Results 31 to 40 of about 3,836,353 (120)
On deferred Cesàro mean in Paranormed space [PDF]
, 2020 The aim of the present study is to introduce the concepts of deferred statistically convergence, deferred statistical Cauchy sequence and deferred Cesàro summability in paranormed spaces. We investigate some properties of these concepts and some inclusion relations with examples.
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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 Let Γ(m) denotes the gamma function of a real number m∉{0,-1,-2,…}. Then the difference matrix Δ^α of a fractional order α is defined as (Δ^α v)_k=∑_i〖(-1)^i (Γ(α+1))/(i!Γ(α-i+1)) v_(k+i) 〗.Using the difference operator Δ^α, we introduce paranormed ...
Taja Yayıng
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On certain generalized paranormed spaces [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Raj, Kuldip, Kılıçman, Adem
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A New Paranormed Sequence Space Defined by Euler Totient Matrix [PDF]
, 2019 In the present paper, by using the regular matrix given by Euler Totient function, we give a new paranormed sequence space ,(?,p) and prove that the spaces ,(?,p) and ,(p) are linearly isomorphic.
İlkhan, Merve +2 more
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Paranormal operators on Banach spaces [PDF]
Bulletin of the Australian Mathematical Society, 1980 In this note we show that a paranormal operator T on a Banach space satisfies Weyl's theorem. This is accomplished by showing that(i) every isolated point of its spectrum is an eigenvalue and the corresponding eigenspace has invariant complement,(ii) for α ≠ 0, Ker(T-α) ⊥ Ker (T-β) (in the sense of Birkhoff) whenever β ≠ α.
Chourasia, N. N., Ramanujan, P. B.
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On the Paranormed Space L(t) of Double Sequences
, 2018 In this paper, we introduce the paranormed sequence space L(t) which is the generalization of the space L q of all absolutely q summable double sequences.
Basar, Feyzi, Capan, Husamettin
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Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018 We first define the notion of lacunary statistical convergence of order (α, β), and taking this notion into consideration, we introduce some seminormed difference sequence spaces over n‐normed spaces with the help of Musielak‐Orlicz function M=(Mk) of order (α, β).
S. A. Mohiuddine +3 more
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Some Generalized Difference Sequence Spaces Defined by a Sequence of Moduli in n‐Normed Spaces
Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015 We introduce some new generalized difference sequence spaces by means of ideal convergence, infinite matrix, and a sequence of modulus functions over n‐normed spaces. We also make an effort to study several properties relevant to topological, algebraic, and inclusion relations between these spaces.
Abdullah Alotaibi +3 more
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On generalized difference sequence spaces of fuzzy numbers - doi: 10.4025/actascitechnol.v35i1.15566
Acta Scientiarum: Technology, 2013 The idea of difference sequence space was introduced by Kizmaz (1981) and this concept was generalized by Tripathy and Esi (2006). In this article we introduced the paranormed sequence spaces cF(f,Λ,Δm,p), (f,Λ,Δm,p) and (f,Λ,Δm,p) of fuzzy numbers ...
Binod Chandra Tripathy, Shyamal Debnath
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On the Classical Paranormed Sequence Spaces and Related Duals over the Non‐Newtonian Complex Field
Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015 The studies on sequence spaces were extended by using the notion of associated multiplier sequences. A multiplier sequence can be used to accelerate the convergence of the sequences in some spaces. In some sense, it can be viewed as a catalyst, which is used to accelerate the process of chemical reaction.
Uğur Kadak +3 more
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