Approximation by T means with respect to Vilenkin system in Lebesgue spaces and Lipschitz classes

2024/05/21 by N. Anakidze, N. Areshidze, Anakidze, N. +5
Economics, Econometrics and Finance · Mathematics · #42C10 #Advanced Harmonic Analysis Research #FOS: Mathematics #General Mathematics (math.GM) #Mathematical Approximation and Integration #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.2405.19350

openalex publication_date 2024/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we present and prove some new results concerning approximation properties of T means with respect to the Vilenkin system in Lebesgue spaces and Lipschitz classes for any 1≤ p<∞. As applications, we obtain extension of some known approximation inequalities.

Related

• Approximation by Nörlund means with respect to Vilenkin system in Lebesgue spaces
• Lebesgue and Vilenkin-Lebesgue points and a.e. Convergence of T means with respect to Vilenkin systems of integrable functions
• Maximal operators of T means with respect to the Vilenkin system
• Sharp ( H_p,L_p) type inequalities of maximal operators of T means with respect to Vilenkin systems with monotone coefficients
• Approximation by Nörlund means with respect to Walsh system in Lebesgue spaces