A Study on Approximation of a Conjugate Function Using Cesàro-Matrix Product Operator

Abstract

In this chapter, we present a study of the inaccuracy estimation of a function ζ∼ conjugate of a function ζ (2π-periodic) in weighted Lipschitz space WLpp≥1ξω, by Cesàro-Matrix (CδT) product means of its CFS1. This chapter is divided into seven section. The first section contains introduction of our chapter, the second section, we introduce some basic definitions and notations. In the third section lemmas and the fourth section contains our main theorems and proofs. In the fifth section, we introduce corollaries, the sixth section contains particular cases of our results and the last section contains exercise of our chapter.