Degree of Convergence of a Function in Generalized Zygmund Norm Using Karamata-Matrix (KλA) Product operator

Authors

  • H. K. Nigam Central University of South Bihar, Bihar (India)
  • Manoj Kumar Sah Central University of South Bihar

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i2.4756

Keywords:

Degree of convergence, generalized Zygmund space, Karamata- Matrix transformation, Fourier series, modulus of continuity

Abstract

In the present paper, we obtain the results on the degree of convergence of a function of Fourier series in generalized Zygmund space using Karamata-Matrix (KλA) product operator. We also study an application of our main result.

Author Biography

H. K. Nigam, Central University of South Bihar, Bihar (India)

 

Professor and Former Head, Department of Mathematics Former Dean, School of Mathematics, Computer Science and Statistics  Central University of South Bihar Gaya-824236, Bihar (India)

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Published

2023-04-30

How to Cite

H. K. Nigam, & Manoj Kumar Sah. (2023). Degree of Convergence of a Function in Generalized Zygmund Norm Using Karamata-Matrix (KλA) Product operator. European Journal of Pure and Applied Mathematics, 16(2), 1302–1317. https://doi.org/10.29020/nybg.ejpam.v16i2.4756

Issue

Section

Nonlinear Analysis