Inclusion Theorems for Sonnenschein Matrices
نویسندگان
چکیده
منابع مشابه
On Some Special Classes of Sonnenschein Matrices
In this paper we consider the special classes of Sonnenschein matrices, namely the Karamata matrices $K[alpha,beta]=left(a_{n,k}right)$ with the entries [{a_{n,k}} = sumlimits_{v = 0}^k {left( begin{array}{l} n\ v end{array} right){{left( {1 - alpha - beta } right)}^v}{alpha ^{n - v}}left( begin{array}{l} n + k - v - 1\ ,,,,,,,,,,k...
متن کاملIntersection theorems and mod p rank of inclusion matrices
Higher incidence matrices have proved an important tool both in design theory and extremal set theory. In the present paper some tight bounds on the rank over finite fields of some inclusion matrices are derived. In particular, a short proof of Wilson's mod p rank formula is given. A problem of Graham, Li, and Li concerning bases for so-called null t-designs is solved as well.
متن کاملInclusion Theorems for Z-spaces
1. N o t a t i o n a n d pre l iminary ideas . A sequence space is a vector subspace of the space co of all real (or complex) sequences. A sequence space E with a locally convex topology r is called a Kspace if the inclusion map E —* co is continuous, when co is endowed with the product topology (co = II^Li (R)*). A i£-space E with a Frechet (i.e., complete, metrizable and locally convex) topol...
متن کاملSome inclusion theorems for absolute summability
Inclusion of absolute summability domains of matrices Factorable matrices Summability method of Cesàro a b s t r a c t In this work the inclusion relations between absolute summability domains of a normal matrix A and certain factorable matrices are described. Thus, some classes of factorable matrices transforming the absolute summability domain of A into a set of convergent or absolutely conve...
متن کاملInclusion Theorems for Absolute Summability Methods
In this paper we have proved two theorems concerning an inclusion between two absolute summability methods by using any absolute summability factor.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1969
ISSN: 0002-9939
DOI: 10.2307/2036411