Approximation of Functions belonging to Zygmund Class Associated with Hardy-Littlewood Series using Riesz Mean

Authors

B. P. Padhy, Kalinga Institute of Industrial Technology, Deemed to be University, Bhubaneswar-751024, IndiaFollow
P. Baliarsingh, Institute of Mathematics and Applications, Bhubaneswar-751029, IndiaFollow
L. Nayak, Kalinga Institute of Industrial Technology, Deemed to be University, Bhubaneswar-751024, IndiaFollow
H. Dutta, Department of Mathematics, Guahati University, Guwahati-781014, IndiaFollow

Author Country (or Countries)

India

Abstract

Approximations of functions in the generalized Zygmund class associated with Fourier series have been studied by various researchers. In the present article, we have estimated the degree of approximation of functions of generalized Zygmund class associated with Hardy-Littlewood series using Riesz mean. Our result generalizes the result of Das et al.[2].

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160211

Recommended Citation

P. Padhy, B.; Baliarsingh, P.; Nayak, L.; and Dutta, H. (2022) "Approximation of Functions belonging to Zygmund Class Associated with Hardy-Littlewood Series using Riesz Mean," Applied Mathematics & Information Sciences: Vol. 16: Iss. 2, Article 11.
DOI: http://dx.doi.org/10.18576/amis/160211
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss2/11