Results 11 to 20 of about 507 (130)

Measure of noncompactness of operators and matrices on the spaces c and c0

International Journal of Mathematics and Mathematical Sciences, 2006
In this note, using the Hausdorff measure of noncompactness, necessary and sufficient conditions are formulated for a linear operator and matrices between the spaces c and c0 to be compact.
Bruno De Malafosse, Eberhard Malkowsky, Vladimir Rakocevic   +2 more
doaj   +2 more sources

An Infinite System of Fractional Order with p-Laplacian Operator in a Tempered Sequence Space via Measure of Noncompactness Technique

Fractal and Fractional, 2021
In the current study, a new class of an infinite system of two distinct fractional orders with p-Laplacian operator is presented. Our mathematical model is introduced with the Caputo–Katugampola fractional derivative which is considered a generalization ...
Ahmed Salem, Lamya Almaghamsi, Faris Alzahrani   +2 more
doaj   +2 more sources

A study on q-analogue of generalized Motzkin sequence spaces, their matrix transformations and compact operators. [PDF]

PLoS One
In this article, we have constructed generalized q-difference Motzkin sequence spaces [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] by composing q-Motzkin matrix with generalized q-difference matrix in the spaces ...
Quan JJ, Narrania D, Raj K, Cai QB.
europepmc   +2 more sources

Applications of Measure of Noncompactness in Matrix Operators on Some Sequence Spaces

Abstract and Applied Analysis, 2012
We determine the conditions for some matrix transformations from n(ϕ), where the sequence space n(ϕ), which is related to the ℓp spaces, was introduced by Sargent (1960).
M. Mursaleen, A. Latif
doaj   +2 more sources

Measure of Noncompactness for Compact Matrix Operators on Some BK Spaces

Journal of Function Spaces, 2014
We study the spaces w0p, wp, and w∞p of sequences that are strongly summable to 0, summable, and bounded with index p≥1 by the Cesàro method of order 1 and establish the representations of the general bounded linear operators from the spaces wp into the ...
E. Malkowsky, A. Alotaibi
doaj   +2 more sources

Applications of Hausdorff measure of noncompactness in the spaces of generalized means [PDF]

, 2013
M. ‎Mursaleen, Abdullah K. Noman
openalex   +2 more sources

Some notes on matrix mappings and their Hausdorff measure of noncompactness

, 2014
Eberhard Malkowsky, Faruk Özger, Abdullah Alotaibi   +2 more
openalex   +3 more sources

Hausdorff measure of noncompactness and Korovkin type approximation theorem for certain generalized difference sequence spaces

Mathematical Foundations of Computing
P. Baliarsingh, Sudhananda Maharana
openalex   +3 more sources

Applications of the Hausdorff measure of noncompactness in some sequence spaces of weighted means

Computers and Mathematics with Applications, 2010
M. ‎Mursaleen, Abdullah K. Noman
openalex   +2 more sources

RETRACTED: The Hausdorff measure of noncompactness for some matrix operators

, 2013
S. A. Mohiuddine, M. Mursaleen, Abdullah Alotaibi   +2 more
openalex   +2 more sources