Integrability and L 1−Convergence of Certain Trigonometric Series

Abstract

The present dissertation entitled, “Integrability and L 1−convergence of Certain Trigonometric Series”, contains a brief account of investigations carried out by me on L 1−convergence of Trigonometric Cosine Series under the supervision of Dr. Jatinderdeep Kaur, Assistant Professor, School of Mathematics and Computer Applications, Thapar University, Patiala. The work presented in this dissertation has been divided into four chapters. The first chapter is introductory. In this chapter, apart from setting up the notations and terminology to be used in sequel, we have presented some known results. The purpose of chapter II is to study the integrability and L 1−convergence of Fourier cosine series. In chapter III, we studied the necessary and sufficient condition for the L 1−convergence of Rees-Stanojevic cosine sums. In chapter IV, we have studied the L 1−convergence of Ram-Kumari modified cosine sum. Towards the end, references of various publications cited in the present dissertation have been reported.