Analyzing Convergence Challenges of a Function of Hexagonal Fourier Series via Generalized Zygmund Norm

Abstract

Our present investigation focuses on addressing the convergence challenge associated with an H-periodic function represented by a hexagonal Fourier series within the space Z(χ) p (p ≥ 1), employing the generalized N¨orlund-deferred Ces`aro (N a,bDh g ) product operator. The main outcome of our study yields several corollaries. Additionally, we delve into an application of our primary findings.