Results 1 to 10 of about 813 (141)
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 a unified study of relative Chebyshev radii and Hausdorff measures of noncompactness [PDF]
, 2004 The paper is concerned with the notion of the Lifschitz modulus and its relationship with both relative Chebyshev radii and Hausdorff measures of noncompactness.Junta de AndalucíaState Committee for Scientific Research of ...
Espínola García, Rafael +2 more
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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 the space $\ell_{p}^{\lambda}(\widehat{F}).$ Additionally, we characterize some matrix classes on ...
Bipan Hazarika +3 more
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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$l_{\infty }(\Delta _{q}),$ $c(\Delta _{q})$ or $c_{0}(\Delta _{q})$.
Fadime Gökçe
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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]. Further, by applying the Hausdorff measure of noncompactness, we establish the necessary and sufficient conditions for such operators to be ...
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 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Karaisa
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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 < ? with the help of Meir-Keeler condensing operators and Hausdorff measure of noncompactness. With an example, we illustrate our findings.
Anupam Das +2 more
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Some notes on matrix mappings and their Hausdorff measure of noncompactness
Filomat, 2014 We consider the sequence spaces s0?(?B), s(c)? (?B) and s?(?B) with their topological properties, and give the characterizations of the classes of matrix transformations from them into any of the spaces ?1, ?1, c0 and c. We also establish some estimates for the norms of bounded linear operators defined by those matrix transformations ...
Eberhard Malkowsky +2 more
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The Hausdorff measure of noncompactness of matrix operators on some BK spaces [PDF]
Operators and Matrices, 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 and bounded sequences, Thai J. Math. 8(2) (2010) 311–329].
M. Mursaleen, Abdullah K. Noman
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