeplitz duals ⋮ Unnamed Item ⋮ A relation of Banach limit and difference matrix to generate some Orlicz sequence spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Difference sequence spaces based on Lucas band matrix and modulus function

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On strong convergence of trigonometric and Fourier series
• On \(\Lambda\)-strong convergence of numerical sequences and Fourier series
• Lacunary statistical convergence
• On \(\Lambda^2\)-strong convergence of numerical sequences revisited
• Double entire difference sequence spaces of fuzzy numbers
• On \(\lambda\)-statistical convergence and strongly \(\lambda\)-summable functions of order \(\alpha\)
• Statistical approximation for periodic functions of two variables
• The Integrability of Certain Functions and Related Summability Methods
• ON STATISTICAL CONVERGENCE
• THE STATISTICAL AND STRONG p-CESARO CONVERGENCE OF SEQUENCES
• On some new sequence spaces of non-absolute type related to the spaces ℓp and ℓ∞ I
• Sur la convergence statistique

This page was built for publication: Applications of strongly convergent sequences to Fourier series by means of modulus functions