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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 4 | Year 2019 | Article Id. IJMTT-V65I4P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I4P519

Degree of Approximation of Function in the Holder Metric by (N,Pn) (E,q) Means


Santosh Kumar Sinha, U.K.Shrivastava
Abstract

In this paper, a theorem on degree of approximation of function in the Holder metric by (N,Pn) (E,q) means has been established.

Keywords
Degree of approximation, Holder metric, (N,Pn) mean, (E,q) mean.
References

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[2] K.Qureshi , “On degree of approximation to a function belonging to the class Lipα”,Indian Jour.of Pure Appl. Math., 13 No.8,PP.898 ,1982.
[3] P.Chandra,”On the generalized Fejer means in the metric of Holder space,” Mathematische Nachrichten, vol.109,no.1,pp. 39-45,1982.
[4] R.N.Mohapatra and P.chandra”Degree of approximation of function in Holder metric “ Acta Mathematica Hungaria,vol.41,no.1-2,pp. 67-76,1983.
[5] P.chandra,” Degree of Approximation of function in the Holder metric ,Jour. Indian Math. Soc.,53,PP. 99-114,1988
[6] P.Chandra,”Degree of approximation of functionin the Holder metric by Borel Means”,Journal of Mathematical Anal. And Applications,Vol.149,Issue 1, pp. 236 – 248,1990.
[7] G.Das,T.ghosh and B.K.Ray,”Degree of approximation of function in the Holder Metric by (e,c) means” Proceedings of the Indian Academy of Science,vol.10 pp.315-327,1995.
[8] T. Singh and P. Mahajan,”Error bound of periodic signal in the Holder metric,” International journal of mathematics and Mathematical Science, vol. 2008 article ID 495075, 9 pages,2008.
[9] Santosh Kumar Sinha and U.K.Shrivastava “ The Almost (E,q) (N,Pn) Summability of Fourier Series” Int.J.Math.&Phy.Sci.Research, Vol 2, Issue 1,PP.553-555, Apr – Sep 2014.
[10] Vishnu Narayan Mishra and Kejal Khatri,”Degree of Approximation of Function f ∈Hw Class by the Np E1 Means in the Holder Metric,” international journalof mathematics and Mathematical Science, vol. 2014, article ID 837408, 9 page 2014.

Citation :

Santosh Kumar Sinha, U.K.Shrivastava, "Degree of Approximation of Function in the Holder Metric by (N,Pn) (E,q) Means," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 4, pp. 101-106, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I4P519

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