On |N,pn; |k Summability of orthogonal series

Author:
SATISH CHANDRA1 and MONIKA VARSHNEY2
Affiliation:

1Department of Mathematics SM PG College Chandausi India

2Department of Computer Science The LNM Institute of Information TechnologyJaipur India

Email:-varsmonika92@gmail.com

Keyword:
|N,pn; |k summability, orthogonal series. 2000 Mathematics subject classification : 40D05, 40E05, 40F05, 40G05, 42C05 and 42C10.
Issue Date:
December 2012
Abstract:

In this paper we have proved a theorem on |N,pn; |k summability
of orthogonal series, which generalizes various known results.
However, our theorem is as follows:-
Theorem : Let 1  k  2, and 0k<1. If {pn} be a positive nonincreasing
sequence such thatthe orthogonal series  nan n (x) is summable |N,pn;|k almost
everywhere1-4.

Pages:
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
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Copy the following to cite this article:

SATISH CHANDRA1 and MONIKA VARSHNEY2, "On |N,pn; |k Summability of orthogonal series", Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 3, Page Number , 2016

Copy the following to cite this URL:

SATISH CHANDRA1 and MONIKA VARSHNEY2, "On |N,pn; |k Summability of orthogonal series", Journal of Ultra Scientist of Physical Sciences, Volume 24, Issue 3, Page Number , 2016

Available from: https://www.ultrascientist.org/paper/563/

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