Results 111 to 120 of about 6,527 (212)

A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I. [PDF]

Rev Mat Complut, 2023
Comi GE, Stefani G.
europepmc   +1 more source

Continuity and essential norm of operators defined by infinite tridiagonal matrices in weighted Orlicz and l∞ spaces

Open Mathematics
In this article, we provide a comprehensive study on the continuity and essential norm of an operator defined by an infinite tridiagonal matrix, specifically when it operates from a weighted Orlicz sequence space or a weighted l∞{l}^{\infty } space into ...
Ramos-Fernández Julio C., Ramos-Salas Carlos J., Salas-Brown Margot   +2 more
doaj   +1 more source

On Some New Sequence Spaces in 2-Normed Spaces Using Ideal Convergence and an Orlicz Function

Journal of Inequalities and Applications, 2010
The purpose of this paper is to introduce certain new sequence spaces using ideal convergence and an Orlicz function in 2-normed spaces and examine some of their properties.
Savaş E
doaj  

Invariant means and lacunary sequence spaces of order (α, β)

Demonstratio Mathematica
In this article, we use the notion of lacunary statistical convergence of order (α,β)\left(\alpha ,\beta ) to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function ℳ=(ℵk){\mathcal{ {\mathcal M} }}=\left({\
Ayman-Mursaleen Mohammad, Nasiruzzaman Md., Sharma Sunil K., Cai Qing-Bo   +3 more
doaj   +1 more source

On A Class of New Type Generalized Difference Sequences Related to the P-Normed <i>l</i><SUP><i>p</i></SUP> Space Defined By Orlicz Functions [PDF]

, 2013
Ayhan Eşi
openalex   +1 more source

The ergodicity of Orlicz sequence spaces

Journal of Functional Analysis
We prove that non-Hilbertian separable Orlicz sequence spaces are ergodic, i.e., the equivalence relation $\mathbb{E}_0$ Borel reduces to the isomorphism relation between subspaces of every such space. This is done by exhibiting non-Hilbertian asymptotically Hilbertian subspaces in those spaces, and appealing to a result by Anisca.
Noé de Rancourt, Ondřej Kurka
openaire   +2 more sources

Ideal Convergent Sequence Spaces with Respect to Invariant Mean and a Musielak-Orlicz Function Over n-Normed Spaces

International Journal of Analysis and Applications, 2018
In the present paper we defined I-convergent sequence spaces with respect to invariant mean and a Musielak-Orlicz function M = (M_k) over n-normed spaces.
Sunil K. Sharma
doaj   +2 more sources

Applications of Orlicz-Type Sequence Spaces in Summability Theory [PDF]

Anil Pratap Singh
openalex   +1 more source

Strict convexity of sequence Orlicz-Musielak spaces with Orlicz norm

Journal of Functional Analysis, 1983
AbstractH. Milnes gave in (Pacific J. Math. 18 (1957), 1451–1483) a criterion for strict convexity of Orlicz spaces with respect to the so called Orlicz norm, in the case of nonatomic measure and a usual Young function. Here there are presented necessary and sufficient conditions for strict convexity of Orlicz-Musielak spaces (J. Musielak and W. Orlicz,
openaire   +2 more sources

THE NÖRLUND ORLICZ SPACES OF ENTIRE SEQUENCE [PDF]

, 2007
N. Subramanian, Yavuz Altın, Ҫ . Bektaş   +2 more
openalex   +1 more source