On Approximation of Functions Belonging to some Classes of Functions by $(N,p_n,q_n)(E,\theta )$ Means of Conjugate Series of Its Fourier Series

Document Type : Original Article

Authors

Xhevat Zahir Krasniqi ¹

Deepmala - ²

¹ University of Prishtina "Hasan Prishtina", Faculty of Education, Department of Mathematics and Informatics, Avenue "Mother Theresa" 5, 10000 Prishtina, Kosovo.

² Mathematics Discipline, PDPM Indian Institute of Information Technology, Design and Manufacturing, Jabalpur, Dumna Airport Road, P.O.: Khamaria, Jabalpur 482 005, Madhya Pradesh, India.

10.22034/kjm.2019.97173

Abstract

We obtain some new results on the approximation of functions belonging to some classes of functions by $(N,p_n,q_n)(E,\theta )$ means of conjugate series of its Fourier series. These results, under conditions assumed here, are better than those obtained previously by others. In addition, several particular results are derived from our results as corollaries.

Keywords

Fourier series

generalized N"{o}rlund means

conjugate Fourier series

degree of approximation

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