Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

A sequence-to-function analogue of the Hausdorff means for double sequences: the $[J,$ $f(x, y)]$ means


Author: Mourad El-Houssieny Ismail
Journal: Proc. Amer. Math. Soc. 48 (1975), 403-408
MSC: Primary 40G05
DOI: https://doi.org/10.1090/S0002-9939-1975-0364942-3
MathSciNet review: 0364942
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we extend the Jakimovski $[J,f(x)]$ means to double sequences. We call the new means the $[J,f(x,y)]$ means. We characterize such $f$’s that give rise to regular and to totally regular $[J,f(x,y)]$ means. We also give a necessary and sufficient condition for representability of a function $f(x,y)$ as a double Laplace transform with a determining function of bounded variation in two variables.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 40G05

Retrieve articles in all journals with MSC: 40G05


Additional Information

Keywords: Jakimovski’s <IMG WIDTH="75" HEIGHT="41" ALIGN="MIDDLE" BORDER="0" SRC="images/img2.gif" ALT="$[J,f(x)]$"> means, regular and totally regular <!– MATH $[J,f(x,y)]$ –> <IMG WIDTH="95" HEIGHT="41" ALIGN="MIDDLE" BORDER="0" SRC="images/img1.gif" ALT="$[J,f(x,y)]$"> means, Laplace transforms in two variables
Article copyright: © Copyright 1975 American Mathematical Society