On translativity of absolute Rogosinski-Bernstein summability methods

The paper is concerned with the problem of translativity of an absolute Rogosinski-Bernstein summability methods (Bh); 0≦h≦1. The paper contains two results that when h; 12≦h≦1, |Bh| is translative and when h; (0<h<12), then |Bh| is not translative neither to the left nor to the right.

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Bibliographic Details
Main Author: Azmi K. Al-Madi
Format: Article
Language:English
Published: Wiley 1988-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171288000614
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author Azmi K. Al-Madi
author_facet Azmi K. Al-Madi
author_sort Azmi K. Al-Madi
collection DOAJ
description The paper is concerned with the problem of translativity of an absolute Rogosinski-Bernstein summability methods (Bh); 0≦h≦1. The paper contains two results that when h; 12≦h≦1, |Bh| is translative and when h; (0<h<12), then |Bh| is not translative neither to the left nor to the right.
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institution Kabale University
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-874d995b82414a379528e868fb3821122025-02-03T05:59:55ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111351752110.1155/S0161171288000614On translativity of absolute Rogosinski-Bernstein summability methodsAzmi K. Al-Madi0Department of Mathematics, U.A.E. University, Al-Ain, United Arab EmiratesThe paper is concerned with the problem of translativity of an absolute Rogosinski-Bernstein summability methods (Bh); 0≦h≦1. The paper contains two results that when h; 12≦h≦1, |Bh| is translative and when h; (0<h<12), then |Bh| is not translative neither to the left nor to the right.http://dx.doi.org/10.1155/S0161171288000614absolute summabilityRogosinski-Bernstein methodssequence-to-sequence transformationabsolutely regulartranslative.
spellingShingle Azmi K. Al-Madi
On translativity of absolute Rogosinski-Bernstein summability methods
International Journal of Mathematics and Mathematical Sciences
absolute summability
Rogosinski-Bernstein methods
sequence-to-sequence transformation
absolutely regular
translative.
title On translativity of absolute Rogosinski-Bernstein summability methods
title_full On translativity of absolute Rogosinski-Bernstein summability methods
title_fullStr On translativity of absolute Rogosinski-Bernstein summability methods
title_full_unstemmed On translativity of absolute Rogosinski-Bernstein summability methods
title_short On translativity of absolute Rogosinski-Bernstein summability methods
title_sort on translativity of absolute rogosinski bernstein summability methods
topic absolute summability
Rogosinski-Bernstein methods
sequence-to-sequence transformation
absolutely regular
translative.
url http://dx.doi.org/10.1155/S0161171288000614
work_keys_str_mv AT azmikalmadi ontranslativityofabsoluterogosinskibernsteinsummabilitymethods