Functions preserving slowly oscillating double sequences

2013/12/25 by Hüseyi̇n Çakallı, Cakalli, Huseyin, Richard F. Patterson +1 · 2 citations
Mathematics · #Approximation Theory and Sequence Spaces #Mathematical Approximation and Integration #Advanced Harmonic Analysis Research

paper · pdf · doi:10.48550/arxiv.1312.7341

Abstract

A double sequence x=\x_k,l\ of points in R is slowly oscillating if for any given ε>0, there exist α=α(ε)>0, δ=δ(ε) >0, and N=N(ε) such that |x_k,l-x_s,t|

Citations

• Theorems Relating to the Summability and Convergence of Slowly Oscillating Series

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• A study on downward half Cauchy sequences
• On Variations of statistical ward continuity

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