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
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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
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On composition operators of Fibonacci matrix and applications of Hausdorff measure of noncompactness
Boletim da Sociedade Paranaense de Matemática, 2021 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
Bipan Hazarika +3 more
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Hausdorff measure of noncompactness of matrix operators on some sequence spaces of a double sequential band matrix [PDF]
Journal of Inequalities and Applications, 2015 The sequence spaces l∞(B˜,p)$l_{\infty}(\tilde{B},p)$, c(B˜,p)$c(\tilde{B},p)$, and c0(B˜,p)$c_{0}(\tilde{B},p)$ of non-absolute type derived by the double sequential band matrix B(r˜,s˜)$B(\tilde{r},\tilde{s})$ have recently been defined.
Elahe Abyar, Mohammad Bagher Ghaemi
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Hausdorff measure of noncompactness of matrix mappings on certain difference sequence spaces
Boletim da Sociedade Paranaense de Matemática, 2022 The well-known difference sequence spaces were introduced by Kızmaz [17] in 1981 and have been generalized by many authors uptill now. These spaces were fi rst time extended by Sarıgöl [31] to the sequence spaces$l_{\infty }(\Delta _{q}),$ $c(\Delta _{q})
Fadime Gökçe
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Filomat, 2022 In this article, we discuss the solvability of infinite systems of singular integral equations of two variables in the Banach sequence spaces C(I ? I, ?p) with I = [0, T], T > 0 and 1 < p < ?
Anupam Das +2 more
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The Hausdorff measure of noncompactness of matrix operators on some BK spaces [PDF]
, 2011 In the present paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the spaces c0 and ∞ which have recently been introduced in [On the spaces of λ -convergent ...
M. Mursaleen, Abdullah K. Noman
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Hausdorff measure of noncompactness of matrix mappings on Cesàro spaces
Boletim da Sociedade Paranaense de Matemática, 2020 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].
G. Canan Hazar Güleç +1 more
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Hausdorff measure of noncompactness in some sequence spaces of a triple band matrix [PDF]
Journal of Inequalities and Applications, 2013 The sequence spaces c0(B), ℓ∞(B) have recently been introduced by Sömez (Comput. Math. Appl. 62:641-650, 2011). In this paper, we establish some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix
Ali Karaisa
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Measure of noncompactness for an infinite system of fractional Langevin equation in a sequence space
Advances in Difference Equations, 2021 A new sequence space related to the space ℓ p $\ell _{p}$ , 1 ≤ p < ∞ $1\leq ...
Ahmed Salem +2 more
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