Results 11 to 20 of about 9,771 (187)
The application domain of difference type matrix D(r,0,s,0,t) on some sequence spaces [PDF]
We say that a regular graph G of order n and degree r ≥ 1 (which is not the complete graph) is strongly regular if there exist non-negative integers τ and θ such that |Si ∩ Sj | = τ for any two adjacent vertices i and j, and |Si ∩ Sj | = θ for any two ...
Paul Avinoy, Tripathy Binod Chandra
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Binary Operations in Metric Spaces Satisfying Side Inequalities
The theory of metric spaces is a convenient and very powerful way of examining the behavior of numerous mathematical models. In a previous paper, a new operation between functions on a compact real interval called fractal convolution has been introduced.
María A. Navascués +2 more
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Uniformly factoring weakly compact operators and parametrised dualisation
This article deals with the problem of when, given a collection $\mathcal {C}$ of weakly compact operators between separable Banach spaces, there exists a separable reflexive Banach space Z with a Schauder basis so that every element in $\mathcal {C ...
L. Antunes, K. Beanland, B. M. Braga
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A Schauder basis for $$L_2$$ consisting of non-negative functions [PDF]
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Daniel Freeman +2 more
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A geometrical characterization of Schauder basis [PDF]
Concerning basis in a Banach space, a characterization for a weak basis to be a Schauder basis is given in terms of the geometrical behavior of the set of linear, closed hulls wich are generated by subsequences of the expansion sequences of the basis.
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On Λ-Fibonacci difference sequence spaces of fractional order
In this article, we introduce -Fibonacci difference operator of fractional order which is obtained by the composition of -Fibonacci matrix and backward fractional difference operator defined by and introduce the sequence spaces and We give some ...
Taja Yaying
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Constraint Qualification with Schauder Basis for Infinite Programming Problems
AbstractWe consider infinite programming problems with constraint sets defined by systems of infinite number of inequalities and equations given by continuously differentiable functions defined on Banach spaces. In the approach proposed here we represent these systems with the help of coefficients in a given Schauder basis.
E. M. Bednarczuk +2 more
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Generalised cosine functions, basis and regularity properties [PDF]
We examine regularity and basis properties of the family of rescaled $p$-cosine functions. We find sharp estimates for their Fourier coefficients. We then determine two thresholds, $p_02$, such that this family is a Schauder basis of $L_s(0,1)$ for all ...
Boulton, Lyonell, Melkonian, Houry
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Some New Cauchy Sequence Spaces
In this paper, our goal is to introduce some new Cauchy sequence spaces. These spaces are defined by Cauchy transforms. We shall use notations $C_{\infty }\left( s,t\right) $, $C\left( s,t\right) $ and $C_{0}\left( s,t\right) ~$for these new sequence ...
Harun Polat
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Haar system as Schauder basis in Besov spaces: The limiting cases for 0 < p <= 1 [PDF]
We show that the d-dimensional Haar system H^d on the unit cube I^d is a Schauder basis in the classical Besov space B_{p,q,1}^s(I^d ...
Oswald, Peter
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