Some inequalities for Cesàro means of double Vilenkin–Fourier series

Abstract

Abstract In this paper, we state and prove some new inequalities related to the rate of Lp $L^{p}$ approximation by Cesàro means of the quadratic partial sums of double Vilenkin–Fourier series of functions from Lp $L^{p}$.

Keywords

• Inequalities
• Approximation
• Vilenkin system
• Vilenkin–Fourier series
• Cesàro means
• Convergence in norm