On the Hausdorff measure of noncompactness for the parameterized Prokhorov metric [PDF]
Journal of Inequalities and Applications, 2016 We quantify the Prokhorov theorem by establishing an explicit formula for the Hausdorff measure of noncompactness (HMNC) for the parameterized Prokhorov metric on the set of Borel probability measures on a Polish space.
Ben Berckmoes
exaly +10 more sources
Hausdorff measure of noncompactness of matrix operators on some new difference sequence spaces [PDF]
Journal of Inequalities and Applications, 2016 The new sequence spaces X ( r , s , t ; Δ ) $X(r,s,t;\Delta)$ for X ∈ { l ∞ , c , c 0 } $X\in\{l_{\infty}, c, c_{0}\}$ have been defined by using generalized means and difference operator.
Elahe Abyar, Mohammad Bagher Ghaemi
doaj +4 more sources
Hausdorff measure of noncompactness in some sequence spaces of a triple band matrix [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Karaisa
exaly +5 more sources
Applications of the Hausdorff measure of noncompactness in some sequence spaces of weighted means [PDF]
Computers and Mathematics With Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M Mursaleen, Abdullah K Noman
exaly +4 more sources
Hausdorff measure of noncompactness of matrix mappings on Cesàro spaces
Boletim da Sociedade Paranaense de Matemática, 2021 In this study we establish some identities or estimates for operator norms and the Hausdorff measure of noncompactness of certain operators on spaces |C_{α}|_{k}, which have more recently been introduced in [14]. Further, by applying the Hausdorff measure of noncompactness, we establish the necessary and sufficient conditions for such operators to be ...
Gulec, G. Canan Hazar, Sarigol, M. Ali
openaire +6 more sources
On composition operators of Fibonacci matrix and applications of Hausdorff measure of noncompactness [PDF]
Boletim da Sociedade Paranaense de Matemática, 2022 The aim of the paper is introduced the composition of the two infinite matrices $\Lambda=(\lambda_{nk})$ and $\widehat{F}=\left( f_{nk} \right).$ Further, we determine the $\alpha$-, $\beta$-, $\gamma$-duals of new spaces and also construct the basis for the space $\ell_{p}^{\lambda}(\widehat{F}).$ Additionally, we characterize some matrix classes on ...
Das, Anupam +3 more
openaire +4 more sources
Hausdorff measure of noncompactness of matrix operators on some sequence spaces of a double sequential band matrix [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammad Bagher Ghaemi
exaly +2 more sources
A study on q-analogue of generalized Motzkin sequence spaces, their matrix transformations and compact operators. [PDF]
PLoS ONEIn 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 ...
Jun-Jie Quan +3 more
doaj +2 more sources
Journal of Mathematical Analysis and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M Mursaleen, Abdullah K Noman
exaly +2 more sources
Compactness in Groups of Group-Valued Mappings
Mathematics, 2022 We introduce the concepts of extended equimeasurability and extended uniform quasiboundedness in groups of group-valued mappings endowed with a topology that generalizes the topology of convergence in measure.
Diana Caponetti +2 more
doaj +1 more source