scholarly journals On the inclusion of classes of functions, being integrable with a weight on the interval and satisfying conditions of Lipschitz type

2014 ◽  
Vol 22 ◽  
pp. 24
Author(s):  
S.V. Goncharov
Keyword(s):  
Inclusion Theorem

We obtain generalization of Hardy and Littlewood inclusion theorem for some classes of functions being integrable with a weight on $[-1;1]$.

scholarly journals A note on an inclusion theorem

2001 ◽  
Vol 32 (1) ◽  
pp. 39-44
Author(s):  
Huseyin Bor
Keyword(s):  
Inclusion Theorem ◽  
Summability Methods

In this paper a relation between the $ | C, \alpha; \delta |_k $ and $ | \bar{N}, p_n; \delta |_k $ summability methods, which generalizes a result of Bor[2] concerning the $ | C, 1|_k $ and $ | \bar{N}, p_n |_k $ summability methods, is proved.

An Inclusion Theorem on Summability

1977 ◽  
Vol s2-16 (3) ◽  
pp. 483-489
Author(s):  
Dipty Rath
Keyword(s):  
Inclusion Theorem

An Inclusion Theorem for Generalized Cesàro and Riesz Means

1968 ◽  
Vol 20 ◽  
pp. 735-738 ◽  
Author(s):  
A. Meir
Keyword(s):  
Positive Integer ◽  
Complex Numbers ◽  
Arbitrary Sequence ◽  
Riesz Means ◽  
Inclusion Theorem ◽  
Unbounded Sequence ◽  
Image Position

For a positive integer, p, a strictly increasing unbounded sequence of positive numbers {λn: n ⩾ 1} and an arbitrary sequence of complex numbers {an} let12

scholarly journals The inclusion theorem for multiple summing operators

2004 ◽  
Vol 165 (3) ◽  
pp. 275-290 ◽  
Author(s):  
David Pérez-García
Keyword(s):  
Inclusion Theorem ◽  
Multiple Summing Operators

scholarly journals On an inclusion theorem

2000 ◽  
Vol 24 (6) ◽  
pp. 385-388 ◽  
Author(s):  
Hüseyin Bor
Keyword(s):  
Inclusion Theorem ◽  
Summability Methods

We have established a relation betweenθ−|R,pn|kandθ−|R,qn|ksummability methods,k>1, which generalizes a result of Sunouchi (1949) on|R,pn|and|R,qn|summability methods.

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