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1.
For a trigonometric series
defined on [−π, π)
m
, where V is a certain polyhedron in R
m
, we prove that
if the coefficients a
k
satisfy the following Sidon-Telyakovskii-type conditions:
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 5, pp. 579–585, May, 2008. 相似文献
2.
This paper begins with new definitions for double sequence spaces. These new definitions are constructed, in general, by combining
modulus function and nonnegative four-dimensional matrix. We use these definitions to establish inclusion theorems between
various sequence spaces such as: If A = (a
m,n,k,l
) be a nonnegative four-dimensional matrix such that
$
\mathop {\sup }\limits_{m,n} \sum\limits_{k,l = 0,0}^{\infty ,\infty } {a_{m,n,k,l} < \infty }
$
\mathop {\sup }\limits_{m,n} \sum\limits_{k,l = 0,0}^{\infty ,\infty } {a_{m,n,k,l} < \infty }
相似文献
3.
Oto Strauch 《Monatshefte für Mathematik》1995,120(2):153-164
It is shown that the following three limits
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